Transport in a Dissipative Luttinger Liquid

Abstract

We study theoretically the transport through a single impurity in a one-channel Luttinger liquid coupled to a dissipative (ohmic) bath . For non-zero dissipation $\eta$ the weak link is always a relevant perturbation which suppresses transport strongly. At zero temperature the current voltage relation of the link is $I\sim \exp (-E_0/eV)$ where $E_0\sim \eta /\kappa$ and $\kappa$ denotes the compressibility. At non-zero temperature $T$ the linear conductance is proportional to $\exp (-\sqrt{\mathcal{C}{E}_0/k_{B}T})$. The decay of Friedel oscillation saturates for distance larger than $L_{\eta }\sim 1/\eta$ from the impurity.

4 pages

Cited by in corpus (1)

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