Extension of Dynamical Variational Monte Carlo and its application for Fermi arcs

ORAL

Abstract

The theoretical and numerical treatment of strongly-correlated many-electron systems requires the continued development of high-accuracy many-body approaches. One recently developed method is dynamical Variational Monte Carlo (dVMC) [1], which enables the computation of the Green's function for large systems. In this work [2] we present a generalized dVMC technique that can serve as an impurity solver in quantum cluster methods. Using this new approach we perform a systematic study of the doped t-t'-t'' Hubbard model using cluster perturbation theory with a dVMC impurity solver. We reach system sizes unattainable by exact diagonalization solvers, and find robust evidence of the existence of Fermi arcs, a result of direct relevance to the cuprate superconductors.

[1] M. Charlebois and M. Imada, Physical Review X 10, 041023 (2020).

[2] P. Rosenberg et al. arXiv:2209.08092

*This research was undertaken thanks in part to funding from the Canada First Research Excellence Fund, the Natural Sciences and Engineering Research Council (Canada) under Grant No. RGPIN-2021-04043 and RGPIN-2019-05312. P.R. was supported by a postdoctoral fellowship from Institut quantique. Computing resources were provided by Compute Canada and Calcul Québec.

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Publication: P. Rosenberg et al. arXiv:2209.08092

Presenters

  • Peter Rosenberg

    • Université de Sherbrooke
    • University of Sherbrooke

Authors

  • Peter Rosenberg

    • Université de Sherbrooke
    • University of Sherbrooke

  • David Sénéchal

    • Universite de Sherbrooke

  • André-Marie S Tremblay

    • Université de Sherbrooke
    • Université de Sherbrooke, RQMP & Institut Quantique

  • Maxime Charlebois

    • Université du Québec à Trois-Rivières