Thermalization of nonequilibrium electrons in quantum wires

Abstract

We study the problem of energy relaxation in a one-dimensional electron system. The leading thermalization mechanism is due to three-particle collisions. We show that for the case of spinless electrons in a single channel quantum wire the corresponding collision integral can be transformed into an exactly solvable problem. The latter is known as the Schrodinger equation for a quantum particle moving in a Poschl-Teller potential. The spectrum for the resulting eigenvalue problem allows for bound-state solutions, which can be identified with the zero modes of the collision integral, and a continuum of propagating modes, which are separated by a gap from the bound states. The inverse gap gives the time scale at which counterpropagating electrons thermalize.

4+ pages, 1 figure

References in corpus (15)

• Non-Equilibrium Edge Channel Spectroscopy in the Integer Quantum Hall Regime
• Tuning Energy Relaxation along Quantum Hall Channels
• Bosonization of one dimensional fermions out of equilibrium
• Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels
• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
• Energy relaxation and thermalization of hot electrons in quantum wires
• Interaction induced edge channel equilibration
• Transport properties of partially equilibrated quantum wires
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Tunneling into Nonequilibrium Luttinger Liquid with Impurity
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Interaction-induced corrections to conductance and thermopower in quantum wires
• Nonequilibrium kinetics of a disordered Luttinger liquid
• Electron-Plasmon scattering in chiral 1D systems with nonlinear dispersion

Cited by in corpus (30)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
• Coulomb drag between ballistic quantum wires
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Diffractive scattering of three particles in one dimension: a simple result for weak violations of the Yang--Baxter equation
• Dissipationless kinetics of one dimensional interacting fermions
• Decay of Bogoliubov excitations in one-dimensional Bose gases
• Relaxation of weakly interacting electrons in one dimension
• Energy Partitioning of Tunneling Currents into Luttinger Liquids
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Spatial Dependence of Electron Interactions in Carbon Nanotubes
• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
• Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
• Thermal transport and quench relaxation in nonlinear Luttinger liquids
• Relaxation and edge reconstruction in integer quantum Hall systems
• Equilibration in a chiral Luttinger liquid
• Entropy production in one-dimensional quantum fluids
• Phase-space quantum profile of Pöschl-Teller two-level systems
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
• Nonequilibrium Spectroscopy of Topological Edge Liquids
• Kinetic processes in Fermi-Luttinger liquids
• Long lifetimes of ultra-hot particles in interacting Fermi systems
• Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction
• One-dimensional interacting electrons beyond the Dzyaloshinskii-Larkin theorem
• Decay of the Kohn mode in hydrodynamic regime
• Brownian scattering of a spinon in a Luttinger liquid
• Anomalous Landau damping and algebraic thermalization in two-dimensional superfluids far from equilibrium
• Thermalization of dipole oscillations in confined systems by rare collisions
• Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension