Feedback effects and the self-consistent Thouless criterion of the attractive Hubbard model

Abstract

We propose a fully microscopic theory of the anomalous normal state of the attractive Hubbard model in the low-density limit that accounts for propagator renormalization. Our analytical conclusions, which focus on the thermodynamic instabilities contained in the self-consistent equations associated with our formulation, have been verified by our comprehensive numerical study of the same equations. The resulting theory is found to contain no transitions at non-zero temperatures for all finite lattices, and we have confirmed, using our numerical studies, that this behaviour persists in the thermodynamic limit for low-dimensional systems.

6 pages, 2 eps format figures

References in corpus (1)

• New Solutions of the T-Matrix Theory of the Attractive Hubbard Model

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