Benchmarking the TPSC+ Approach to the Two-Dimensional Hubbard Model

ORAL

Abstract

One of the important models for the study of electron interactions in strongly correlated materials is the Hubbard model. There is a handful of approaches to find approximate solutions to this model. One of these methods is the Two-Particle Self-Consistent approach (TSPC) [1], which satisfies a number of exact results and which has been used to study electron-doped cuprates successfully. However, this method is not valid in regimes where the antiferromagnetic correlation length becomes too large.

In this work, we aim to increase the domain of applicability of the TPSC approach, mostly for the pseudogap region, which is important for the electron-doped cuprates. To do so, we introduce a new method, the TPSC+ approach [2]. We benchmark our results to quantum Monte Carlo simulations. We also apply this new approach to the specific case of the electron-doped cuprates in the antiferromagnetic pseudogap region of the phase diagram.

 

[1] Vilk, Y. M., and al. Journal de Physique I 7, no. 11 (November 1997): 1309–68

[2] Schäfer, et al. Physical Review X 11, no. 1 (March 23, 2021): 011058.

Presenters

  • Camille Lahaie

    Universite de Sherbrooke

Authors

  • Camille Lahaie

    Universite de Sherbrooke

  • Chloé Gauvin-Ndiaye

    Université de Sherbrooke, RQMP & Institut quantique, Universite de Sherbrooke, Université de Sherbrooke

  • A.-M. S Tremblay

    Universite de Sherbrooke, RQMP and Institut quantique, Universite de Sherbrooke, Université de Sherbrooke, RQMP & Institut quantique