Equilibration of Luttinger liquid and conductance of quantum wires

Details Equilibration of Luttinger liquid and conductance of quantum wires Equilibration of Luttinger liquid and conductance of quantum wires

2011-03-18

arxiv.org/abs/1103.3720v1

Phys. Rev. Lett. 107, 056402 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.107.056402

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance is quantized. We show that relaxation processes not captured by the Luttinger liquid theory lead to equilibration of the excitations with the current and give rise to a temperature-dependent correction to the conductance. In long wires, the magnitude of the correction is expressed in terms of the velocities of bosonic excitations. In shorter wires it is controlled by the relaxation rate.

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