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Superconductivity in the hubbard model: a lattice gauge formulation

D. Schmeltzer

DOI 10.1103/PhysRevB.38.8923 · Physical Review B

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Abstract

Using a functional-integral method we show that the two-dimensional Hubbard model coupled weakly in the third dimension has a superconducting solution for the non-half-filled band case. The superconducting critical temperature is determined by the Bose-Einstein condensation temperature. This temperature increases with the coupling to the third dimension and with the hole concentration. The critical behavior is similar to that of a three-dimensional type-II superconductor with a neutral Higgs field induced by the spinon fluctuations.

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