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Published in: Journal of Computational Electronics 4/2018

30-07-2018

Million-atom tight-binding modeling of non-polar a-plane InGaN light emitters

Authors: Md Rezaul Karim Nishat, Mayada M. Taher, Shaikh S. Ahmed

Published in: Journal of Computational Electronics | Issue 4/2018

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Abstract

This paper mainly concerns with the numerical implementation as well as validation of wurtzite non-polar a-plane crystal structure within the open-source multimillion-atom NEMO 3-D quantum simulator. While constructing the 10-band sp3s*-spin tight-binding Hamiltonian, the connectivity matrix is mapped from the atom positions, neighbor information, bonding length and chemical bonding information using the VESTA toolkit. For the non-polar a-plane structure, piezoelectric potential has been calculated and incorporated via an angular rotation of the polar c-plane strain tensors. Many-body excitonic states, when needed, have been calculated using a full configuration interaction (FCI) method. The augmented platform has been benchmarked against an experimentally reported nitride multiple quantum well (MQW) LED. To further validate the applicability, detailed analysis has been presented comparing the performance (in terms of optical bandgap, transition rate and internal quantum efficiency) of c-plane-, m-plane- and the a-plane-based InGaN disk-in-wire LED structures.

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Literature
1.
go back to reference Nishat, M.R.K., Alqahtani, S.M., Chimalgi, V.U., Kharche, N., Ahmed, S.S.: Atomistic modeling of nonpolar m-plane InGaN disk-in-wire light emitters. J. Comput. Electron. 16(3), 814–824 (2017)CrossRef Nishat, M.R.K., Alqahtani, S.M., Chimalgi, V.U., Kharche, N., Ahmed, S.S.: Atomistic modeling of nonpolar m-plane InGaN disk-in-wire light emitters. J. Comput. Electron. 16(3), 814–824 (2017)CrossRef
2.
go back to reference DenBaars, S.P., Feezell, D., Kelchner, K., Pimputkar, S., Pan, C.-C., Yen, C.-C., Tanaka, S., Zhao, Y., Pfaff, N., Farrell, R., Iza, M., Keller, S., Mishra, U., Speck, J.S., Nakamura, S.: Development of gallium-nitride-based light-emitting diodes (LEDs) and laser diodes for energy-efficient lighting and displays. Acta Mater. 61(3), 945–951 (2013)CrossRef DenBaars, S.P., Feezell, D., Kelchner, K., Pimputkar, S., Pan, C.-C., Yen, C.-C., Tanaka, S., Zhao, Y., Pfaff, N., Farrell, R., Iza, M., Keller, S., Mishra, U., Speck, J.S., Nakamura, S.: Development of gallium-nitride-based light-emitting diodes (LEDs) and laser diodes for energy-efficient lighting and displays. Acta Mater. 61(3), 945–951 (2013)CrossRef
3.
go back to reference Křápek, V., Klenovský, P., Šikola, T.: Excitonic fine structure splitting in type-II quantum dots. Phys. Rev. B 92(19), 195430 (2015)CrossRef Křápek, V., Klenovský, P., Šikola, T.: Excitonic fine structure splitting in type-II quantum dots. Phys. Rev. B 92(19), 195430 (2015)CrossRef
4.
go back to reference Griffiths, J.T., Oehler, F., Tang, F., Zhang, S., Fu, W.Y., Zhu, T., Findlay, S.D., Zheng, C., Etheridge, J., Martin, T.L., Bagot, P.A.J., Moody, M.P., Sutherland, D., Dawson, P., Kappers, M.J., Humphreys, C.J., Oliver, R.A.: The microstructure of non-polar a-plane (11 2¯0) InGaN quantum wells. J. Appl. Phys. 119(17), 175703 (2016)CrossRef Griffiths, J.T., Oehler, F., Tang, F., Zhang, S., Fu, W.Y., Zhu, T., Findlay, S.D., Zheng, C., Etheridge, J., Martin, T.L., Bagot, P.A.J., Moody, M.P., Sutherland, D., Dawson, P., Kappers, M.J., Humphreys, C.J., Oliver, R.A.: The microstructure of non-polar a-plane (11 2¯0) InGaN quantum wells. J. Appl. Phys. 119(17), 175703 (2016)CrossRef
5.
go back to reference Keun Man, S., Jong-Min, K., Chan-Soo, S., Sung-Min, H., Dae-Ho, Y.: Growth and characterization of a -plane InGaN/GaN multiple quantum well LEDs grown on r -plane sapphire. Semicond. Sci. Technol. 27(1), 015011 (2012)CrossRef Keun Man, S., Jong-Min, K., Chan-Soo, S., Sung-Min, H., Dae-Ho, Y.: Growth and characterization of a -plane InGaN/GaN multiple quantum well LEDs grown on r -plane sapphire. Semicond. Sci. Technol. 27(1), 015011 (2012)CrossRef
6.
go back to reference Klimeck, G., Ahmed, S.S., Bae, H., Kharche, N., Clark, S., Haley, B., Lee, S., Naumov, M., Ryu, H., Saied, F., Prada, M., Korkusinski, M., Boykin, T.B.: Atomistic simulation of realistically sized nanodevices using NEMO 3-D part I: models and benchmarks. IEEE Trans. Electron Devices 54(9), 2079–2089 (2007)CrossRef Klimeck, G., Ahmed, S.S., Bae, H., Kharche, N., Clark, S., Haley, B., Lee, S., Naumov, M., Ryu, H., Saied, F., Prada, M., Korkusinski, M., Boykin, T.B.: Atomistic simulation of realistically sized nanodevices using NEMO 3-D part I: models and benchmarks. IEEE Trans. Electron Devices 54(9), 2079–2089 (2007)CrossRef
7.
go back to reference Klimeck, G., Ahmed, S.S., Kharche, N., Korkusinski, M., Usman, M., Prada, M., Boykin, T.B.: Atomistic simulation of realistically sized nanodevices using NEMO 3-D part II: applications. IEEE Trans. Electron Devices 54(9), 2090–2099 (2007)CrossRef Klimeck, G., Ahmed, S.S., Kharche, N., Korkusinski, M., Usman, M., Prada, M., Boykin, T.B.: Atomistic simulation of realistically sized nanodevices using NEMO 3-D part II: applications. IEEE Trans. Electron Devices 54(9), 2090–2099 (2007)CrossRef
8.
go back to reference Boykin, T.B., Klimeck, G., Bowen, R.C., Oyafuso, F.: Diagonal parameter shifts due to nearest-neighbor displacements in empirical tight-binding theory. Phys. Rev. B 66(12), 125207 (2002)CrossRef Boykin, T.B., Klimeck, G., Bowen, R.C., Oyafuso, F.: Diagonal parameter shifts due to nearest-neighbor displacements in empirical tight-binding theory. Phys. Rev. B 66(12), 125207 (2002)CrossRef
9.
go back to reference Ahmed, S., Kharche, N., Rahman, R., Usman, M., Lee, S., Ryu, H., Bae, H., Clark, S., Haley, B., Naumov, M., Saied, F., Korkusinski, M., Kennel, R., McLennan, M., Boykin, T.B., Klimeck, G.: Multimillion atom simulations with nemo 3D. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and Systems Science, pp. 5745–5783. Springer, New York (2009)CrossRef Ahmed, S., Kharche, N., Rahman, R., Usman, M., Lee, S., Ryu, H., Bae, H., Clark, S., Haley, B., Naumov, M., Saied, F., Korkusinski, M., Kennel, R., McLennan, M., Boykin, T.B., Klimeck, G.: Multimillion atom simulations with nemo 3D. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and Systems Science, pp. 5745–5783. Springer, New York (2009)CrossRef
10.
go back to reference Ahmed, S., Islam, S., Mohammed, S.: Electronic structure of InN/GaN quantum dots: multimillion-atom tight-binding simulations. IEEE Trans. Electron Devices 57(1), 164–173 (2010)CrossRef Ahmed, S., Islam, S., Mohammed, S.: Electronic structure of InN/GaN quantum dots: multimillion-atom tight-binding simulations. IEEE Trans. Electron Devices 57(1), 164–173 (2010)CrossRef
11.
go back to reference Ahmed, S., Sundaresan, S., Ryu, H., Usman, M.: Multimillion-atom modeling of InAs/GaAs quantum dots: interplay of geometry, quantization, atomicity, strain, and linear and quadratic polarization fields. J. Comput. Electron. 14(2), 543–556 (2015)CrossRef Ahmed, S., Sundaresan, S., Ryu, H., Usman, M.: Multimillion-atom modeling of InAs/GaAs quantum dots: interplay of geometry, quantization, atomicity, strain, and linear and quadratic polarization fields. J. Comput. Electron. 14(2), 543–556 (2015)CrossRef
12.
go back to reference Sundaresan, S.S., Gaddipati, V.M., Ahmed, S.S.: Effects of spontaneous and piezoelectric polarization fields on the electronic and optical properties in GaN/AlN quantum dots: multimillion-atom sp 3 d 5 s * tight-binding simulations. Int. J. Numer. Model. Electron. Netw. Devices Fields 28(3), 321–334 (2015)CrossRef Sundaresan, S.S., Gaddipati, V.M., Ahmed, S.S.: Effects of spontaneous and piezoelectric polarization fields on the electronic and optical properties in GaN/AlN quantum dots: multimillion-atom sp 3 d 5 s * tight-binding simulations. Int. J. Numer. Model. Electron. Netw. Devices Fields 28(3), 321–334 (2015)CrossRef
13.
go back to reference Chimalgi, V.U., Nishat, R., Yalavarthi, K.K., Ahmed, S.: Atomistic simulation of surface passivated wurtzite nanowires: electronic bandstructure and optical emission. Adv. Nano Res. 2(3), 157–172 (2014)CrossRef Chimalgi, V.U., Nishat, R., Yalavarthi, K.K., Ahmed, S.: Atomistic simulation of surface passivated wurtzite nanowires: electronic bandstructure and optical emission. Adv. Nano Res. 2(3), 157–172 (2014)CrossRef
14.
go back to reference Chimalgi, V., Kharche, N., Ahmed, S.: Effects of substrate orientation on opto-electronic properties in self-assembled InAs/GaAs quantum dots. J. Comput. Electron. 13(4), 1026–1032 (2014)CrossRef Chimalgi, V., Kharche, N., Ahmed, S.: Effects of substrate orientation on opto-electronic properties in self-assembled InAs/GaAs quantum dots. J. Comput. Electron. 13(4), 1026–1032 (2014)CrossRef
15.
go back to reference Chimalgi, V.U., Nishat, M.R.K., Ahmed, S.S.: Nonlinear polarization and efficiency droop in hexagonal InGaN/GaN disk-in-wire LEDs. Superlattices Microstruct. 84, 91–98 (2015)CrossRef Chimalgi, V.U., Nishat, M.R.K., Ahmed, S.S.: Nonlinear polarization and efficiency droop in hexagonal InGaN/GaN disk-in-wire LEDs. Superlattices Microstruct. 84, 91–98 (2015)CrossRef
18.
go back to reference Romanov, A.E., Baker, T.J., Nakamura, S., Speck, J.S., Group, E.J.U.: Strain-induced polarization in wurtzite III-nitride semipolar layers. J. Appl. Phys. 100(2), 023522 (2006)CrossRef Romanov, A.E., Baker, T.J., Nakamura, S., Speck, J.S., Group, E.J.U.: Strain-induced polarization in wurtzite III-nitride semipolar layers. J. Appl. Phys. 100(2), 023522 (2006)CrossRef
19.
go back to reference Prodhomme, P.-Y., Beya-Wakata, A., Bester, G.: Nonlinear piezoelectricity in wurtzite semiconductors. Phys. Rev. B 88(12), 121304 (2013)CrossRef Prodhomme, P.-Y., Beya-Wakata, A., Bester, G.: Nonlinear piezoelectricity in wurtzite semiconductors. Phys. Rev. B 88(12), 121304 (2013)CrossRef
20.
go back to reference Yalavarthi, K., Chimalgi, V., Ahmed, S.: How important is nonlinear piezoelectricity in wurtzite GaN/InN/GaN quantum disk-in-nanowire LED structures? Opt. Quant. Electron. 46(7), 925–933 (2014)CrossRef Yalavarthi, K., Chimalgi, V., Ahmed, S.: How important is nonlinear piezoelectricity in wurtzite GaN/InN/GaN quantum disk-in-nanowire LED structures? Opt. Quant. Electron. 46(7), 925–933 (2014)CrossRef
21.
go back to reference Hernández-Cocoletzi, H., Contreras-Solorio, D.A., Arriaga, J.: Tight-binding studies of the electronic band structure of GaAlN and GaInN alloys. Appl. Phys. A 81(5), 1029–1033 (2005)CrossRef Hernández-Cocoletzi, H., Contreras-Solorio, D.A., Arriaga, J.: Tight-binding studies of the electronic band structure of GaAlN and GaInN alloys. Appl. Phys. A 81(5), 1029–1033 (2005)CrossRef
22.
go back to reference Nielsen, E., Rahman, R., Muller, R.P.: A many-electron tight binding method for the analysis of quantum dot systems. J. Appl. Phys. 112(11), 114304 (2012)CrossRef Nielsen, E., Rahman, R., Muller, R.P.: A many-electron tight binding method for the analysis of quantum dot systems. J. Appl. Phys. 112(11), 114304 (2012)CrossRef
23.
go back to reference Szabo, A., Ostlund, N.S.: Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. Dover Publications, Mineola (1996) Szabo, A., Ostlund, N.S.: Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. Dover Publications, Mineola (1996)
24.
go back to reference Boykin, T.B., Vogl, P.: Dielectric response of molecules in empirical tight-binding theory. Phys. Rev. B 65(3), 035202 (2001)CrossRef Boykin, T.B., Vogl, P.: Dielectric response of molecules in empirical tight-binding theory. Phys. Rev. B 65(3), 035202 (2001)CrossRef
25.
go back to reference Graf, M., Vogl, P.: Electromagnetic fields and dielectric response in empirical tight-binding theory. Phys. Rev. B 51(8), 4940–4949 (1995)CrossRef Graf, M., Vogl, P.: Electromagnetic fields and dielectric response in empirical tight-binding theory. Phys. Rev. B 51(8), 4940–4949 (1995)CrossRef
26.
go back to reference Boykin, T.B., Bowen, R.C., Klimeck, G.: Electromagnetic coupling and gauge invariance in the empirical tight-binding method. Phys. Rev. B 63(24), 245314 (2001)CrossRef Boykin, T.B., Bowen, R.C., Klimeck, G.: Electromagnetic coupling and gauge invariance in the empirical tight-binding method. Phys. Rev. B 63(24), 245314 (2001)CrossRef
27.
go back to reference Warburton, R.J., Miller, B.T., Dürr, C.S., Bödefeld, C., Karrai, K., Kotthaus, J.P., Medeiros-Ribeiro, G., Petroff, P.M., Huant, S.: Coulomb interactions in small charge-tunable quantum dots: a simple model. Phys. Rev. B 58(24), 16221–16231 (1998)CrossRef Warburton, R.J., Miller, B.T., Dürr, C.S., Bödefeld, C., Karrai, K., Kotthaus, J.P., Medeiros-Ribeiro, G., Petroff, P.M., Huant, S.: Coulomb interactions in small charge-tunable quantum dots: a simple model. Phys. Rev. B 58(24), 16221–16231 (1998)CrossRef
28.
go back to reference Lee, S., Jönsson, L., Wilkins, J.W., Bryant, G.W., Klimeck, G.: Electron–hole correlations in semiconductor quantum dots with tight-binding wave functions. Phys. Rev. B 63(19), 195318 (2001)CrossRef Lee, S., Jönsson, L., Wilkins, J.W., Bryant, G.W., Klimeck, G.: Electron–hole correlations in semiconductor quantum dots with tight-binding wave functions. Phys. Rev. B 63(19), 195318 (2001)CrossRef
30.
go back to reference Tessarek, C., Figge, S., Gust, A., Heilmann, M., Dieker, C., Spiecker, E., Christiansen, S.: Optical properties of vertical, tilted and in-plane GaN nanowires on different crystallographic orientations of sapphire. J. Phys. D Appl. Phys. 47(39), 394008 (2014)CrossRef Tessarek, C., Figge, S., Gust, A., Heilmann, M., Dieker, C., Spiecker, E., Christiansen, S.: Optical properties of vertical, tilted and in-plane GaN nanowires on different crystallographic orientations of sapphire. J. Phys. D Appl. Phys. 47(39), 394008 (2014)CrossRef
Metadata
Title
Million-atom tight-binding modeling of non-polar a-plane InGaN light emitters
Authors
Md Rezaul Karim Nishat
Mayada M. Taher
Shaikh S. Ahmed
Publication date
30-07-2018
Publisher
Springer US
Published in
Journal of Computational Electronics / Issue 4/2018
Print ISSN: 1569-8025
Electronic ISSN: 1572-8137
DOI
https://doi.org/10.1007/s10825-018-1221-x

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