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We show that the conductivity of 2D Wigner crystals displays strong nonlinearity. It arises from coherent many-electron Cherenkov emission of surface waves in the substrate (e.g., ripplons on helium) with the wave vectors q close to the reciprocal lattice vectors G of the electron solid. The rate of such Bragg-Cherenkov scattering sharply increases with the Wigner crystal velocity v as v ̇ \.G approaches the surface wave frequency ω(G). The results are compared with recent experiments.
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Dykman et al. (1997) studied this question.
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