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

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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

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Disordered Systems and Neural Networks, Strongly Correlated Electrons

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http://salesiana.dossiersoluciones.com/handle/123456789/162003

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0604304
 http://arxiv.org/abs/cond-mat/0604304
 Phys. Rev. B 75, 012302 (2007)
 doi:10.1103/PhysRevB.75.012302

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arXiv