Evaluation of the BCS approximation for the attractive Hubbard model in one dimension

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Evaluation of the BCS Approximation for the Attractive Hubbard Model in One Dimension

The ground state energy and energy gap to the first excited state are calculated for the attractive Hubbard model in one dimension using both the Bethe Ansatz equations and the variational BCS wavefunction. Comparisons are provided as a function of coupling strength and electron density. While the ground state energies are always in very good agreement, the BCS energy gap is sometimes incorrect...

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ژورنال

عنوان ژورنال: Physical Review B

سال: 1997

ISSN: 0163-1829,1095-3795

DOI: 10.1103/physrevb.55.575