Determinant Monte Carlo algorithms for dynamical quantities in fermionic systems

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-i...

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Bibliographic Details
Published inarXiv.org
Main Authors Moutenet, Alice, Wu, Wei, Ferrero, Michel
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.02.2018
Subjects
Algorithms
Computer simulation
Monte Carlo simulation
Physics - Strongly Correlated Electrons
Two dimensional models
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1712.10304