Quantum Brownian Motion in a Periodic Potential and the Multi Channel Kondo Problem

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dc.creatorYi, Hangmo
dc.creatorKane, C. L.
dc.date1996-02-19
dc.date1996-02-20
dc.date.accessioned2026-07-07T09:02:25Z
dc.date.available2026-07-07T09:02:25Z
dc.descriptionWe study the motion of a particle in a periodic potential with Ohmic dissipation. In $D=1$ dimension it is well known that there are two phases depending on the dissipation: a localized phase with zero temperature mobility $μ=0$ and a fully coherent phase with $μ$ unaffected by the periodic potential. For $D>1$, we find that this is also the case for a Bravais lattice. However, for non symmorphic lattices, such as the honeycomb lattice and its $D$ dimensional generalization, there is a new intermediate phase with a universal mobility $μ^*$. We study this intermediate fixed point in perturbatively accessible regimes. In addition, we relate this model to the Toulouse limit of the $D+1$ channel Kondo problem. This mapping allows us to compute $μ^*$ exactly using results known from conformal field theory. Experimental implications are discussed for resonant tunneling in strongly coupled Coulomb blockade structures and for multi channel Luttinger liquids.
dc.description4 pages REVTeX, 3 postscript figures (uuencoded and compressed). A numerical error in the on resonance conductance of the Coulomb blockade structure has been corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/9602099
dc.identifierhttp://arxiv.org/abs/cond-mat/9602099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148624
dc.subjectCondensed Matter
dc.titleQuantum Brownian Motion in a Periodic Potential and the Multi Channel Kondo Problem
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