Figures
Abstract
Substrate-induced biaxial compressive stress and threading dislocations (TDs) have been recognized to severely impair the performance, stability, and reliability of InGaN/GaN light-emitting diodes (LEDs) for quite some time. In this study, a defect-selective-etched (DSE) porous GaN layer is fabricated employing electro-chemical etching and applied as a buffer layer for the development of InGaN/GaN LEDs with high quantum efficiency. Based on the analysis of photoluminescence and micro-Raman spectra, it has been revealed that the overgrown GaN epilayer on the DSE porous GaN has a relatively low TDs and relaxation of compressive stress in comparison to the conventional GaN epilayer. The remarkable improvement in the internal quantum efficiency of the InGaN/GaN LEDs is directly attributable to the strong radiative recombination in InGaN/GaN multi-quantum-wells caused by stress relaxation and TDs annihilation. Our findings indicate that the use of DSE porous GaN as a buffer layer may be a viable approach for producing crystalline GaN epilayers and high-performance LEDs.
Citation: Park AH, Baek S, Kim YW, Chandramohan S, Suh E-K, Seo TH (2022) Defect-selective-etched porous GaN as a buffer layer for high efficiency InGaN/GaN light-emitting diodes. PLoS ONE 17(11): e0277667. https://doi.org/10.1371/journal.pone.0277667
Editor: Zhixing Gan, Nanjing Normal University, CHINA
Received: July 25, 2022; Accepted: November 1, 2022; Published: November 17, 2022
Copyright: © 2022 Park et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Data Availability: All relevant data are within the paper.
Funding: This research was conducted with the support of the Korea Institute of Industrial Technology project "Development of quantum dot-based sensor material and component technology for eye-safe Lidar system (KITECH EM-22-0002) and was a part of the project titled ‘The development of marine-waste disposal system optimized in an island-fishing village’, funded by the Ministry of Oceans and Fisheries, Korea.
Competing interests: The authors have declared that no competing interests exist.
Introduction
Gallium nitride (GaN)-based light-emitting diodes (LEDs) have been widely used over the past few decades for a plethora of visible light applications due to technological advancement of the field in terms of device efficiency, durability, and stability [1–5]. While the latter two qualities are to a large extent inherent to the materials properties, the device efficiency, the sum of internal and external quantum efficiencies, is principally decided by the structural and optical quality of the active layers and the device configuration. The most ideal way to achieve a maximum internal quantum efficiency (IQE) is to grow the active layers on a native GaN substrate. However, due to the high cost of the native substrate GaN-based LEDs are usually grown on a foreign substrate such as c-plane sapphire, SiC or Si. Sapphire has a particular advantage for being highly stable at around the GaN growth temperatures, and its easily affordable price and manufacturing readiness level add further merits to make it the most common substrate of use in the GaN-based LED industry. However, the direct growth of GaN-based LEDs on sapphire leads to reduced degree of crystallinity. This is due to the fact that the mismatches in lattice constant (and thermal expansion coefficient) between the GaN and the sapphire accommodate a biaxial compressive strain during the heteroepitaxy of GaN. As a result, threading dislocations (TDs) emanate from the interface and further propagates into subsequently grown InGaN active layers [6–8]. Accordingly, the quantum efficiency degradation of GaN-based LEDs is inevitable as TDs are known to act as non-radiative recombination centers [9, 10].
In recent years, a variety of methods have been proposed to improve the quantum efficiency of the GaN-based LEDs. Epitaxial lateral overgrowth (ELO) is the most widely used method for the growth of high crystal quality GaN epilayer [11–14], wherein a patterned interlayer (such as SiO2 or SiNx) or a patterned substrate is the key requirements in order to facilitate the lateral overgrowth. Recently, nanoscale-materials-based augmented ELO has gained considerable attention due to its potential for more efficient TD annihilation and stress relaxation [15–17]. While ELO is still considered as an effective approach for the heteroepitaxy of GaN LEDs, the complexity of manufacturing process and associated cost increase holds this method back from being a choice for industry scale production.
Meanwhile, wet-chemical etching (WCE) has emerged as a potential method in nitride semiconductor industry, mostly for patterning of the layer, but at the same time it remains to be a key surface processing route for effectively controlling the lateral overgrowth [18–21]. Besides its advantage as a simple process, WCE can etch defect sites selectively in GaN epilayers under the use of specific etchants such as phosphoric acid (H3PO4), molten potassium hydroxide (KOH), and mixed solution of H3PO4/H2SO4 [22–24]. However, the highly anisotropic etching nature of the defects in GaN epilayer can cause merging of etch pits, which in turn can increase the etch pattern size. In contrast, electro-chemical etching (ECE) as a well controllable approach is gaining considerable interest within the nitride device community in recent times [25–27]. For instance, ECE has the potential for selective lateral etching of certain sacrificial nitride layers in the realization of thin film flip-chip LEDs [26], freestanding devices or III-nitride membranes [27–29], etc. Recently, it has been reported that the GaN-based LED membranes with a complete device structure from the Si substrate could be achieved by ECE of highly conductive AlN/Si interface [30]. Also, N. Fiuczeka et al. demonstrated well-controlled ECE of p-type GaN under a constant bias using a tunnel junction between the p- and n-GaN layers to inject the hole carriers for etching to occur at the p-GaN/solution interface [31]. The ECE is not only simple, but also a very efficient and precise fabrication approach for generating porous GaN layer [25, 32, 33]. In this study, we employed an ECE approach standardized by our group [34], in order to maintain the etch pattern size in the nanoscale regime. In this process, the GaN epilayer undergoes selective etching at most of the defect sites and regions of highest conductivity, leading to a porous GaN layer with etch pit density (EPD) almost comparable to the density of dislocations [34]. According to our earlier findings based on transmission electron microscopy observations, the dislocation lines propagating further during the overgrowth step of GaN epitaxy on such defect-selective-etched (DSE) GaN tend to bend laterally and annihilate. Using the DSE porous GaN layer as a template, herein we demonstrate the growth of high quality GaN epilayer and its application to fabricate high efficiency GaN-based LEDs.
Materials and methods
Preparation of DSE porous GaN layer and overgrown GaN epilayer on the DSE porous GaN
The GaN epilayers and the multiple-quantum well (MQW) LED structures are grown on a (0001) c-plane sapphire substrate by metal-organic chemical vapor deposition (MOCVD) system. Prior to the GaN growth, the substrate is subjected to a thermal cleaning step, followed by a 25 nm-thick buffer GaN layer is grown at 560°C for 120 s at a growth pressure of 400 mbar. Subsequently, growth of a 2 μm-thick un-doped GaN epilayer is carried out at 1100°C for 120 min. After this step, to fabricate the DSE porous GaN layer, the sample is taken out from the MOCVD reactor and subjected to the ECE in 0.3 M oxalic acid solution at a constant current of 1 mA for 20 min at 5°C, using carbon plate as a cathode and un-doped GaN epilayer as a working electrode. More details of ECE of GaN can be found in Ref. 34. This is the optimal condition for obtaining uniform and a high density of porous etch pits (refer S1 Fig in the supplementary information). Then, the sample after thorough cleaning is loaded back into the MOCVD reactor and a 2 μm-thick un-doped GaN epilayer is overgrown onto the DSE porous GaN layer (which now serves as a buffer layer) at 1100°C for 120 min under a growth pressure of 400 mbar.
Growth of LED structures
InGaN/GaN MQW LED is realized on this substrate through the following growth steps. First, a 2 μm-thick n-type GaN epilayer is grown at 1100°C for 120 min at a pressure of 400 mbar. Thereafter, five pairs of InGaN quantum wells and GaN barriers are grown successively at 780°C and 870°C, respectively. Finally, a 150 nm-thick p-type GaN epilayer is grown at 980°C and thermal activation of the p-type GaN epilayer is carried out at 940°C for 40 s under ambient nitrogen by rapid thermal annealing. In summary, the InGaN/GaN MQW LED consisted of a DSE porous GaN buffer layer, an un-doped GaN epilayer, a 2 μm-thick Si-doped n-type GaN epilayer, five pairs of In0.03Ga0.97N/GaN MQWs, and a 150 nm-thick Mg-doped p-type GaN epilayer. For comparison, a reference InGaN/GaN MQW LED epilayer is grown on a conventional un-doped GaN epilayer (in place of DSE porous GaN buffer layer) in the same growth run to ensure reliability in comparison between the two devices.
Fabrication of LEDs
For the fabrication of isolated LED arrays on a wafer-scale, the InGaN/GaN MQW LED epi-wafer is etched until the n-type GaN epilayer is exposed for n-electrode formation using inductively coupled plasma reactive ion etching in conjunction with photolithography steps. Subsequently, a 200 nm-thick indium tin oxide (ITO) is deposited selectively on the p-GaN layer as a transparent and current spreading layer by electron beam evaporation. Finally, Cr (50 nm)/Au (250 nm) metals for the p- and the n-electrode are deposited onto both the ITO and the n-type GaN epilayer. A schematic diagram of the fabricated InGaN/GaN MQW LED is shown in Fig 1.
Fabrication process of the InGaN/GaN LEDs on a DSE porous GaN layer.
Characterization
The surface and cross-sectional morphology of the DSE porous GaN buffer layer and the overgrown un-doped GaN epilayer are analyzed by field-emission scanning electron microscopy (FESEM) and atomic force microscope (AFM). Raman and photoluminescence (PL) spectroscopic analyses are performed to investigate the crystalline quality and the residual stress of un-doped GaN epilayer overgrown on DSE porous GaN buffer layer and conventional GaN epilayer. The 632.8 nm-line of a He-Ne laser and the 325 nm-line of a He-Cd laser are used, respectively, as the excitation sources for Raman and PL spectral data collection. For the analysis of the radiative recombination efficiency of the MQWs, temperature-dependent and power-dependent PL measurements are also performed. Current-voltage (I-V), electroluminescence (EL), and light output power measurements are carried out on unpackaged LED chips using a probe station equipped with a parameter analyzer and a silicon photo detector.
Results and discussion
The morphologies of the GaN layer subjected to ECE and the overgrown GaN epilayer are studied by FESEM imaging. One can see from Fig 2(A) that the porous etch pits are randomly and densely formed in the GaN layer as a result of ECE. Since defect sites that exist in GaN layer are chemically weak and have many dangling bonds, they become reactive in acid catalysis and hence easily get etched [34–36]. The average diameter of the porous etch pits is estimated to be approximately 100 nm and the etch pit density (EPD) is estimated to be approximately 9.1×108 cm-2, which is close to the typical TD density in the GaN layer [8]. Fig 2(B) shows the surface morphology of the GaN epilayer overgrown on the DSE porous GaN buffer layer. It is well-known that the ELO often leave behind a trace during the coalescence process [37]. In our method, the overgrowth of the GaN epilayer on the DSE porous GaN buffer layer is estimated to favor coalescence process with a vanishing boundary, thus allowing for a flat overgrown GaN epilayer. This is highly probable as the nanoscale etch pits have the tendency to facilitates nanoscale ELO during the overgrowth on the DSE porous GaN buffer layer [34]. In addition, at the interface between the overgrown GaN epilayer and the DSE porous GaN buffer layer, air voids with a size distribution in the 100–150 nm range are observed, as shown in Fig 2(C). These air voids can serve as distributed Bragg reflector in enhancing the light extraction efficiency (LEE) of LEDs. The TD annihilation around the air voids can result a highly crystalline GaN epilayer with reduced defect density [17, 38, 39].
SEM images of (a) DSE porous GaN layer, (b) overgrown GaN epilayer on the DSE porous GaN layer, and (c) their interface.
To study the crystal quality and the internal residual stress in GaN epilayer overgrown on the DSE porous GaN buffer layer, we carried out PL and micro-Raman measurements. Fig 3(A) shows the PL spectra of the conventional GaN epilayer and the GaN epilayer overgrown on the DSE porous GaN buffer layer. The PL spectrum is dominated by near band-edge (NBE) luminescence at 3.409 and 3.420 eV, respectively, for the GaN epilayer with and without the DSE porous GaN buffer layer. This shows that the NBE emission peak of the GaN epilayer overgrown on the DSE porous GaN buffer layer is red-shifted by 11 meV, relative to the peak position of conventional GaN epilayer. Considering the fact that biaxial stress can induce about 23 meV/GPa shift in NBE emission peak, the estimated 11 meV red shift corresponds to a stress relaxation of 0.48 GPa [40]. Moreover, it is well known that the NBE intensity is sensitive to the defect density [41]. The PL intensity of the GaN epilayer overgrown on the DSE porous GaN buffer layer is increased, by approximately 25%, compared to that of the conventional GaN epilayer. This can be attributed to the improvement in crystalline quality of the GaN epilayer caused by the reduction in TDs and efficient stress relaxation. Fig 3(B) shows the micro-Raman spectra for the E2 (high) phonon mode in GaN. In general, the GaN epilayers grown on sapphire substrate accommodate a compressive biaxial stress due to difference in the thermal expansion coefficient between the sapphire and the GaN layer during the cool down step in the growth process. In our study, the conventional GaN epilayer grown on sapphire is found to be compressively strained, as the E2 (high) phonon frequency is blue-shifted by 2.4 cm-1, from the reported value (567.6 cm-1) of bulk stress-free GaN epilayer [42]. For the GaN epilayer overgrown on DSE porous GaN buffer layer, the E2 (high) phonon frequency is observed at 568.8 cm-1, which suggests a red-shift of the peak by 1.2 cm-1 relative to the position of the conventional GaN epilayer, verifying relaxation of compressive stress in the GaN epilayer overgrown on DSE porous GaN buffer layer. The degree of stress relaxation can be calculated from the empirical relation, Δω = K.σxx, where Δω is the difference in the measured E2 (high) phonon frequency from the bulk stress-free GaN epilayer value (567.6 cm-1), and K is the biaxial stress coefficient, 2.56 cm-1/GPa [43]. Accordingly, the biaxial stress values are estimated to be 0.94 and 0.47 GPa for conventional GaN epilayer and the GaN epilayer overgrown on the DSE porous GaN buffer layer, respectively. It is evident that the GaN epilayer overgrown on the DSE porous GaN buffer layer benefits from low internal residual stress due to edge dislocations inclination and annihilation induced by the ELO process [16]. Furthermore, the full width at half maximum of the E2 (high) phonon mode is estimated to be 5.21 and 5.10 cm-1 respectively, for the GaN epilayers on conventional and DSE porous GaN buffer layer.
(a) PL and (b) micro-Raman spectra of the conventional GaN and GaN epilayer overgrown on DSE porous GaN layer. AFM surface topography of (c) conventional GaN and (d) GaN epilayer overgrown on DSE porous GaN layer.
To give a further insight into the structural quality of the grown GaN epilayer, we carried out AFM imaging of the surface, as shown in Fig 3(C) and 3(D). This method allows us to easily analyze the differences in the sample quality. We observe a decrease in the root mean square (RMS) roughness from 0.55 nm to 0.34 nm, for the overgrown GaN on the DSE porous GaN buffer layer. In addition, the EPD, which on an average will be equal to the density of dislocations in GaN, is estimated to be 8.6×108 cm-2 and 2.3×108 cm-2, respectively, for the conventional GaN epilayer and the GaN epilayer overgrown on the DSE porous GaN buffer layer. It may be noted that the EPD value estimated from the SEM image after ECE process is comparable to the EPD value estimated from AFM image, indicating that the defect sites in the GaN layer are etched in acid catalysis. The reduced RMS and EPD values in GaN epilayer overgrown on the DSE porous GaN buffer layer suggests a significant suppression of TDs propagation. These results signify that high-quality GaN epilayers can be obtained on DSE porous GaN buffer layer.
Fig 4(A) compares the PL emission spectra of MQWs (or in other words LED epilayers) grown on the DSE porous GaN buffer layer and conventional GaN layer. The emission energies in both samples are nearly same with a peak maximum occurring at 2.93 eV. But, the PL intensity of the LED epilayers on the DSE porous GaN buffer layer is increased by 32% compared to that of the conventional LED epilayers. The observed PL enhancement is due to the reduced defect density by TD annihilation and improved radiative recombination by stress relaxation within the MQWs active region. In order to further validate the above results, the activation energy is estimated using the temperature-dependent PL measurements. Fig 4(B) shows the temperature dependence of normalized integrated PL intensity, which can be fitted to the following Arrhenius equation, , where I(T) is the normalized integrated PL intensity at assigned temperature T, C1 and C2 are constants related to the density of nonradiative recombination center, kB is the Boltzmann’s constant, EA1 and EA2 are the activation energies concerning the nonradiative recombination centers at low and high temperature regions, respectively. The EA1 represents the localized exciton binding energy whereas the EA2 is associated with the potential barrier between the localized potential for thermal activation confined carriers in MQWs active region [34]. By fitting the experimental data using the above Arrhenius equation, the values of EA1 and EA2 are estimated to be, respectively, 2.6 and 50 meV for the conventional LED epilayers and 8.5 and 64 meV for the LED epilayers with the DSE porous GaN buffer layer. The observed enhancement in activation energy suggests a stronger confinement of carriers within the LED epilayers grown on the DSE porous GaN buffer layer. This can be taken as direct experimental evidence of reduced TD density and efficient stress relaxation within the MQWs active region. The internal quantum efficiency (IQE) is yet another crucial parameter that determines the performance of the LEDs. It is usually defined as the ratio of the integrated PL intensity at 10 K to that at 300 K, assuming that the nonradiative recombination is negligible at 10 K [44, 45]. The IQE values are estimated to be 32 and 60% for the conventional LED epilayers and LED epilayers grown on the DSE porous GaN buffer layer, respectively. The higher activation energy and the enhanced IQE strongly supports the improved radiative recombination in MQWs grown on defect free, stress relaxed GaN buffer layer, which can offer a better overlapping between the electron and hole wavefunctions in InGaN/GaN MQWs [16, 46].
(a) PL spectra and (b) Arrhenius plots of the integrated PL intensities for the two LEDs studied.
To further support the result of the stress relaxation within the MQWs, the power-dependent PL spectra are recorded for laser power in the range from 1–35 mW and the results are shown in Fig 5. The PL peak position of the LED epilayers on the DSE porous GaN buffer layer at 1.0 mW excitation laser power is found to be blue-shifted by 4 meV relative to the value measured at 35 mW, while for the conventional LED epilayers the estimated blue-shift in the peak position is 11 meV. It is well known that piezoelectric fields induced by the residual strain in the MQWs can lead to quantum-confined Stark effect (QCSE) (the stronger the QCSE is, higher the blue shift of the PL peak) and reduce the radiative recombination efficiency. Therefore, the emission energy with increasing excitation power causes a blue-shift due to the band filling and screening effect of carriers [47]. The observed small blue shift (4 meV) in the LED epilayers on the DSE porous GaN buffer layer signifies a relatively weak QCSE, which suggests that the residual compressive stress is well relaxed in the MQWs.
Excitation-power dependent PL spectra of (a) conventional LEDs and (b) LEDs on DSE porous GaN layer.
To understand the real potential of the DSE porous GaN buffer layer in LEDs, the opto-electrical properties of the LEDs are investigated. Fig 6(A) shows the measured I-V characteristics of respective LEDs at an injection current of 20 mA. The forward voltage is estimated to be 3.9 and 3.7 V, respectively, for the conventional and the DSE porous GaN buffer layer incorporated LEDs. The reduced forward voltage observed for the later LED can be attributed to the decrease in the reverse leakage current (S3 Fig of the supporting information), which scale with the amount of TD density. In general, TDs in LED epilayers serve as current leakage paths and hence act as non-radiative recombination centers. Ideally, n/p-GaN epilayers with low TDs provide efficient current diffusion pathways which then deliver the current to active regions with uniform current densities. Therefore, the reduced forward voltage and increased slope of the I-V curve of the LEDs grown on DSE porous GaN buffer layer can be considered an indication of suppression of TDs. From Fig 6(B) and 6(C), one can observe that the EL intensity and light output power of the LEDs with DSE porous GaN buffer layer are significantly enhanced by 45% and 53%, respectively, compared to conventional LEDs performance, at an injection current of 20 mA. Of particular point of interest is the different enhancement factor for the light output power and the IQE. This can be attributed to the fact that the presence of air voids within the epilayer structure provide a maximum index contrast which efficiently scatter and reflect the light to increase the LEE [48, 49].
(a) I-V characteristics, (b) EL spectra, and (c) light output power of the two LEDs investigated in this study. The EL spectra are recorded at an applied current of 20 mA.
Conclusion
In summary, electro-chemical etching provided a way for defect-selective etching of GaN, which in turn allowed us to fabricate a porous GaN buffer layer for stress-relaxed growth of high quality InGaN/GaN LED epilayer structure. The photoluminescence and micro-Raman spectroscopy provided evidences for the relaxation of the internal residual stress and reduction in threading dislocations within the active layers of the LEDs grown on the porous GaN, which served as an effective buffer layer. A significant enhancement in the opto-electrical performance of the LEDs on the defect-selective etched porous GaN buffer layer is demonstrated. Our findings show that the defect-selective etched porous GaN buffer layer can be a better alternative to complex and expensive pattern formation strategies being used for epitaxial lateral overgrowth in producing high efficiency InGaN/GaN LEDs.
Supporting information
S1 Fig. Surface morphology of the DSE porous GaN.
To obtain uniform porous etch pits, we carried out ECE for different durations. S1 Fig shows the surface morphology of the DSE porous GaN buffer layer for different etching durations; 5, 20, and 40 min. The diameter and density of porous etch pits are strongly dependent on the etching time. In case of etching time of 5 min, the porous etch pits are not perfectly etched. When the etching time increased, the diameter of the porous etch pits increased due to merging of adjacent etch pits with one another. As a result, the etch pit density decreases with increasing etch duration. Based on the results, etching time of 20 min is identified to be the optimal condition for obtaining uniform and a high density of porous etch pits.
https://doi.org/10.1371/journal.pone.0277667.s001
(TIF)
S2 Fig. X-ray diffraction measurement of MQWs grown on DSE porous GaN.
S2 Fig shows the HRXRD spectrum of (002) reflection for omega-2theta scan of InGaN/GaN MQWs investigated in this work. The peak originating from GaN (002) plane, and the higher order satellite peaks (from -3 to 2) arising from the periodicity of the MQWs are clearly observed. The distinct and periodic satellite peaks indicate that the interface between the InGaN and GaN is very abrupt and the crystal quality is high. The indium composition in InGaN active layer is estimated to be approximately 3% by fitting the rocking curve.
https://doi.org/10.1371/journal.pone.0277667.s002
(TIF)
S3 Fig. Reverse bias voltage-current curves for two LEDs.
S3 Fig shows the leakage currents of LEDs with and without DSE porous GaN, respectively. The leakage current is estimated to be 2 nA and 80 nA, respectively, for the LEDs grown on DSE porous GaN and conventional GaN, at a reverse voltage of -5V. The observed low reverse bias current can be attributed to the elimination of dislocations by DSE porous GaN.
https://doi.org/10.1371/journal.pone.0277667.s003
(TIF)
References
- 1. Nakamura S., Krames M. R. History of gallium-nitride-based light-emitting diodes for illumination. Proc. IEEE. 2013; 101: 2211.
- 2. Templier F. GaN-based emissive microdisplays: A very promising technology for compact, ultra-high brightness display systems. J. Soc. Inf. Disp. 2016; 24/11: 669.
- 3. Wierer J. J. Jr., Tansu N. III-nitride micro-LEDs for efficient emissive displays. Laser & Photonics Rev. 2019; 13: 1900141.
- 4. Lv Q., Liu J., Mo C., Zhang J., Wu X., Wu Q., et al. Realization of highly efficient InGaN green LEDs with sandwich-like multiple quantum well structure_Role of enhanced interwell carrier transport. ACS Photonics. 2019; 6: 130.
- 5. Yao Y.-C., Hwang J.-M., Yang Z.-P., Haung J.-Y., Lin C.-C., Shen W.-C., et al. Enhanced external quantum efficiency in GaN-based vertical-type light-emitting diodes by localized surface plasmons. Sci. Rep. 2016; 6: 22659. pmid:26935648
- 6. Jain S. C., Willander M., Narayan J., Van Overstraeten R. III-nitrides-Growth, characterization, and properties. J. Appl. Phys. 2000; 87: 965.
- 7. Narayanan V., Lorenz K., Kim W., Mahajan S. Origins of threading dislocations in GaN epitaxial layers grown on sapphire by metalorganic chemical vapor deposition. Appl. Phys. Lett. 2001; 78: 1544.
- 8. Gibart P. Metal organic vapour phase epitaxy of GaN and lateral overgrowth. Rep. Prog. Phys. 2004; 67: 667.
- 9. Ferdous M. S., Wang X., Fairchild M. N., Hersee S. D. Effect of threading defects on InGaN-GaN multiple quantum well light emitting diodes. Appl. Phys. Lett. 2007; 91: 231107.
- 10. Armstrong A., Henry T. A., Koleske D. D., Crawford M. H., Westlake K. R., Lee S. R. Dependence of radiative efficiency and deep level defect incorporation on threading dislocation density for InGaN GaN light emitting diodes. Appl. Phys. Lett. 2012; 101: 162102.
- 11. Ling S.-C., Wang T.-C., Ko T.-S., Lu T.-C., Kuo H.-C., Wang S.-C. Characteristics of ultraviolet nonpolar InGaN GaN light-emitting diodes using trench epitaxial lateral overgrowth technology. J. Cryst. Growth. 2008; 310: 2330.
- 12. He C., Zhao W., Zhang K., He L., Wu H., Liu N., et al. High-quality GaN epilayers achieved by facet-controlled epitaxial lateral overgrowth on sputtered AlN-PSS templates. ACS Appl. Mater. Interfaces. 2017; 9: 43386. pmid:29164860
- 13. Ji Q., Li L., Zhang W., Wang J., Liu P., Xie Y., et al. Dislocation reduction and stress relaxation of GaN and InGaN multiple quantum wells with improved performance via serpentine channel. ACS Appl. Mater. Interfaces. 2016; 8: 21480. pmid:27484167
- 14. Cho C.-Y., Lee S.-J., Hong S.-H., Park S.-C., Park S.-E., Park Y., et al. Growth and seperation of high quality GaN epilayer from sapphire substrate by lateral epitaxial overgrowth and wet chemical etching. Appl. Phys. Express. 2011; 4: 012104.
- 15. Fong W. K., Leung K. K., Surya C. Growth and characterization of GaN InGaN multiple quantum wells on nanoscale epitaxial lateral overgrown layers. Cryst. Growth Des. 2011; 11: 2091.
- 16. Park A. H., Seo T. H., Chandramohan S., Lee G. H., Min K. H., Lee S., et al. Efficient stress-relaxation in InGaN GaN light-emitting diodes using carbon nanotubes. Nanoscale. 2015; 7: 15099. pmid:26351123
- 17. Chao S.-H., Yeh L.-H., Wu R. T., Kawagishi K., Hsu S.-C. Novel patterned sapphire substrates for enhancing the efficiency of GaN-based light-emitting diodes. RSC Adv. 2020; 10: 16284. pmid:35498868
- 18. Jang D., Jue M., Kim D., Kim H. S., Lee H., Kim C. Polarity-inverted lateral overgrowth and selective set-etching and regrowth (PILOSWER) of GaN. Sci. Rep. 2018; 8: 4112.
- 19. Zubialevich V. Z., McLaren M., Pampili P., Shen J., Arechavala M. A., Parbrook P. J. Reduction of threading dislocation density in top-down fabricated GaN nanocolumns via their lateral overgrowth by MOCVD. J. Appl. Phys. 2020; 127: 025306.
- 20. Benrabah S., Legallais M., Besson P., Ruel S., Vauche L., Pelissier B. et al. H3PO4-based wet chemical etching for recovery of dry-etched GaN surfaces. Appl. Surf. Sci. 2022; 582: 152309.
- 21. Constant A., Coppens P., Baele J., Ziad H., Novak T., Kostelnik P. et al. Selective wet etching and hydrolysis of polycrystalline AlN films grown by metal organic chemical vapor deposition. Mater. Sci. Semicond. Process. 2022; 137: 106157.
- 22. Hong S. K., Yao T., Kim B. J., Yoon S. Y., Kim T. I. Origin of hexagonal-shaped etch pits formed in (0001) GaN films. Appl. Phys. Lett. 2000; 77: 82.
- 23. Hsu H.-C., Su Y.-K., Cheng S.-H., Huang S.-J., Cao J.-M., Chen K.-C. Investigation of etch characteristics of non-polar GaN by wet chemical etching. Appl. Surf. Sci. 2010; 257: 1080.
- 24. Mishra M., Gundimeda A., Krishna S., Aggarwal N., Gahtori B., Dilawar N., et al. Wet chemical etching induced stress relaxed nanostructures on polar and non-polar epitaxial GaN films. Phys. Chem. Chem. Phys. 2017; 19: 8787.
- 25. Griffin P. H., Oliver R. A. Porous nitride semiconductors reviewed. J. Phys. D: Appl. Phys. 2020; 53: 383002.
- 26. Bergmann M. A., Enslin J., Hjort F., Wernicke T., Kneissl M., Haglund A. Thin-film flip-chip UVB LEDs realized by electrochemical etching. Appl. Phys. Lett. 2020; 116: 121101.
- 27. Bergmann M. A., Enslin J., Yapparov R., Hjort F., Wickman B., Marcinkevicius S. et al. Electrochemical etching of AlGaN for the realization of thin-film devices. Appl. Phys. Lett. 2019; 115: 182103.
- 28. Wang X., Zhang Y.-M., Xu Y., Si Z.-W., Xu K., Wang J.-F. et al. Electrochemical liftoff of freestanding GaN by a thick highly conductive sacrificial layer grown by HVPE. Chin. Phys. B. 2021; 30: 067306.
- 29. Ciers J., Bergmann M. A., Hjort F., Carlin J.-F., Grandjean N., Haglund A. Smooth GaN membranes by polarization-assisted electrochemical etching. Appl. Phys. Lett. 2021; 118: 062107.
- 30. Jiang T., Wang J., Liu J., Feng M., Yan S., Chen W. et al. Lift-off GaN-based LED membranes from Si substrate through electrochemical etching. Appl. Phys. Express. 2022; 15: 086501.
- 31. Fiuczeka N., Sawickaa M., Feduniewicz-Zmuda A., Siekacz M., Zak M., Nowakowski-Szkudlareka K. et al. Electrochemical etching of p-type GaN using a tunnel junction for efficient hole injection. Acta Mater. 2022; 234: 118018.
- 32. Pasayat S. S., Hatui N., Li W., Gupta C., Nakamura S., Denbaars S. P. et al. Method of growing elastically relaxed crack-free AlGaN on GaN as substrates for ultra-wide bandgap devices using porous GaN. Appl. Phys. Lett. 2020; 117: 062102.
- 33. Su X., Li Y., Zhang M., Hu P., Tian Z., Guo M. et al. Performance improvement of ultraviolet-A multiple quantum wells using a vertical oriented nanoporous GaN underlayer. Nanotechnology. 2020; 31: 445202. pmid:32674092
- 34. Park A. H., Lee K. J., Oh T. S., Lee Y. S., Jeong H., Seo T. H., et al. Growth of GaN Epilayers on Defect-Selective Etched Nanoporous GaN Templates Generated by Electrochemical Etching. J. Electrochem. Soc. 2011; 158: D119.
- 35. Lu L., Gao Z. Y., Shen B., Xu F. J., Huang S., Miao Z. L., et al. Microstructure and origin of dislocation etch pits in GaN epilayers grown by metal organic chemical vapor deposition. J. Appl. Phys. 2008; 104: 123525.
- 36. Weyher J. L., van Dorp D. H., Conard T., Nowak G., Levchenko I., Kelly J. J. Chemical etching of GaN in KOH solution_Role of surface polarity and prior photoetching. J. Phys. Chem. C. 2022; 126: 1115.
- 37. He Y., Wang J., Hu H., Wang Q., Huang Y., Ren X. Coalescence of GaAs on (001) Si nano-trenches based on three-stage epitaxial lateral overgrowth. Appl. Phys. Lett. 2015; 106: 202105.
- 38. Huang Y.-C., Lin C.-F., Chen S.-H., Dai J.-J., Wang G.-M., Huang K.-P., et al. InGaN-based light-emitting diodes with an embedded conical air-voids structure. Opt. Express. 2011; 19: A57. pmid:21263713
- 39. Cho C.-Y., Kwon M.-K., Park I.-K., Hong S.-H., Kim J.-J., Park S.-E., et al. High-efficiency light-emitting diodes with air voids embedded in lateral epitaxially overgrown GaN using a metal mask. Opt. Express. 2011; 19: A943.
- 40. Seo T. H., Park A. H., Park S., Kim Y. H., Lee G. H., Kim M. J., et al. Direct growth of GaN layer on carbon nanotube-graphene hybrid structure and its application for light emitting diodes. Sci. Rep. 2015; 5: 7747. pmid:25597492
- 41. Macht L., Weyher J. L., Grzegorczyk A., Larsen P. K. Statistical photoluminescence of dislocations and associated defects in heteroepitaxial GaN grown by metal organic chemical vapor deposition. Phys. Rev. B. 2005; 71: 073309.
- 42. Davydov V. Y., Kitaev Y. E., Goncharuk I. N., Tsaregorodtsev A. M., Smirnov A. N., Lebedev A. O., et al. Phonon spectrum of wurtzite GaN and AlN experiment and theory. J. Cryst. Growth. 1998; 189/190: 656.
- 43. Wagner J.-M., Bechstedt F. Phonon deformation potentials of a-GaN and-AlN_An ab initio calculation. Appl. Phys. Lett. 2000; 77: 346.
- 44. Bryan Z., Bryan I., Xie J., Mita S., Sitar Z., Collazo R. High internal quantum efficiency in AlGaN multiple quantum wells grown on bulk AlN substrates. Appl. Phys. Lett. 2015; 106: 142107.
- 45. Matioli E., Weisbuch C. Direct measurement of internal quantum efficiency in light emitting diodes under electrical injection. J. Appl. Phys. 2011; 109: 073114.
- 46. Park A. H., Chandramohan S., Seo T. H., Lee G. H., Min K. H., Hong C.-H., et al. Carbon-nanotube-assisted nanoepitaxy of Si-doped GaN for improved performance of InGaN GaN light-emitting diodes. Nanotechnology. 2016; 27: 275602. pmid:27232210
- 47. Wang H., Ji Z., Qu S., Wang G., Jiang Y., Liu B., et al. Influence of excitation power and temperature on photoluminescence in InGaN GaN multiple quantum wells. Opt. Express. 2012; 20: 3932. pmid:22418149
- 48. Seo T. H., Lee G. H., Park A. H., Cho H., Kim J.-H., Chandramohan S., et al. Boron nitride nanotubes as a heat sinking and stress-relaxation layer for high performance light-emitting diodes. Nanoscale. 2017; 9: 16223. pmid:29043367
- 49. Kim H. K., Kim H. Y., Ryu J. H., Kang J. H., Han N., Uthirakumar P., et al. Impact of two-floor air prism arrays as an embedded reflector for enhancing the output power of InGaN GaN light emitting diodes. Appl. Phys. Lett. 2009; 95: 221110.