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

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

1999-08-16

arxiv.org/abs/cond-mat/9908221v1

Phys. Rev. B, 62 (2000) 6860

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 2 figures, RevTex

Scientific paper

10.1103/PhysRevB.62.6860

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 QMC. These errors explain why it is difficult to obtain the solutions by QMC close to the boundaries of the coexistence region.

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