Equilibration of a one-dimensional Wigner crystal

Details Equilibration of a one-dimensional Wigner crystal Equilibration of a one-dimensional Wigner crystal

2010-04-02

arxiv.org/abs/1004.0375v1

Phys. Rev. Lett. 105, 046401 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.105.046401

Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation towards equilibrium. We study this phenomenon in the case of spinless electrons with strong long-range repulsion, when the electrons form a one-dimensional Wigner crystal. We find the relaxation rate by accounting for the Umklapp scattering of phonons in the crystal. For the integrable model of particles with inverse-square repulsion, the relaxation rate vanishes.

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