Symmetry-broken perturbation theory to large orders in antiferromagnetic phases - Archive ouverte HAL
Article Dans Une Revue Physical Review Letters Année : 2024

Symmetry-broken perturbation theory to large orders in antiferromagnetic phases

Renaud Garioud
  • Fonction : Auteur
Fedor Šimkovic
  • Fonction : Auteur
Gabriele Spada
Thomas Schäfer
Félix Werner

Résumé

We introduce a spin-symmetry-broken extension of the connected determinant algorithm [Phys.Rev. Lett. 119, 045701 (2017)]. The resulting systematic perturbative expansions around an antiferromagnetic state allow for numerically exact calculations directly inside a magnetically ordered phase. We show new precise results for the magnetic phase diagram and thermodynamics of the three-dimensional cubic Hubbard model at half-filling. With detailed computations of the order parameter in the low to intermediate-coupling regime, we establish the N\'eel phase boundary. The critical behavior in its vicinity is shown to be compatible with the $O(3)$ Heisenberg universality class. By determining the evolution of the entropy with decreasing temperature through the phase transition we identify the different physical regimes at $U/t\!=\!4$. We provide quantitative results for several thermodynamic quantities deep inside the antiferromagnetic dome up to large interaction strengths and investigate the crossover between the Slater and Heisenberg regimes.

Dates et versions

hal-03842477 , version 1 (07-11-2022)

Identifiants

Citer

Renaud Garioud, Fedor Šimkovic, Riccardo Rossi, Gabriele Spada, Thomas Schäfer, et al.. Symmetry-broken perturbation theory to large orders in antiferromagnetic phases. Physical Review Letters, 2024, 132 (24), pp.246505. ⟨10.1103/PhysRevLett.132.246505⟩. ⟨hal-03842477⟩
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