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Dynamical response of a pinned two-dimensional Wigner crystal | | Michael M. Fogler
; David A. Huse
; | | Date: |
20 Apr 2000 | | Journal: | Phys. Rev. B 62, 7553 (2000) | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Disordered Systems and Neural Networks | cond-mat.mes-hall cond-mat.dis-nn | | Affiliation: | IAS), David A. Huse (Princeton | | Abstract: | We re-examine a long-standing problem of a 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 $omega_p$ is known to appear. We show that the relative linewidth $Delta omega_p / omega_p$ of the pinning mode is of the order of one 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. | | Source: | arXiv, cond-mat/0004343 | | Services: | Forum | Review | PDF | Favorites | |
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