Equilibration of a one-dimensional wigner crystal

K. A. Matveev, A. V. Andreev, M. Pustilnik

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27 Citations (Scopus)


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.

Original languageEnglish
Article number046401
JournalPhysical Review Letters
Issue number4
Publication statusPublished - 20 Jul 2010
Externally publishedYes


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