Anderson transition of the plasma oscillations of one-dimensional disordered Wigner lattices

Shimul Akhanjee and Joseph Rudnick

Phys. Rev. B 75, 012302 – Published 8 January 2007; Erratum Phys. Rev. B 77, 229901 (2008)

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.

Received 18 October 2006

DOI:https://doi.org/10.1103/PhysRevB.75.012302

Erratum

Erratum: Anderson transition of the plasma oscillations of one-dimensional disordered Wigner lattices [Phys. Rev. B 75, 012302 (2007)]

Shimul Akhanjee and Joseph Rudnick

Phys. Rev. B 77, 229901 (2008)

Authors & Affiliations

Shimul Akhanjee^* and Joseph Rudnick^†

Department of Physics, UCLA, Box 951547, Los Angeles, California 90095-1547, USA

^*Electronic address: shimul@physics.ucla.edu
^†Electronic address: jrudnick@physics.ucla.edu

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Issue

Vol. 75, Iss. 1 — 1 January 2007

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