Statistical, Collective and Critical Phenomena of Classical 1D Disordered Wigner Lattices

Details Statistical, Collective and Critical Phenomena of Classical 1D Disordered Wigner Lattices Statistical, Collective and Critical Phenomena of Classical 1D Disordered Wigner Lattices

2006-12-06

arxiv.org/abs/cond-mat/0612131v4

Phys. Rev. B 76, 165129 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 10 figures, revised section on crystalline order

Scientific paper

10.1103/PhysRevB.76.165129

We explore various properties of classical one-dimensional Wigner solids in the presence of disorder at T=0 in the context of a recently discovered Anderson transition of plasma modes in the random potential system. The extent to which the Wigner lattice is really a ``crystal'' rather than an amorphous solid is discussed for two types of disorder. We investigate the way in which zero point quantum fluctuations that would normally destroy the long range positional order are affected by the disorder. The probability density of particle spacings is examined analytically within a weak disorder approximation and compared to numerical calculations for two different realizations of disorder. We also discuss the multifractal character of the eigenmodes, the compressibility of the electrons, and the AC conductivity.

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