Electronic transport in inhomogeneous quantum wires
arXiv:0803.2049 · doi:10.1088/0953-8984/20/16/164211
Abstract
We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire, due to a weak violation of momentum conservation in the collisions between electrons. Estimating the rate of change of momentum associated with non-momentum-conserving scattering processes, we derive the expression for the resistivity of the wire in the regime of weakly interacting electrons and find a contribution linear in temperature for a broad range of temperatures below the Fermi energy. By estimating the energy dissipated throughout the wire by low-energy excitations, we then develop a different method for deriving the resistivity of the wire, which can be combined with the bosonization formalism. This allows us to compare our results with previous works relying on an extension of the Tomonaga-Luttinger model to inhomogeneous systems.
18 pages, 2 figures. Invited paper for special issue of Journal of Physics: Condensed Matter on "The 0.7 Feature and Interactions in One-dimensional Systems"
References in corpus (26)
- Luttinger Liquid Behavior in Carbon Nanotubes
- Possible Spin Polarization in a One-Dimensional Electron Gas
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- The Low-Temperature Fate of the 0.7 Structure in a Point Contact: A Kondo-like Correlated State in an Open System
- Spin-charge separation and localization in one-dimension
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Interaction Effects in a One-Dimensional Constriction
- Kondo model for the "0.7 anomaly" in transport through a quantum point contact
- Bias and temperature dependence of the 0.7 conductance anomaly in Quantum Point Contacts
- Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
- Magnetic impurity formation in quantum point contacts
- Many-body spin related phenomena in ultra-low-disorder quantum wires
- Spontaneous spin polarization in quantum point contacts
- Conductance of a quantum wire at low electron density
- Spin Properties of Low Density One-Dimensional Wires
- Coulomb drag by small momentum transfer between quantum wires
- Interacting electrons with spin in a one-dimensional wire connected to leads
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Ferromagnetic correlations in quasi-one-dimensional conducting channels
- Electron-phonon scattering in quantum point contacts
- Resistivity of inhomogeneous quantum wires
- Multiple Particle Scattering in Quantum Point Contacts
- Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
- Correlated electron current and temperature dependence of the conductance of a quantum point contact
Cited by in corpus (12)
- Transport properties of partially equilibrated quantum wires
- Transport in partially equilibrated inhomogeneous quantum wires
- Transport and scattering in inhomogeneous quantum wires
- Electron-electron scattering and magnetoresistance of ballistic microcontacts
- Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances
- Conducting fixed points for inhomogeneous quantum wires: a conformally invariant boundary theory
- Phase diagram of the Bose-Hubbard model on a ring-shaped lattice with tunable weak links
- Conductance in inhomogeneous quantum wires: Luttinger liquid predictions and quantum Monte Carlo results
- Model of resistances in systems of Tomonaga-Luttinger liquid wires
- A Scaling Approach for Interacting Quantum Wires -a Possible Explanation for the 0.7 Anomalous Conductance
- Kinetic processes in Fermi-Luttinger liquids
- From Luttinger liquids to Luttinger droplets via higher-order bosonization identities