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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 3, Pages 280–288
(Mi jsfu127)
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This article is cited in 1 scientific paper (total 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.
Received: 10.02.2010 Received in revised form: 10.04.2010 Accepted: 20.06.2010
Citation:
Karl-Fredrik Berggren, Iryna I. Yakimenko, “Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 280–288
Linking options:
https://www.mathnet.ru/eng/jsfu127 https://www.mathnet.ru/eng/jsfu/v3/i3/p280
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Abstract page: | 304 | Full-text PDF : | 69 | References: | 33 |
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