Transport in partially equilibrated inhomogeneous quantum wires
arXiv:1005.0009 · doi:10.1103/PhysRevB.82.115413
Abstract
We study transport properties of weakly interacting one-dimensional electron systems including on an equal footing thermal equilibration due to three-particle collisions and the effects of large-scale inhomogeneities. We show that equilibration in an inhomogeneous quantum wire is characterized by the competition of interaction processes which reduce the electrons total momentum and such which change the number of right- and left-moving electrons. We find that the combined effect of interactions and inhomogeneities can dramatically increase the resistance of the wire. In addition, we find that the interactions strongly affect the thermoelectric properties of inhomogeneous wires and calculate their thermal conductance, thermopower, and Peltier coefficient.
15 pages, 3 figures
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- Hydrodynamic electron transport near charge neutrality
- Coulomb drag between ballistic quantum wires
- Electrical and Thermal Transport in Inhomogeneous Luttinger 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
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Peltier effect in strongly driven quantum wires
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Giant magnetoresistance in weakly disordered non-Galilean invariant conductors
- Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
- Kinetic processes in Fermi-Luttinger liquids
- Electron-Electron scattering and resistivity of ballistic multimode channels
- Electronic pumping of heat without charge transfer
- Decay of the Kohn mode in hydrodynamic regime
- Spin drag mechanism of giant thermal magnetoresistance
- Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
- Viscous dissipation in a gas of one-dimensional fermions with generic dispersion