Transport in a Dissipative Luttinger Liquid

Details Transport in a Dissipative Luttinger Liquid Transport in a Dissipative Luttinger Liquid

2008-03-20

arxiv.org/abs/0803.2971v1

Phys. Rev. Lett. 101, 016405 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.101.016405

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 $\exp(-\sqrt{{\cal C}E_0/k_BT})$. The decay of Friedel oscillation saturates for distance larger than $L_{\eta}\sim 1/\eta $ from the impurity.

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