Phys. Rev. Lett. 101, 016405 (2008) [4 pages]Transport in a Dissipative Luttinger LiquidReceived 20 March 2008; published 3 July 2008 We study theoretically the transport through a single impurity in a one-channel Luttinger liquid coupled to a dissipative (Ohmic) bath. For nonzero dissipation, the single impurity is always a relevant perturbation which suppresses transport strongly. At zero temperature, the current voltage relation of the link is I∼exp(-E0/eV), where E0∼η/κ and κ denotes the compressibility. At nonzero temperature T, the linear conductance is proportional to exp(-√CE0/kBT). The decay of Friedel oscillation saturates for a distance larger than Lη∼1/η from the impurity. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.016405
DOI:
10.1103/PhysRevLett.101.016405
PACS:
71.10.Pm, 72.10.Bg, 72.80.Ng, 73.21.Hb
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