Self-Consistent Calculation of Potential Profile of GaN/AlN Resonace Tunnelling Structures

I.V. Boyko; M.V. Tkach; Ju.O. Seti

doi:10.15330/pcss.18.3.288-296

Authors

I.V. Boyko Ternopil Ivan Pul’uj National Technical University
M.V. Tkach Chernivtsi National University
Ju.O. Seti Chernivtsi National University

DOI:

https://doi.org/10.15330/pcss.18.3.288-296

Keywords:

quantum cascade detector, resonance tunnel structure, piezoelectric polarization, spontaneous polarization, potential profile

Abstract

For resonant tunneling structure with GaN – potential wells and AlN – potential barriers, calculation of internal fields caused by piezoelectric and spontaneous polarization was carried.
In the model the effective mass of an electron and a dielectric continuum model using finite difference method self-consistent solutions of the Schrödinger and Poisson system of equations taking into account the contribution of piezoelectric and spontaneous polarizations was found.
Based on the found solutions of the Schrödinger and Poisson system of equations for resonance tunneling structure, which functioned as a cascade experimentally realized a quantum cascade detector, calculation of the potential profile and the electron energy spectrum was carried. It was found, that calculated value of detected energy is different from the experimentally obtained not more than 3 %.

References

D. Hofstetter, F.R. Giorgetta, E. Baumann, Q. Yang, C. Manz, and K. Kohler, Appl. Phys. Lett. 93, 221106 (2008).

A. Harrer, B. Schwarz, R. Gansch, P. Reininger, H. Detz, T. Zederbauer, A. Maxwell Andrews, W. Schrenk, and G. Strasser, Appl. Phys. Lett. 105, 171112 (2014).

P. Reininger, T. Zederbauer, B. Schwarz, H. Detz, D. MacFarland, Appl. Phys. Lett. 107, 081107 (2015).

I.V. Boyko, Ukr. J. Phys. 61(1), 66 (2016).

M.V. Tkach, Ju.O. Seti, I. V. Boyko, and O.M. Voitsekhivska, Condens. Matter Phys. 16, 33701 (2013).

Ju. O. Seti, M. V. Tkach, M. V. Pan'kiv, Condens. J. Phys. Stud. 20(1/2), 1702 (2016).

S. Sakr, E. Giraud, A. Dussaigne, M. Tchernycheva, N. Grandjean, and F. H. Julien, Appl. Phys. Lett. 100, 181103 (2012).

S. Sakr, E. Giraud, M. Tchernycheva, N. Isac, P. Quach, E. Warde, N. Grandjean, and F. H. Julien, Appl. Phys. Lett. 101, 251101 (2012).

S. Sakr, P. Crozat, D. Gacemi, Y. Kotsar, A. Pesach, P. Quach1, N. Isac, M. Tchernycheva, Appl. Phys. Lett. 102, 011135 (2013).

Y. Qu, S. L. Ban, J. Appl. Phys. 110, 013722 (2011).

Z. Gu, S. L. Ban, D. D. Jiang, and Y. Qu, Condens, J. Appl. Phys. 121, 035703 (2017).

B.K. Ridley, W.J. Schaff and L.F. Eastman, J. Appl. Phys. 94, 3972 (2003).

V. Fiorentini, F. Bernardini, O. Ambacher, Appl. Phys. Lett. 80, 1204 (2002).

O Ambacher, J. Majewski, C. Miskys, A Link, M Hermann, M. Eickhoff, M. Stutzmann, F Bernardini, V Fiorentini, V Tilak, J. Phys.: Condens. Matter. 14(13), 3399 (2002).

S. Saha, J. Kumar, J. Comput. Electron. 15(4), 1531 (2016).

A.A. Samarskii, The Theory of Difference Schemes (Marcel Dekker, New York, 2001).