Wigner lattice

J. Hubbard, Generalized wigner lattices in one dimension and some applications to tetracyanoquinodimethane (TCNQ) salts, Phys. Rev. 817 494—505 (1978). 

It means that we should introduce into the initial Wigner lattice N charged defects - additional pairs of D+A ... 

Already some 50 years ago, attempts have been made to estimate corrections upon the HF approximation. A concise review, including the diagrammatic expansion of the correlation energy and the Wigner lattice is e.g. given by Mahan . ... 

Wigner Lattice Model.—Marcel j a et al. have considered a Wigner lattice model in which each particle moves about in a sphere containing an equal and opposite charge centred on the lattice site. The surface potential of each particle in the dispersion is determined by solving the Poisson-Boltzmann... 

Monte Carlo studies show that the Wigner lattice melts when the parameter r is about 155 10 (corresponding to /l 0.08). Thus, whatever the form of the effective repulsive interaction, from very soft (unscreened Coulomb) to hard (say r ), the empirical Lindemann rule provides melting curves that are, at worst, qualitatively correct. 

The low-density (rg -> oo) limit is also the strong coupling limit in which the uniform fluid phase is unstable against the formation of a close-packed Wigner lattice of localized electrons. Because the energies of these two phases remain nearly degenerate as rg — c , they have the same kind of dependence upon rs [56] ... 

Electrons generated in the vapor phase above a liquid can either enter the liquid freely or become localized at the liquid surface depending on the energetic position of the conduction level in the liquid. If Vq is smaller than zero, the electrons encounter no barrier at the surface. For Vq > 0, electron transfer is hindered. For sufficiently large Vq ( 1 eV) as in the case of IHe, the electrons become localized at the surface. At high electron concentrations, a two-dimensional ordered structure is formed (Wigner lattice). 

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