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Coexistence of solutions in dynamical mean-field theory of the Mott transition

1999/08/16 by Werner Krauth · 1 citation
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.62.6860

published as Phys. Rev. B, 62 (2000) 6860 · 3 pages, 2 figures, RevTex

arxiv created 1999/08/16 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, I discuss the finite-temperature metal-insulator transition of the paramagnetic Hubbard model within dynamical mean-field theory. I show that coexisting solutions, the hallmark of such a transition, can be obtained in a consistent way both from quantum Monte Carlo (QMC) simulations and from the exact diagonalization method. I pay special attention to discretization errors within the QMC method. These errors explain why it is difficult to obtain the solutions from the QMC method close to the boundaries of the coexistence region.

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