Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a comprehensive set of state-of-the-art quantum many-body method...
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American Physical Society
2021
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oai:doaj.org-article:203133f3a68c4847877129268659a9122021-12-02T13:13:13ZTracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model10.1103/PhysRevX.11.0110582160-3308https://doaj.org/article/203133f3a68c4847877129268659a9122021-03-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011058http://doi.org/10.1103/PhysRevX.11.011058https://doaj.org/toc/2160-3308The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a comprehensive set of state-of-the-art quantum many-body methods. Upon cooling into its insulating antiferromagnetic ground state, the model hosts a rich sequence of distinct physical regimes with crossovers between a high-temperature incoherent regime, an intermediate-temperature metallic regime, and a low-temperature insulating regime with a pseudogap created by antiferromagnetic fluctuations. We assess the ability of each method to properly address these physical regimes and crossovers through the computation of several observables probing both quasiparticle properties and magnetic correlations, with two numerically exact methods (diagrammatic and determinantal quantum Monte Carlo methods) serving as a benchmark. By combining computational results and analytical insights, we elucidate the nature and role of spin fluctuations in each of these regimes. Based on this analysis, we explain how quasiparticles can coexist with increasingly long-range antiferromagnetic correlations and why dynamical mean-field theory is found to provide a remarkably accurate approximation of local quantities in the metallic regime. We also critically discuss whether imaginary-time methods are able to capture the non-Fermi-liquid singularities of this fully nested system.Thomas SchäferNils WentzellFedor Šimkovic, IVYuan-Yao HeCornelia HilleMarcel KlettChristian J. EckhardtBehnam ArzhangViktor HarkovFrançois-Marie Le RégentAlfred KirschYan WangAaram J. KimEvgeny KozikEvgeny A. StepanovAnna KauchSabine AndergassenPhilipp HansmannDaniel RoheYuri M. VilkJames P. F. LeBlancShiwei ZhangA.-M. S. TremblayMichel FerreroOlivier ParcolletAntoine GeorgesAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011058 (2021) |
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DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
Physics QC1-999 |
| spellingShingle |
Physics QC1-999 Thomas Schäfer Nils Wentzell Fedor Šimkovic, IV Yuan-Yao He Cornelia Hille Marcel Klett Christian J. Eckhardt Behnam Arzhang Viktor Harkov François-Marie Le Régent Alfred Kirsch Yan Wang Aaram J. Kim Evgeny Kozik Evgeny A. Stepanov Anna Kauch Sabine Andergassen Philipp Hansmann Daniel Rohe Yuri M. Vilk James P. F. LeBlanc Shiwei Zhang A.-M. S. Tremblay Michel Ferrero Olivier Parcollet Antoine Georges Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| description |
The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a comprehensive set of state-of-the-art quantum many-body methods. Upon cooling into its insulating antiferromagnetic ground state, the model hosts a rich sequence of distinct physical regimes with crossovers between a high-temperature incoherent regime, an intermediate-temperature metallic regime, and a low-temperature insulating regime with a pseudogap created by antiferromagnetic fluctuations. We assess the ability of each method to properly address these physical regimes and crossovers through the computation of several observables probing both quasiparticle properties and magnetic correlations, with two numerically exact methods (diagrammatic and determinantal quantum Monte Carlo methods) serving as a benchmark. By combining computational results and analytical insights, we elucidate the nature and role of spin fluctuations in each of these regimes. Based on this analysis, we explain how quasiparticles can coexist with increasingly long-range antiferromagnetic correlations and why dynamical mean-field theory is found to provide a remarkably accurate approximation of local quantities in the metallic regime. We also critically discuss whether imaginary-time methods are able to capture the non-Fermi-liquid singularities of this fully nested system. |
| format |
article |
| author |
Thomas Schäfer Nils Wentzell Fedor Šimkovic, IV Yuan-Yao He Cornelia Hille Marcel Klett Christian J. Eckhardt Behnam Arzhang Viktor Harkov François-Marie Le Régent Alfred Kirsch Yan Wang Aaram J. Kim Evgeny Kozik Evgeny A. Stepanov Anna Kauch Sabine Andergassen Philipp Hansmann Daniel Rohe Yuri M. Vilk James P. F. LeBlanc Shiwei Zhang A.-M. S. Tremblay Michel Ferrero Olivier Parcollet Antoine Georges |
| author_facet |
Thomas Schäfer Nils Wentzell Fedor Šimkovic, IV Yuan-Yao He Cornelia Hille Marcel Klett Christian J. Eckhardt Behnam Arzhang Viktor Harkov François-Marie Le Régent Alfred Kirsch Yan Wang Aaram J. Kim Evgeny Kozik Evgeny A. Stepanov Anna Kauch Sabine Andergassen Philipp Hansmann Daniel Rohe Yuri M. Vilk James P. F. LeBlanc Shiwei Zhang A.-M. S. Tremblay Michel Ferrero Olivier Parcollet Antoine Georges |
| author_sort |
Thomas Schäfer |
| title |
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| title_short |
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| title_full |
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| title_fullStr |
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| title_full_unstemmed |
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model |
| title_sort |
tracking the footprints of spin fluctuations: a multimethod, multimessenger study of the two-dimensional hubbard model |
| publisher |
American Physical Society |
| publishDate |
2021 |
| url |
https://doaj.org/article/203133f3a68c4847877129268659a912 |
| work_keys_str_mv |
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