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Strongly interacting Luttinger liquid and superconductivity in an exactly solvable model

Igor N. Karnaukhov, Alexander A. Ovchinnikov

DOI 10.1103/PhysRevB.66.104518 · Physical Review B

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Abstract

A 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 strongly interacting Luttinger liquid can be realized in superconducting state at a high electron density and high value of repulsive on-site Coulomb interaction.

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