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arxiv: cond-mat/9911163 · v1 · submitted 1999-11-11 · ❄️ cond-mat.str-el

Two Theorems on Pseudo-spin in the Hubbard Model

classification ❄️ cond-mat.str-el
keywords hubbardinequalitymodelbipartitebogolyubovdensityeigenvaluesfinite
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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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