Conductance of fractional Luttinger liquids at finite temperatures

Abstract

We study the electrical conductance in single-mode quantum wires with Rashba spin-orbit interaction subjected to externally applied magnetic fields in the regime in which the ratio of spin-orbit momentum to the Fermi momentum is close to an odd integer, so that a combined effect of multi-electron interaction and applied magnetic field leads to a partial gap in the spectrum. We study how this partial gap manifests itself in the temperature dependence of the fractional conductance of the quantum wire. We use two complementing techniques based on bosonization: refermionization of the model at a particular value of the interaction parameter and a semiclassical approach within a dilute soliton gas approximation of the functional integral. We show how the low-temperature fractional conductance can be affected by the finite length of the wire, by the properties of the contacts, and by a shift of the chemical potential, which takes the system away from the resonance condition. We also predict an internal resistivity caused by a dissipative coupling between gapped and gapless modes.

20 pages, 15 figures

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Cited by in corpus (8)

• Coupled-wire constructions: a Luttinger liquid approach to topology
• Fractional Conductance in Strongly Interacting 1D Systems
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Clock model and parafermions in Rashba nanowires
• Fermi Surface Resonance and Quantum Criticality in Strongly Interacting Fermi Gases
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
• Electron-electron interactions in partially mixed helical states