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Physica C Superconductivity

Superconducting transition of the two-chain Hubbard model indicated by diagonalization calculations

Yamaji K., Yukihiro Shimoi

Published Mar 1, 1994• 63 citations
Publisher
DOI
10.1016/0921-4534(94)90553-3

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The exponent ${\mathit{K}}_{\mathrm{\ensuremath{\rho}}}$ and pair-field-correlation functions are calculated for a two-chain Hubbard model with an exact numerical diagonalization method. Our calculations clearly indicate that a superconducting phase appears for a wide range of Coulomb strength, where ${\mathit{K}}_{\mathrm{\ensuremath{\rho}}}$ and pair-field correlation functions are enhanced compared to the noninteracting system. The interchain pairing appears predominantly and thus our mechanism predicts an anisotropic superconductivity.
We present a powerful method for calculating the thermodynamic properties of infinite-dimensional Hubbard-type models using an exact diagonalization of an Anderson model with a finite number of sites. The resolution obtained for Green's functions is far superior to that of quantum Monte Carlo calculations. We apply the method to the half-filled Hubbard model for a discussion of the metal-insulator transition, and to the two-band Hubbard model where we find direct evidence for the existence of a superconducting instability at low temperatures.