Strongly Interacting Luttinger Liquid and Superconductivity in an Exactly Solvable Model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages, 2 figures, RevTex

Scientific paper

10.1103/PhysRevB.66.104518

A new family of exactly solvable one dimensional models with a hard-core repulsive potential is solved by the Bethe Ansatz for an arbitrary hard-core radius. The exact ground state phase diagrams in a plane 'electron density - on-site interaction' have been studied for several values of a hard-core radius. It is shown that superconducting phase and strongly interacting Luttinger liquid state are coexisted at a high electron density and unusually high value of repulsive on-site Coulomb interaction.

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