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- W1517004502 abstract "We explore various properties of classical one-dimensional Wigner solids in the presence of weak disorder at $T=0$ in the context of a recently discovered Anderson transition of plasma modes in a 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. 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. Regarding the plasma oscillations, the exact plasmon dispersion relations for the ordered Wigner crystal is derived analytically from the real space equations of motion. The methods introduced for performing the necessary lattice sums can be extended to tight-binding models of noninteracting electrons with power law hopping. We also discuss other quantities that follow from plasma oscillations such as the multifractal eigenfunctions, the compressibility of the electrons, and the ac conductivity." @default.
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- W1517004502 date "2007-10-26" @default.
- W1517004502 modified "2023-09-23" @default.
- W1517004502 title "Statistical, collective, and critical phenomena of classical one-dimensional disordered Wigner lattices" @default.
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- W1517004502 doi "https://doi.org/10.1103/physrevb.76.165129" @default.
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