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Physica B Condensed Matter

BCS properties of the eigenstates in the Hubbard model

Jacob Szeftel

Published Feb 1, 1995• 0 citations
Publisher
DOI
10.1016/0921-4526(94)00562-a

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We consider the Hubbard model and its extensions on bipartite lattices. We define a dynamical group based on the -pairing operators introduced by Yang, and define coherent pairing states, which are combinations of eigenfunctions of -operators. These states permit exact calculations of numerous physical properties of the system, including energy, various fluctuations and correlation functions, including pairing off-diagonal long-range order to all orders. This approach is complementary to BCS, in that these are superconducting coherent states associated with the exact model, although they are not eigenstates of the Hamiltonian.