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Article Dans Une Revue Physical Review X Année : 2021

Tracking the Footprints of Spin Fluctuations: A Multi-Method, Multi-Messenger Study of the Two-Dimensional Hubbard Model

Thomas Schäfer
Nils Wentzell
  • Fonction : Auteur
Fedor Šimkovic
Yuan-Yao He
  • Fonction : Auteur
Cornelia Hille
  • Fonction : Auteur
Marcel Klett
  • Fonction : Auteur
Christian J. Eckhardt
  • Fonction : Auteur
Christian Eckhardt
  • Fonction : Auteur
Behnam Arzhang
  • Fonction : Auteur
Viktor Harkov
  • Fonction : Auteur
François-Marie Le Régent
  • Fonction : Auteur
Alfred Kirsch
  • Fonction : Auteur
Yan Wang
Aaram Kim
  • Fonction : Auteur
Evgeny Kozik
  • Fonction : Auteur
Evgeny Stepanov
  • Fonction : Auteur
Anna Kauch
  • Fonction : Auteur
Sabine Andergassen
  • Fonction : Auteur
Philipp Hansmann
Daniel Rohe
  • Fonction : Auteur
Yuri Vilk
  • Fonction : Auteur
James P. f. Leblanc
  • Fonction : Auteur
Shiwei Zhang
  • Fonction : Auteur
A.-M. s. Tremblay
  • Fonction : Auteur
Olivier Parcollet
  • Fonction : Auteur

Résumé

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 testing grounds, 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) 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 and explain, in particular, how quasiparticles can coexist with increasingly long-range antiferromagnetic correlations 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.

Dates et versions

hal-03012440 , version 1 (18-11-2020)

Identifiants

Citer

Thomas Schäfer, Nils Wentzell, Fedor Šimkovic, Yuan-Yao He, Cornelia Hille, et al.. Tracking the Footprints of Spin Fluctuations: A Multi-Method, Multi-Messenger Study of the Two-Dimensional Hubbard Model. Physical Review X, 2021, 11 (1), pp.011058. ⟨10.1103/PhysRevX.11.011058⟩. ⟨hal-03012440⟩
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