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Absence of long-range superconducting correlations in the frustrated half-filled-band Hubbard model

S. Dayal, R. T. Clay, S. Mazumdar

DOI 10.1103/PhysRevB.85.165141 · Physical Review B

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Abstract

We present many-body calculations of superconducting pair-pair correlations in the ground state of the half-filled-band Hubbard model on large anisotropic triangular lattices. Our calculations cover nearly the complete range of anisotropies between the square and isotropic triangular lattice limits. We find that the superconducting pair-pair correlations decrease monotonically with increasing on site Hubbard interaction U for interpair distances greater than nearest neighbor. For the large lattices of interest here the distance dependence of the correlations approaches that for noninteracting electrons. Both these results are consistent with the absence of superconductivity in this model in the thermodynamic limit. We conclude that the effective 12-filled band Hubbard model, suggested by many authors to be appropriate for the κ-(BEDT-TTF)-based organic charge-transfer solids, does not explain the superconducting transition in these materials.

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