Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
- Authors
- Berggren, Karl-Fredrik; Yakimenko, Iryna I.
- Contact information
- Berggren, Karl-Fredrik : Division of Theory and Modeling, IFM, Link¨oping University , SE-58183 Link¨oping, Sweden , e-mail: ; Yakimenko, Iryna I. : Division of Theory and Modeling, IFM, Link¨oping University , SE-58183 Link¨oping, Sweden
- Keywords
- nano-scale systems; quantum dots; microwave billiards; quantum transport; vortices; helical motion; streamlines
- 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
- Pages
- 280-288
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1733
Journal of Siberian Federal University. Mathematics & Physics / Basic Modeling of Openness, Quantum States and Transport in Two- and Three-Dimensional Ballistic Cavities
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