This article is cited in 1 paper

Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities

Karl-Fredrik Berggren, Iryna I. Yakimenko

Division of Theory and Modeling, IFM, Linköping University, Linköping, Sweden

Abstract: A basic model for particle states and current flow in open quantum dots/billiards are investigated. The model is unconventional and extends the use of complex potentials first introduced in phenomenological nuclear inelastic scattering theory (the optical model). Attached leads/source drain are represented by complex potentials. Probability densities and currents flows for open 2D quantum dots/billiards are calculated and the results are compared with microwave measurements used to emulate the dot. We also apply the model to a rectangular enclosure and report on helical flows guided by nodal lines and disc-like accumulations of flow lines. The model is of conceptual as well as practical and educational interest.

Keywords: nano-scale systems, quantum dots, microwave billiards, quantum transport, vortices, helical motion, streamlines.

UDC: 538.935

Received: 10.02.2010
Received in revised form: 10.04.2010
Accepted: 20.06.2010

Language: English