Andreev-Lifshitz supersolid revisited for a few electrons on a square lattice I

Abstract

In 1969, Andreev and Lifshitz have conjectured the existence of a supersolid phase taking place at zero temperature between the quantum liquid and the solid. In this and a succeeding paper, we re-visit this issue for a few polarized electrons (spinless fermions) interacting via a U/r Coulomb repulsion on a two dimensional L * L square lattice with periodic boundary conditions and nearest neighbor hopping.

12 pages, 17 postscript figures, final version, added references

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• Possible observation of phase coexistence of the $\nu =1/3$ fractional quantum Hall liquid and a solid
• Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System
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• Persistent currents in two dimensions: New regimes induced by the interplay between electronic correlations and disorder
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