Efficient method for the calculation of ballistic quantum transport - The CBR method (2D example)

Attention

This tutorial is under construction

Introduction

In this tutorial, we apply the Contact Block Reduction (CBR) method to a Aharonov-Bohm-type structure with a large barrier in the middle of the device. This tutorial is based on [MamaluyCBR2003] and [BirnerCBR2009]. The input file Transmission_CBR_Mamaluy_JAP_2003_2D_holes_nnp.in simulates holes instead of electrons.

Simulation setup

First, we look into the structure of the device. Figure 2.4.14.19 shows the calculated conduction band edge of the device.

../../../_images/2D_CBR_gaussian_band_edges.png

Figure 2.4.14.19 The calculated conduction band edge. The center of the device \(\left((x, y) = (0, 0)\;\mathrm{(nm)}\right)\) is AlAs and the energy is \(1.0\;\mathrm{(eV)}\). The vicinity of the edges of the device is GaAs and the energy is \(0\;\mathrm{(eV)}\). The double potential barrier is set so that the energy is equivalent to \(0.4\;\mathrm{(eV)}\). Note that the blacked out areas are set up with barriers of infinite height. bias_00000\bandedges.fld

The image below shows the 3-dimenional conduction band edge. Note that the height of the infinite potential barriers are set to \(2.0\;\mathrm{(eV)}\) for convenience.