Closing the gaps in our understanding of the pseudogap

 · Invited

Abstract

In this talk, I will review recent theoretical progress in understanding the pseudogap phenomenon in the two-dimensional Hubbard model, in relation to hole-doped cuprate superconductors. I will show that two independent computational methods (cluster extensions of dynamical mean-field theory, and lattice diagrammatic Monte Carlo) yield quantitatively consistent results. These two methods indicate that short-range antiferromagnetic correlations are responsible for the opening of the pseudogap in the strong-coupling regime. The Fermi surface is strongly modified by interactions, and a pseudogap only opens when this surface is hole-like. For small to moderate ratios of t’/t, the collapse of the pseudogap is found to coincide with the Lifshitz transition of the Fermi surface from hole-like to electron-like, in agreement with experimental observations. These findings can be rationalized within an SU(2) gauge theory of a metal with short-range fluctuating antiferromagnetic order, in which topological order is responsible for the reconstruction of the Fermi surface into pockets.

References: Wei Wu et al. Phys Rev B 96, 041105R (2017); arXiv:1707.06602. M.Scheurer et al., in preparation.

*This work was supported by: the Simons Foundation Many-Electron Collaboration, the European Research Council (project ERC-319286-`QMAC'), the Swiss National Supercomputing Centre (CSCS, project s575), the NSF under Grant DMR-1664842 and MURI grant W911NF-14-1-0003 from ARO. The Flatiron Institute is supp

Presenters

  • Antoine Georges

    • CNRS, Université Paris-Saclay
    • Center for Computational Quantum Physics, Flatiron Institute - Simons Foundation
    • College de France
    • Centre de Physique Theorique, Ecole Polytechnique, CNRS, Universite Paris-Saclay
    • Center for Computational Quantum Physics, Flatiron Institute

Authors

  • Antoine Georges

    • CNRS, Université Paris-Saclay
    • Center for Computational Quantum Physics, Flatiron Institute - Simons Foundation
    • College de France
    • Centre de Physique Theorique, Ecole Polytechnique, CNRS, Universite Paris-Saclay
    • Center for Computational Quantum Physics, Flatiron Institute
  • Wei Wu

    • CPHT, Ecole Polytechnique
    • Centre de Physique Theorique, Ecole Polytechnique, CNRS, Universite Paris-Saclay
  • Michel Ferrero

    • CPHT, Ecole Polytechnique
    • Centre de Physique Theorique, Ecole Polytechnique, CNRS, Universite Paris-Saclay
  • Evgeny Kozik

    • Physics Department, King's College
    • Department of Physics, King's College London
  • Mathias Scheurer

    • Department of Physics, Harvard University
    • Physics, Harvard Univ
  • Shubhayu Chatterjee

    • Department of Physics, Harvard University
  • Subir Sachdev

    • Harvard University
    • Physics, Harvard University
    • Harvard Univ
    • Physics, Harvard Univ
    • Department of Physics, Harvard University