Residual entropy of the Mott insulator with no symmetry broken

Details Residual entropy of the Mott insulator with no symmetry broken Residual entropy of the Mott insulator with no symmetry broken

2012-03-15

arxiv.org/abs/1203.3576v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

The half-filled ground state of the Hubbard model on the hyper-cubic lattice in D dimensions is studied under and beyond supreme single-site approximation, which is none other than dynamical mean-field theory (DMFT), by Kondo-lattice theory, which is none other than 1/D expansion theory, but within the constrained Hilbert subspace where no symmetry is allowed to be broken. A gap can open in the single-particle excitation spectrum if and only if residual entropy is nonzero or entropy at T=+0K is nonzero. The Mott insulator with no symmetry broken, if it is possible, is characterized by nonzero residual entropy or nonzero entropy at T=+0K. This conclusion is never inconsistent with Brinkman and Rice's theory and DMFT, while it is inconsistent with the Bethe-ansatz solution for one dimension. Two possible explanations are given for the inconsistency.

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