Quantum Monte Carlo Study of Strongly Correlated Electrons: Cellular Dynamical Mean-Field Theory

Abstract

We study the Hubbard model using the Cellular Dynamical Mean-Field Theory (CDMFT) with quantum Monte Carlo (QMC) simulations. We present the algorithmic details of CDMFT with the Hirsch-Fye QMC method for the solution of the self-consistently embedded quantum cluster problem. We use the one- and two-dimensional half-filled Hubbard model to gauge the performance of CDMFT+QMC particularly for small clusters by comparing with the exact results and also with other quantum cluster methods. We calculate single-particle Green's functions and self-energies on small clusters to study their size dependence in one- and two-dimensions.

14 pages, 18 figures

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Cited by in corpus (33)

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• Defects in correlated metals and superconductors
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
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• Geometry Dependence of the Sign Problem
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• Quantum Critical Points and the Sign Problem
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• Orbital Selective Phase Transition
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• Fourth-Order Perturbation Expansion for Hubbard Model on a Two-Dimensional Square Lattice
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• Strong-coupling Superconductivity in the Cuprate Oxide
• The short-range correlations of a doped Mott insulator