General Expressions for Ellipsoidal-Valley Quantum Transport in Arbitrary Growth Direction: Non-Equilibrium Green's Function

Abstract

A theoretical method for the calculation of quantum transport in an ellipsoidal valley is presented. This method is developed using a non-equilibrium Green's function framework. Importantly, it is instructive that k(z) is separated into two parts so that the wrong figure shape of the transmission coefficients does not exist. The L-electron effect on AlAs-GaAs-AlAs double barrier structures oriented in the [001], [111], and [110] growth directions is explored using the proposed method. (C) 2011 The Japan Society of Applied Physics