Conductance of fractional Luttinger liquids at finite temperatures

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 in...

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Bibliographic Details
Published in:Physical review. B 2018-07, Vol.98 (4), p.045416, Article 045416
Main Authors: Aseev, Pavel P., Loss, Daniel, Klinovaja, Jelena
Format: Article
Language:English
Subjects:
Chemical potential
Electric contacts
Electric wire
Interaction parameters
Magnetic fields
Magnetic resonance
Momentum
Organic chemistry
Quantum wires
Resistance
Spin-orbit interactions
Temperature dependence
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Summary: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.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.045416