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


This tutorial is under construction


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 shows the calculated conduction band edge of the device.


Figure 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.