2000/09/22 by Jaewook Joo, V. S. Oudovenko, Viktor Oudovenko · 39 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Classical mechanics #Condensed matter physics #Convergence (economics) #Discretization #Hubbard model #Interpolation (computer graphics) #Magnetic and transport properties of perovskites and related materials #Mathematical analysis #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Statistical physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.64.193102
published in Physical review. B, Condensed matter 64(19) (American Physical Society) · 4 pages, 5 figures
arxiv created 2000/09/22 · openalex publication_date 2001/10/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present clear numerical evidence for the coexistence of metallic and insulating dynamical mean-field theory (DMFT) solutions in a half-filled single-band Hubbard model at finite temperature. The quantum Monte Carlo (QMC) method is used to solve the DMFT equation. We discuss important technical aspects of the DMFT-QMC method, which should be properly dealt with in order to obtain reliable DMFT solutions at low temperatures. Among these technical aspects are the critical slowing down near the boundaries of the coexistence region, the convergence criteria for the DMFT iterations, and the correct interpolation of the discretized Green's functions.