Stochastic simulation of electron transport in a strong electrical field in low-dimensional heterostructures

Kablukova Evgeniya (), Sabelfeld Karl K. (), Protasov Dmitry () and Zhuravlev Konstantin ()
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Kablukova Evgeniya: Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk, Russia
Sabelfeld Karl K.: Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of Russian Academy of Sciences, Lavrentiev Prosp. 6, 630090 Novosibirsk; and Novosibirsk State University, Pirogova 2, 630090 Novosibirsk, Russia
Protasov Dmitry: Rzhanov Institute of Semiconductor Physics, Siberian Branch of Russian Academy of Sciences, Lavrentiev Prosp. 13, and Novosibirsk State Technical University, K. Marx av. 20, 630073 Novosibirsk, Russia
Zhuravlev Konstantin: Rzhanov Institute of Semiconductor Physics, Siberian Branch of Russian Academy of Sciences, Lavrentiev Prosp. 13, 630090 Novosibirsk, Russia

Monte Carlo Methods and Applications, 2023, vol. 29, issue 4, 307-322

Abstract: In this paper we develop a stochastic simulation algorithm for electron transport in a DA-pHEMT heterostructure. Mathematical formulation of the problem of electron gas transport in the heterostructure in the form of a coupled system of Poisson, Schrödinger and kinetic Boltzmann equations is given. A Monte Carlo model of electron transport in DA-pHEMT heterostructures which accounts for multivalley parabolic band structure, as well as relevant formulas for calculating electron scattering rates and scattering phase functions on polar optical, intervalley phonons and on impurities are developed. The results of a computational experiment involving the solution of the system of Poisson–Schrödinger–Boltzmann equations for the AlGaAs/GaAs/InGaAs/GaAs/AlGaAs heterostructure are presented. The distribution of electrons by energy subband in the main and satellite valleys and the field dependences of the electron drift velocity in each valley are calculated. It was discovered that there is no spatial transfer of electrons into wide-gap AlGaAs layers due to high barriers created by modulated-doped impurities. A comparative analysis of the electron drift velocities in the studied DA-pHEMT heterostructures and in the unstrained layer of the InGaAs is given.

Keywords: DA-pHEMT heterostructures; phonons; quantum well; kinetic Boltzmann equation; Schrödinger equation; valleys; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1515/mcma-2023-2019

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