Abstract
Strain properties of BInGaN layers assumed to be grown on GaN, AlN and ZnO substrates in nonpolar and semipolar directions have been calculated. The strain components in the laboratory system have been presented as a function of boron and indium contents of the layer for each substrate. We have found that the in-plane strain components go up to \(\approx \) 7, 10, and \(6\%\) in magnitude in the cases of GaN, AlN, and ZnO substrates, respectively. The piezeolectric properties of the BInGaN layers assumed to be grown in semipolar direction have been computed, and the outcomes for selected values of the boron content have been plotted against the indium content. Finally, the built-in electric field values inside the well layers of BInGaN/GaN and BInGaN/AlN quantum wells, considered to be grown in the semipolar direction, have been figured out. According to the results, the field in both types of the quantum wells reaches the values as high as \(\approx \) 10 MVcm\(^{-1}\) in magnitude.
Graphical abstract
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Figa_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1140%2Fepjp%2Fs13360-022-02925-y/MediaObjects/13360_2022_2925_Fig7_HTML.png)
Similar content being viewed by others
Availability of data and material
Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.
References
K. Greenman, L. Williams, E. Kioupakis, Lattice-constant and band-gap tuning in wurtzite and zincblende BInGaN alloys. J. Appl. Phys. 126, 055702 (2019). https://doi.org/10.1063/1.5108731
L. Williams, E. Kioupakis, BInGaN alloys nearly lattice-matched to gan for high-power high-efficiency visible leds. J. Appl. Phys. 111, 211107 (2017). https://doi.org/10.1063/1.4997601
F. Bernardini, Spontaneous and piezoelectric polarization: basic theory vs. practical recipes. In: Piprek, J. (ed.) Nitride Semiconductor Devices: Principles and Simulation, pp. 49–68. Wiley, The Federal Republic of Germany (2007)
R. Kudrawiec, D. Hommel, Bandgap engineering in iii-nitrides with boron and group v elements: toward applications in ultraviolet emitters. Appl. Phys. Rev. (2020). https://doi.org/10.1063/5.0025371
C.E. Dreyer, A. Janotti, C.G.V. de Walle, D. Vanderbilt, Correct implementation of polarization constants in wurtzite materials and impact on iii-nitrides. Phys. Rev. X 61, 021038 (2016). https://doi.org/10.1103/PhysRevX.6.021038
J.-M. Chauveau, M. Laügt, P. Venneguès, M. Teisseire, B. Lo, C. Deparis, C. Morhain, B. Vinter, Non-polar a-plane znmgo/zno quantum wells grown by molecular beam epitaxy. Semicond. Sci. Technol. 23, 035005 (2008). https://doi.org/10.1088/0268-1242/23/3/035005
H.R. Chen, C.Y. Tsai, Y.C. Huang, C.C. Kuo, H.C. Hsu, W.F. Hsieh, Optical properties of one- and two-dimensional excitons in m-plane zno/mgzno multiple quantum wells. J. Phys. D Appl. Phys. (2016). https://doi.org/10.1088/0022-3727/49/9/095105
M. Monavarian, A. Rashidi, D. Feezell, A decade of nonpolar and semipolar iii-nitrides: a review of successes and challenges. Phys. Status Solidi A 216, 1800628 (2019). https://doi.org/10.1002/pssa.201800628
M. Grundmann, A most general and facile recipe for the calculation of heteroepitaxial strain. Phys. Status Solidi B 257, 2000323 (2020). https://doi.org/10.1002/pssb.202000323
M. Grundmann, Elastic theory of pseudomorphic monoclinic and rhombohedral heterostructures. J. Appl. Phys. 124, 185302 (2018). https://doi.org/10.1063/1.5045845
S. Schulz, M.A. Caro, E.P. O’Reilly, O. Marquardt, Symmetry-adapted calculations of strain and polarization fields in (111)-oriented zinc-blende quantum dots. Phys. Rev. B 84, 125312 (2011). https://doi.org/10.1103/PhysRevB.84.125312
I. Vurgaftman, J.R. Meyer, Band parameters for nitrogen-containing semiconductors. J. Appl. Phys. 94, 3675–3696 (2003). https://doi.org/10.1063/1.1600519
P. Harrison, A. Valavanis, Quantum Wells, Wires and Dots, 4th edn. Wiley, Malaysia (2016). Chap. 7
K. Shimada, T. Sota, K. Suzuki, First-principles study on electronic and elastic properties of bn, aln, and gan. J. Appl. Phys. 84, 4951–4958 (1998). https://doi.org/10.1063/1.368739
Ü. Özgür, Y.I. Alivov, C. Liu, A. Teke, M.A. Reshchikov, S. Doğan, V. Avrutin, S.-J. Cho, H. Morkoç, A comprehensive review of zno materials and devices. J. Appl. Phys. 98, 041301 (2005). https://doi.org/10.1063/1.1992666
S. Adachi, Properties of Group-IV, III-V and II-VI Semiconductors, 1st edn. Wiley, Great Britain (2005). Chap. 10
S. Gautier, G. Orsal, T. Moudakir, N. Maloufi, F. Jomard, M. Alnot, Z. Djebbour, A.A. Sirenko, M. Abid, K. Pantzas, I.T. Ferguson, P.L. Voss, A. Ougazzaden, Metal-organic vapour phase epitaxy of BInGaN quaternary alloys and characterization of boron content. J. Cryst. Growth 312, 641–644 (2010). https://doi.org/10.1016/j.jcrysgro.2009.11.040
S.-H. Park, D. Ahn, Theoretical studies on light emission characteristics of high-efficiency BInGaN/GaN quantum well structures with blue spectral range. Superlattices Microstruct. 96, 150–154 (2016). https://doi.org/10.1016/j.spmi.2016.05.024
S.-H. Park, W.-P. Hong, J.-J. Kim, Comparison of optical properties of polarization-matched c-plane and lattice-matched a-plane BInGaN/GaN quantum well structures. Physica B Condens. Matter 570, 94–99 (2019). https://doi.org/10.1016/j.physb.2019.06.014
G. Chen, X.Q. Wang, X. Rong, P. Wang, F.J. Xu, N. Tang, Z.X. Qin, Y.H. Chen, B. Shen, Intersubband transition in gan/ingan multiple quantum wells. Sci. Rep. 5, 11485 (2015). https://doi.org/10.1038/srep11485
D. Feezell, Y. Sharma, S. Krishna, Optical properties of nonpolar iii-nitrides for intersubband photodetectors. J. Appl. Phys. 113, 133103 (2013). https://doi.org/10.1063/1.4798353
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The author declares that he has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. The author did not receive support from any organization for the submitted work.
Code availability
The codes used in this publication are available online (see references) or through direct contact.
Rights and permissions
About this article
Cite this article
Yıldırım, H. Strain in BInGaN thin layers grown in nonpolar and semipolar directions. Eur. Phys. J. Plus 137, 702 (2022). https://doi.org/10.1140/epjp/s13360-022-02925-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-02925-y