Transport properties of partially equilibrated quantum wires
arXiv:0910.3389 · doi:10.1103/PhysRevB.81.115313
Abstract
We study the effect of thermal equilibration on the transport properties of a weakly interacting one-dimensional electron system. Although equilibration is severely suppressed due to phase-space restrictions and conservation laws, it can lead to intriguing signatures in partially equilibrated quantum wires. We consider an ideal homogeneous quantum wire. We find a finite temperature correction to the quantized conductance, which for a short wire scales with its length, but saturates to a length-independent value once the wire becomes exponentially long. We also discuss thermoelectric properties of long quantum wires. We show that the uniform quantum wire is a perfect thermoelectric refrigerator, approaching Carnot efficiency with increasing wire length.
20 pages, 6 figures
References in corpus (9)
- Magnetic impurity formation in quantum point contacts
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Electron-electron interaction effects in quantum point contacts
- Resistivity of inhomogeneous quantum wires
- Conductance of fully equilibrated quantum wires
- Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
- Relaxation processes in a disordered Luttinger liquid
- Electronic transport in inhomogeneous quantum wires
- Electron-electron interaction effects in quantum point contacts
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- Thermalization of nonequilibrium electrons in quantum wires
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- Equilibration of a one-dimensional Wigner crystal
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- Relaxation in Luttinger liquids: Bose-Fermi duality
- Transport in partially equilibrated inhomogeneous quantum wires
- Energy Partitioning of Tunneling Currents into Luttinger Liquids
- Equilibration of Luttinger liquid and conductance of quantum wires
- Fundamental limits to helical edge conductivity due to spin-phonon scattering
- Viscous Dissipation in One-Dimensional Quantum Liquids
- Interaction effects on thermal transport in quantum wires
- Interaction-induced corrections to conductance and thermopower in quantum wires
- Thermal Transport in One Dimensional Electronic Fluid
- Statistical theory of relaxation of high energy electrons in quantum Hall edge states
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
- Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
- Interaction-induced backscattering in short quantum wires
- Second sound in systems of one-dimensional fermions
- The thermoelectric working fluid: thermodynamics and transport
- Equilibration of a one-dimensional quantum liquid
- Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
- Fundamental aspects of steady state heat to work conversion
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Entropy production in one-dimensional quantum fluids
- Non-equilibrium scalar field dynamics starting from Fock states: Absence of thermalization in one dimensional phonons coupled to fermions
- Propagation and attenuation of sound in one-dimensional quantum liquids
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Spin-orbit coupling and resonances in the conductance of quantum wires
- Viscous Properties of a Degenerate One-Dimensional Fermi Gas
- Equilibration of Quasi-One-Dimensional Fermi Gases
- Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
- Ultranarrow resonance in Coulomb drag between quantum wires at coinciding densities
- Long lifetimes of ultra-hot particles in interacting Fermi systems
- Electron-Electron scattering and resistivity of ballistic multimode channels
- Rate of equilibration of a one-dimensional Wigner crystal
- Kinetic processes in Fermi-Luttinger liquids
- Collision-dominated conductance in clean 2D metals
- Sound in a system of chiral one-dimensional fermions
- Brownian scattering of a spinon in a Luttinger liquid
- Viscous dissipation in a gas of one-dimensional fermions with generic dispersion