Basic Modeling of Openness, Quantum States and Transport in Two- and Three-Dimensional Ballistic Cavities

• 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 recangular 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.

Nyckelord

nano-scale systems

quantum dots

microwave billiards

quantum transport

vortices

helical motion

streamlines

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