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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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

Scientific paper

10.1140/epjb/e2003-00048-0

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.

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