Inchworm tensor train hybridization expansion quantum impurity solver

The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short in producing accurate results for multi-orbital systems with complex interactions and off-diagonal hybridizations. Recently, tensor-train-based integration and summation techniques have shown promise as effective alternatives. In this study, we use tensor train methods to tackle quantum impurity problems formulated within the imaginary-time inchworm hybridization expansion framework. We identify key challenges in the inchworm expansion itself and its interplay with tensor-train-based methods. We demonstrate the accuracy and versatility of our approach by solving general quantum impurity problems. Our results suggest that tensor-train decomposition schemes offer a viable path toward accurate and efficient multi-orbital impurity solvers.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-08-12
DOI
https://doi.org/10.1103/yt8p-vr1v
Citations
1
Primary Topic
Physics of Superconductivity and Magnetism
Type
article
Field-Weighted Citation Impact
1.26

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Inchworm tensor train hybridization expansion quantum impurity solver

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1 citations
Physical review. B./Physical review. B
Physics of Superconductivity and Magnetism
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article

Inchworm tensor train hybridization expansion quantum impurity solver

Emanuel Gull, Olivier Parcollet, Yang Yu, André Erpenbeck, Guy Cohen, Dominika Zgid
article en
1 citations

Abstract

The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short in producing accurate results for multi-orbital systems with complex interactions and off-diagonal hybridizations. Recently, tensor-train-based integration and summation techniques have shown promise as effective alternatives. In this study, we use tensor train methods to tackle quantum impurity problems formulated within the imaginary-time inchworm hybridization expansion framework. We identify key challenges in the inchworm expansion itself and its interplay with tensor-train-based methods. We demonstrate the accuracy and versatility of our approach by solving general quantum impurity problems. Our results suggest that tensor-train decomposition schemes offer a viable path toward accurate and efficient multi-orbital impurity solvers.

Physical review. B./Physical review. BVol. 112(8)
Tel Aviv University (IL), Université Paris-Saclay (FR), University of Michigan (US), Ann Arbor Center for Independent Living (US), Flatiron Health (United States) (US), Institut de Physique Théorique (FR), Flatiron Institute (US)
National Science Foundation, U.S. Department of Energy, Simons Foundation, Flatiron Health, Israel Science Foundation, PAZY Foundation, Office of Science, Division of Materials Research, Office of Advanced Cyberinfrastructure, Division of Chemistry, Basic Energy Sciences, Advanced Scientific Computing Research
Affordable and clean energy
Openalex Percentile: Top 19%
Physics of Superconductivity and Magnetism
1.26
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