Truncated-Determinant Diagrammatic Monte Carlo for Fermions with Contact Interaction

Abstract

For some models of interacting fermions the known solution to the notorious sign-problem in Monte Carlo (MC) simulations is to work with macroscopic fermionic determinants; the price, however, is a macroscopic scaling of the numerical effort spent on elementary local updates. We find that the {\it ratio} of two macroscopic determinants can be found with any desired accuracy by considering truncated (local in space and time) matices. In this respect, MC for interacting fermionic systems becomes similar to that for the sign-problem-free bosonic systems with system-size independent update cost. We demonstrate the utility of the truncated-determinant method by simulating the attractive Hubbard model within the MC scheme based on partially summed Feynman diagrams. We conjecture that similar approach may be useful in other implementations of the sign-free determinant schemes.

arXiv commentresults of the actual Hubbard model simulations are added

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Cited by in corpus (9)

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• Real-frequency Diagrammatic Monte Carlo at Finite Temperature
• Recommender Engine for Continuous Time Quantum Monte Carlo Methods
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Cancellation of vacuum diagrams and long-time limit in out-of-equilibrium diagrammatic Quantum Monte Carlo
• Exact BCS stochastic schemes for a time dependent many-body fermionic system