Two Theorems on Pseudo-spin in the Hubbard Model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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8 pages, LATEX, no figures

Scientific paper

10.1016/S0375-9601(00)00042-6

An inequality of the eigenvalues of the reduced density matrix $\rho_2$ at
finite temperature in the Hubbard model is obtained by means of the Bogolyubov
inequality. The quasi-average of $\tilde{S}^{+}$ in a simple symmetry-breaking
perturbation of the Hamiltonian for a bipartite lattice is shown to be zero.

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