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
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.
nano-scale systems, quantum dots, microwave billiards, quantum transport, vortices, helical motion, streamlines.
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Received in revised form: 10.04.2010
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
Citation in format AMSBIB
\by Karl-Fredrik~Berggren, Iryna~I.~Yakimenko
\paper Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities
\jour J. Sib. Fed. Univ. Math. Phys.
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Wahlstrand B., Yakimenko I.I., Berggren K.-F., “Wave Transport and Statistical Properties of An Open Non-Hermitian Quantum Dot With Parity-Time Symmetry”, Phys. Rev. E, 89:6 (2014), 062910
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