Application of a quantum wave impedance approach for a quantum capacitance calculation

TL;DR

This paper introduces a quantum wave impedance method to calculate quantum capacitance in complex 2D electron gas potential wells, demonstrating its application on various well geometries with numerical results at zero temperature.

Contribution

A novel quantum wave impedance approach for calculating quantum capacitance in complex potential wells of 2DEG systems.

Findings

Quantum capacitance varies with well parameters.

Method applied successfully to multiple well geometries.

Numerical results provided at zero temperature.

Abstract

A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance technique was proposed. The application of this method was illustated on four different forms of potential wells: infinite and finit rectangular well, a finit rectangular double well and a parabolic double well. It was shown how a quantum capacitance of these wells depends on its parametres. Numerical calculations of a quantum capacitance for mentioned potential wells were made at temperature $T=0$ and the results were presented graphically.