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

References in corpus (11)

• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Friedel oscillations for interacting fermions in one dimension
• Tunneling between the Edges of Two Lateral Quantum Hall Systems
• Applying voltage sources to a Luttinger liquid with arbitrary transmission
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Variable-range hopping conductivity in the copper-oxygen chains of La_3Sr_3Ca_8Cu_24O_41
• Quantum creep and variable range hopping of one-dimensional interacting electrons

Cited by in corpus (7)

• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Superconductivity and fermionic dissipation in quantum Hall edges
• Strongly correlated dynamics in multichannel quantum RC circuits
• A Luttinger Liquid coupled to Ohmic-class environments
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes
• Effect of impurity pinning on conduction and specific heat in the Luttinger liquid
• Transport in a Luttinger liquid with dissipation: two impurities