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

2004/05/18 by M. Feldbacher, Karsten Held, K. Held +2 · 5 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.93.136405

published as Phys. Rev. Lett. 93, 136405 (2004) · 4 pages, 4 figures

arxiv created 2004/05/18 · openalex publication_date 2004/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 frustrated one-band Hubbard model, reconfirming the numerical renormalization group results.

Citations

• The renormalization group: Critical phenomena and the Kondo problem

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