Exact Solution of a Repulsive Fermi Model With Enhanced Superconducting Correlations

Physics – Condensed Matter – Superconductivity

Scientific paper

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12 pages revtex, 1 eps figure, To Appear in Phys. Rev. Letts

Scientific paper

10.1103/PhysRevLett.84.4918

We present the exact solution of a model of interacting fermions in any dimension with a pure repulsive interaction projecting out a given Cooper channel. The solution rests upon the infinite ranged character of the interaction in real space, leading to a functional integral that is dominated by a Gaussian term. The solution produces strong superconducting enhancements and quasi long ranged order in a channel that is not present in the Hamiltonian explicitly, but of the form given by arguments from order by projection.

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