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

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

3 pages, 2 figures, RevTex

References in corpus (1)

• Absence of hysteresis at the Mott-Hubbard metal-insulator transition in infinite dimensions

Cited by in corpus (11)

• Finite temperature numerical renormalization group study of the Mott-transition
• Quantum impurity solvers using a slave rotor representation
• Mott-Hubbard transition in infinite dimensions
• Quantum Monte Carlo calculation of the finite temperature Mott-Hubbard transition
• A Tensor Train Continuous Time Solver for Quantum Impurity Models
• The Mott insulator - 10th order perturbation theory extended to infinite order using QMC
• Mott transitions in the half-filled SU(2M) symmetric Hubbard model
• Analytical and Numerical Treatment of the Mott--Hubbard Insulator in Infinite Dimensions
• Critical Behaviour near the Mott Metal-Insulator Transition in a Two-band Hubbard Model
• Mott transition in the asymmetric Hubbard model at half-filling within dynamical mean-field theory
• Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit