Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-09-21
Phys. Rev. B 73, 214513 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, 6 figures. To be published on Physical Review B
Scientific paper
10.1103/PhysRevB.73.214513
We study mesoscopic pairing in the one dimensional repulsive Hubbard model and its interplay with the BCS model in the canonical ensemble. The key tool is comparing the Bethe ansatz equations of the two models in the limit of small Coulomb repulsion. For the ordinary Hubbard interaction the BCS Bethe equations with infinite pairing coupling are recovered; a finite pairing is obtained by considering a further density-dependent phase-correlation in the hopping amplitude of the Hubbard model. We find that spin degrees of freedom in the Hubbard ground state are arranged in a state of the BCS type, where the Cooper-pairs form an un-condensed liquid on a ``lattice'' of single particle energies provided by the Hubbard charge degrees of freedom; the condensation in the BCS ground state corresponds to Hubbard excitations constituted by a sea of spin singlets.
Amico Luigi
Mastellone Andrea
Osterloh Andreas
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