Signatures of quantum chaos in the nodal points and streamlines in electron transport through billiards |
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Authors: | K -F Berggren K N Pichugin A F Sadreev A Starikov |
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Institution: | 1. Department of Physics and Measurement Technology, Link?ping University, S-581 83, Link?ping, Sweden 2. Kirensky Institute of Physics, 660036, Krasnoyarsk, Russia 3. Institute of Physics, Academy of Sciences, 16000, Prague, Czech Republic
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Abstract: | Streamlines and the distributions of nodal points are used as signatures of chaos in coherent electron transport through three
types of billiards: Sinai, Bunimovich, and rectangular. Numerical averaged distribution functions of the nearest distances
between nodal points are presented. We find the same form for the Sinai and Bunimovich billiards and suggest that there is
a universal form that can be used as a signature of quantum chaos for electron transport in open billiards. The universal
distribution function is found to be insensitive to the way the averaging is performed (over the positions of the leads, over
an energy interval with a few conductance fluctuations, or both). The integrable rectangu-lar billiard, on the other hand,
displays a nonuniversal distribution with a central peak related to partial order of nodal points for the case of symmetric
attachment of the leads. However, cases with asymmetric leads tend to the universal form. Also, it is shown how nodal points
in the rectangular billiard can lead to “channeling of quantum flows,” while disorder in the nodal points in the Sinai billiard
gives rise to unstable irregular behavior of the flow.
Pis’ma Zh. éksp. Teor. Fiz. 70, No. 6, 398–404 (25 September 1999)
Published in English in the original Russian journal. Edited by Steve Torstveit. |
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