Dynamical response of a pinned two-dimensional Wigner crystal

M. M. Fogler, D. A. Huse

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We reexamine a long-standing problem of the finite-frequency conductivity of a weakly pinned two-dimensional classical Wigner crystal. In this system an inhomogeneously broadened absorption line (pinning mode) centered at disorder- and magnetic-field-dependent frequency ωp is known to appear. We show that the relative linewidth Δωpp of the pinning mode is of the order of 1 in weak magnetic fields, exhibits a power-law decrease in intermediate fields, and eventually saturates at a small value in strong magnetic fields. The linewidth narrowing is due to a peculiar mechanism of mixing between the stiffer longitudinal and the softer transverse components of the collective excitations. The width of the high-field resonance proves to be related to the density of states in the low-frequency tail of the zero-field phonon spectrum. We find a qualitative agreement with recent experiments and point out differences from the previous theoretical work on the subject.

Original languageEnglish (US)
Pages (from-to)7553-7570
Number of pages18
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - Sep 15 2000

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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