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Finite-temperature calculations of correlated electron systems. (English) Zbl 0988.82027
Summary: We describe a quantum Monte Carlo approach to study finite-temperature properties of correlated fermion systems. The algorithm retains advantages of the standard auxiliary-field formalism, which is widely applied in areas spanning condensed-matter, high-energy, and nuclear physics, while eliminating the sign decay that is the signature of the fermion sign problem. It allows simulations at larger system sizes and lower temperatures. The sign decay is eliminated by imposition of an approximate boundary condition in auxiliary-field space. We discuss the analytical origin of the boundary condition and illustrate its implementation by highlighting the similarities to a diffusion process with absorption.

MSC:
82B80 Numerical methods in equilibrium statistical mechanics (MSC2010)
82B10 Quantum equilibrium statistical mechanics (general)
81V70 Many-body theory; quantum Hall effect
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