1996/02/19 by Yi, Hangmo, Kane, C. L. · 5 citations
#Condensed Matter (cond-mat) #FOS: Physical sciences
paper · doi:10.48550/arxiv.cond-mat/9602099
We 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.