Anderson transition of the plasma oscillations of 1D disordered Wigner lattices

Details Anderson transition of the plasma oscillations of 1D disordered Wigner lattices Anderson transition of the plasma oscillations of 1D disordered Wigner lattices

2006-04-12

arxiv.org/abs/cond-mat/0604304v4

Phys. Rev. B 75, 012302 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, Typo for the localization length corrected. Should read 1 / \nu

Scientific paper

10.1103/PhysRevB.75.012302

We report the existence of a localization-delocalization transition in the classical plasma modes of a one dimensional Wigner Crystal with a white noise potential environment at T=0. Finite size scaling analysis reveals a divergence of the localization length at a critical eigenfrequency. Further scaling analysis indicates power law behavior of the critical frequency in terms of the relative interaction strength of the charges. A heuristic argument for this scaling behavior is consistent with the numerical results. Additionally, we explore a particular realization of random-bond disorder in a one dimensional Wigner lattice in which all of the collective modes are observed to be localized.

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