Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins

Abstract

We describe a controllable and unbiased strong-coupling diagrammatic Monte Carlo technique that is applicable to a wide range of fermionic systems and spin models. Unlike previous strong coupling methods that generally rely on the Grassmannian Hubbard-Stratonovich transformation, our construction is based on Wick's theorem and a recursive procedure to group contractions into effective connected vertices that are non-perturbative in all local physics and can be calculated exactly. The resulting expansion is described by simple diagrammatic rules that make it suitable for systematic treatment via stochastic sampling. Benchmarks against numerical linked cluster expansion display excellent agreement.

8 pages, 6 figures

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Cited by in corpus (4)

• In situ controllable magnetic phases in doped twisted bilayer transition-metal dichalcogenides
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Physical and unphysical regimes of self-consistent many-body perturbation theory
• Functional renormalization group for extremely correlated electrons