Low-temperature nonequilibrium transport in a Luttinger liquid

Abstract

The temperature-dependent nonlinear conductance for transport of a Luttinger liquid through a barrier is calculated in the nonperturbative regime for $g=1/2-\epsilon$, where $g$ is the dimensionless interaction constant. To describe the low-energy behavior, we perform a leading-log summation of all diagrams contributing to the conductance which is valid for $|\epsilon |<<1$. With increasing external voltage, the asymptotic low-temperature behavior displays a turnover from the $T^{2/g-2}$ to a universal $T^2$ law.

13 pages RevTeX 3.0, accepted by Physical Review B

References in corpus (4)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Resonant Tunneling Between Quantum Hall Edge States

Cited by in corpus (28)

• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Integrable structure of W_3 Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory
• Resonant tunnelling between Luttinger liquids: solvable case
• On nonequilibrium states in QFT model with boundary interaction
• DC and AC Josephson Effect in a Superconductor-Luttinger Liquid-Superconductor System
• Nonequilibrium transport for crossed Luttinger liquids
• Conductance through a potential barrier embedded in a Luttinger liquid: nonuniversal scaling at strong coupling
• Low-temperature conductance and DC current noise in a quantum wire with impurity
• Out of equilibrium density dynamics of a quenched fermionic system
• Duality between different geometries of a resonant level in a Luttinger liquid
• Scaling and criticality of the Kondo effect in a Luttinger liquid
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Chiral Y-junction of Luttinger liquid wires at strong coupling: fermionic representation
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• Dissipation-induced collective advantage of a quantum thermal machine
• Transport of interacting electrons through a potential barrier: nonperturbative RG approach
• Chiral Y-junction of Luttinger liquid wires at weak coupling: lines of stable fixed points
• Transport properties of a two-lead Luttinger liquid junction out of equilibrium: fermionic representation
• Delta-T noise for fractional quantum Hall states at different filling factor
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Statistics of charge transfer through impurities in strongly correlated 1D metals
• Bound-States Dynamics in One-Dimensional Multi-Species Fermionic Systems
• Nonlinear conductance and noise in boundary sine-Gordon and related models
• Non-linear current through a barrier in 1D wires with finite-range interactions
• Density of states of interacting quantum wires with impurities: a Dyson equation approach
• Transport through asymmetric two-lead junctions of Luttinger liquid wires