Perturbative Solution of Fermionic Sign Problem in Lattice Quantum Monte Carlo: A Cuprate Case

ORAL

Abstract

We developed a strong coupling perturbation scheme for general Hubbard model around half-field particle-hole symmetric reference system. The approach based on a lattice determinatal Quantum Monte Carlo method in continuous and discrete time versions for a large periodic clusters in a fermionic bath. The first order perturbation in the shift of chemical potential and long-range hopping gives a reasonable accuracy for parameters corresponding to the optimally doped cuprate systems. We calculate spectral function of hole doped t-t'-U model for interaction strength equal to the band width and discuss a mechanism of the pseudogap formation. Results for standard cuprates model with U=8t=W and t'/t=-0.3 for temperatures of the order of T=0.1t show formation of the pseudo-gap and Fermi-arcs. We discuss the magnetic and superconducting instability using symmetry broken external fields.

* M.I.K. and A.I.L. was supported by by European Research Council via Synergy Grant 854843 - FASTCORR.This work used Expanse at SDSC through allocation DMR130036 from the Extreme Science and Engineering Discovery Environment (XSEDE), which was supported by National Science Foundation grant number 1548562.

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Presenters

  • Alexander I Lichtenstein

    University of Hamburg, Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany

Authors

  • Alexander I Lichtenstein

    University of Hamburg, Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany

  • Sergey Iskakov

    Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA

  • Evgenу A Stepanov

    CPHT, CNRS, Ecole polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France

  • Mikhail I Katsnelson

    Radboud University Nijmegen, Radboud University, Radboud University, Institute for Molecules and Materials, 6525AJ Nijmegen, The Netherlands