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Phys. Rev. E 66, 016211 (2002) [8 pages]

Isolated resonances in conductance fluctuations and hierarchical states

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Arnd Bäcker1,2, Achim Manze3, Bodo Huckestein3, and Roland Ketzmerick4
1School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United KingdomBRIMS, Hewlett-Packard Laboratories, Filton Road, Bristol BS12 6QZ, United Kingdom
2Abteilung Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany
3Institut für Theoretische Physik III, Ruhr-Universität Bochum, D-44780 Bochum, Germany
4Max-Planck-Institut für Strömungsforschung and Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstraße 10, D-37073 Göttingen, Germany

Received 29 January 2002; published 22 July 2002

We study the isolated resonances occurring in conductance fluctuations of quantum systems with a classically mixed phase space. We demonstrate that the isolated resonances and their scattering states can be associated with eigenstates of the closed system. They can all be categorized as hierarchical or regular, depending on where the corresponding eigenstates are concentrated in the classical phase space.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.016211
DOI:
10.1103/PhysRevE.66.016211
PACS:
05.45.Mt, 03.65.Sq, 72.20.Dp
 
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