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arXiv · 1312.6855

Thermal transport and quench relaxation in nonlinear Luttinger liquids

Stanislav Apostolov·Dong E. Liu·Zakhar Maizelis·Alex Levchenko
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Abstract

One-dimensional electrons with a linearized dispersion relation are equivalent to a collection of harmonic plasmon modes, which represent long wavelength density oscillations. An immediate consequence of this Luttinger model of one-dimensional electron systems is the absence of inelastic scattering processes responsible for the relaxation of nonequilibrium states. In a generic nonlinear Luttinger liquid plasmons may decay and thus acquire a finite lifetime. We show that equilibration of plasmons is hierarchical and has profound implications for the dynamics after a thermal quench. We also develop a thermal transport theory and compute thermal conductance of the nonlinear Luttinger liquid by treating the collision integral of plasmons in a manifestly nonperturbative way.

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Stanislav Apostolov, Dong E. Liu, Zakhar Maizelis, Alex Levchenko. 2013-12-24. Thermal transport and quench relaxation in nonlinear Luttinger liquids. https://doi.org/10.1103/physrevb.88.045435

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