Dynamics of a heavy particle in a Luttinger liquid

Details Dynamics of a heavy particle in a Luttinger liquid Dynamics of a heavy particle in a Luttinger liquid

1995-10-17

arxiv.org/abs/cond-mat/9510094v1

Physics

Condensed Matter

6 pages, RevteX, UCR

Scientific paper

10.1103/PhysRevB.53.9713

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy particle, we map the model onto a generalized ``quantum impurity problem". A renormalization group calculation reveals a crossover from strong to weak coupling upon scaling down in temperature. Above the crossover temperature scale $T^*=(m/M) E_F$, the particle's mobility, $\mu$, is found to be (roughly) temperature independent and proportional to the dimensionless conductance, $g$, characterizing the 1d Luttinger liquid. Here $m$($<

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