Anderson transition of the plasma oscillations of 1D disordered Wigner lattices
arXiv:cond-mat/0604304 · doi:10.1103/PhysRevB.75.012302
Abstract
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.
4 pages, 3 figures, Typo for the localization length corrected. Should read 1 / ν