Equilibration of Luttinger liquid and conductance of quantum wires
arXiv:1103.3720 · doi:10.1103/PhysRevLett.107.056402
Abstract
Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance is quantized. We show that relaxation processes not captured by the Luttinger liquid theory lead to equilibration of the excitations with the current and give rise to a temperature-dependent correction to the conductance. In long wires, the magnitude of the correction is expressed in terms of the velocities of bosonic excitations. In shorter wires it is controlled by the relaxation rate.
References in corpus (6)
- Dynamic response of one-dimensional interacting fermions
- Wigner crystal physics in quantum wires
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Transport properties of partially equilibrated quantum wires
- Conductance of fully equilibrated quantum wires
- Equilibration of a one-dimensional Wigner crystal
Cited by in corpus (19)
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Quantized Conductance and Switching in Percolating Nanoparticle Films
- Viscous magnetoresistance of correlated electron liquids
- Scattering of hole excitations in a one-dimensional spinless quantum liquid
- Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
- Equilibration of a spinless Luttinger liquid
- Coulomb drag between ballistic quantum wires
- Violation of the Wiedemann-Franz Law for ultracold atomic gases
- Low temperature dynamics of nonlinear Luttinger liquids
- Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
- Spin transport through a spin-1/2 XXZ chain contacted to fermionic leads
- Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
- Interaction-induced backscattering in short quantum wires
- Equilibration of a one-dimensional quantum liquid
- Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Kinetic processes in Fermi-Luttinger liquids
- Brownian scattering of a spinon in a Luttinger liquid
- On the modeling of irreversibility by relaxator Liouville dynamics