Subdiffusive and superdiffusive quantum transport and generalized duality.

Sassetti, Maura and Schomerus, Henning and Weiss, Ulrich (1996) Subdiffusive and superdiffusive quantum transport and generalized duality. Physical review B, 53. R2914. ISSN 1550-235X

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Abstract

As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or phase representation and the discrete momentum or charge representation for general frequency-dependent damping. Sub-Ohmic friction is mapped on super-Ohmic friction, and vice versa. The mapping is exact for arbitrary barrier height and valid at any temperature. Thus all features of the continuous model can be investigated from analytical or numerical analysis of the discrete model. Nonperturbative results for the frequency-dependent linear mobility including subdiffusive and superdiffusive behaviors are reported.

Item Type: Journal Article
Journal or Publication Title: Physical review B
Departments: Faculty of Science and Technology > Physics
ID Code: 716
Deposited By: Dr Henning Schomerus
Deposited On: 31 Oct 2007
Refereed?: Yes
Published?: Published
Last Modified: 24 Aug 2019 00:46
URI: https://eprints.lancs.ac.uk/id/eprint/716

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