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Insulator, metal, or superconductor: The criteria

Douglas J. Scalapino, Steven R. White, Shoucheng Zhang

DOI 10.1103/PhysRevB.47.7995 · Physical Review B

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Abstract

The appropriate infinite-wavelength qi→0 and zero-frequency ω→0 limits of the paramagnetic current-current correlation function provide criteria for determining whether a system is insulating, metallic, or superconducting. Here we discuss these criteria for lattice models and present Monte Carlo data for the two-dimensional positive- and negative-U Hubbard models that imply that the ground state of the half-filled positive-U Hubbard model is an insulator, the doped state is a metal, and the negative-U Hubbard model is a superconductor.

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