Determinant Monte Carlo algorithms for dynamical quantities in fermionic systems - Département de physique
Article Dans Une Revue Physical Review B Année : 2018

Determinant Monte Carlo algorithms for dynamical quantities in fermionic systems

Résumé

We introduce and compare three different Monte Carlo determinantal algorithms that allow one to compute dynamical quantities, such as the self-energy, of fermionic systems in their thermodynamic limit. We show that the most efficient approach expresses the sum of a factorial number of one-particle-irreducible diagrams as a recursive sum of determinants with exponential complexity. By comparing results for the two-dimensional Hubbard model with those obtained from state-of-the-art diagrammatic Monte Carlo, we show that we can reach higher perturbation orders and greater accuracy for the same computational effort.
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Dates et versions

hal-02364078 , version 1 (08-01-2025)

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Alice Moutenet, Wei Wu, Michel Ferrero. Determinant Monte Carlo algorithms for dynamical quantities in fermionic systems. Physical Review B, 2018, 97 (8), pp.085117. ⟨10.1103/PhysRevB.97.085117⟩. ⟨hal-02364078⟩
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