Abstract
It is shown that a static magnetic field applied perpendicular to a quasi twodimensional Wigner crystal lifts the degeneracy, e.g., of transverse and longitudinal vibrational frequencies and modifies their dispersion. The dependence of the effect on the magnitude of the applied field, on the electron surface concentration, and its relevance for observing a two-dimensional Wigner crystal are investigated quantitatively for a triangular lattice of a three-layer structure in harmonic approximation.
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See, for instance, Koch, J. F., in: Advances in Solid State Physics XV, ed. H.J. Queisser, p. 79, Pergamon-Vieweg (1975) and further references cited there in
See, for instance, Cole, M.W.: Rev. Mod. Phys.46, 451 (1974) for further references
Meissner, G., Namaizawa, H., Voss, M.: To appear in Phys. Rev. B
Thek-dependence of the renormalized vibrational frequencies176-1 ± in the long wavelength limit is, of course, independent from details of the lattice structure. Therefore, the predictions of A.V. Chaplik, Zh. Eksp. Teor. Fiz.62, 746 (1972) [Sov. Phys.-JETP35, 395 (1972)] concerning the dispersion in that limit are correct, inspite of the fact that his considerations were based on a square lattice which actually has been shown in Ref. 3 to be unstable
See, for instance, Pines, D.: Elementary Excitations in Solids. New York: Benjamin 1963
Flammang, A., Meissner, G.: To be published
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Meissner, G. Magnetic field dependence of vibrational excitations in a two-dimensional triangular Wigner crystal. Z Physik B 23, 173–176 (1976). https://doi.org/10.1007/BF01352712
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DOI: https://doi.org/10.1007/BF01352712