Two-dimensional Wigner crystal of electrons on a helium film: Static and dynamical properties.

01 January 1984

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The interaction energy, the phonon spectrum and the longitudinal and transverse sound velocity of a two-dimensional (2D) Wigner crystal are calculated within the harmonic approximation for different values of the thickness of the underlying helium film and for different types of substrates which support the He-film. The phase diagram for Wigner crystallization is analyzed in terms of the Kosterlitz-Thouless Halpernin-Nelson theory of 2D melting.