Nanotech 2002 Vol. 2
Nanotech 2002 Vol. 2
Technical Proceedings of the 2002 International Conference on Computational Nanoscience and Nanotechnology

Quantum Effects, Quantum Devices and Spintronics Chapter 9

Self-consistent Modeling of Open Quantum Devices

Authors: R. Akis, L. Shifren and D.K. Ferry

Affilation: Arizona State University, United States

Pages: 185 - 188

Keywords: quantum transport, heterostructures, numerical methods, finite difference

Abstract:
In this paper, we describe a method of simulating electron transport in semiconductor devices that operate in the quantum regime. Specifically, devices formed in which the electrons are confined to two dimensions (2D) and transport is ballistic. Modeling such structures using a finite difference approach, we describe how the conductance can be calculated using a numerically stabilized variant of the transfer matrix approach derived from the 2D Schrödinger equation. Examining the example of a quantum point contact, we also describe how this method can be efficiently coupled to a Poisson solver to allow self-consistency to be achieved.

Self-consistent Modeling of Open Quantum Devices

ISBN: 0-9708275-6-3
Pages: 504