Projective Quantum Monte Carlo Method for the Anderson Impurity Model and its Application to Dynamical Mean Field Theory

Abstract

We develop a projective quantum Monte Carlo algorithm of the Hirsch-Fye type for obtaining ground state properties of the Anderson impurity model. This method is employed to solve the self-consistency equations of dynamical mean field theory. It is shown that the approach converges rapidly to the ground state so that reliable zero-temperature results are obtained. As a first application, we study the Mott-Hubbard metal-insulator transition of the one-band Hubbard model, reconfirming the numerical renormalization group results.

4 pages, 4 figures

References in corpus (6)

• Kondo Physics in a Single Electron Transistor
• First-principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: Dynamical Mean-field Theory
• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Finite temperature numerical renormalization group study of the Mott-transition
• Mott-Hubbard transition in infinite dimensions
• Density of states near the Mott-Hubbard transition in the limit of large dimensions

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• Quantitative Determination of the Critical Points of Mott Metal-Insulator Transition in Strongly Correlated Systems
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