Frustration and Kinetic Magnetism in a Fermi-Hubbard Quantum Simulator

ORAL

Abstract

We report on recent experimental quantum simulations of strongly correlated materials with ultracold fermions, revealing emergent magnetic states in a Hubbard model with tunable geometric frustration and doping. Using an optical lattice that transitions from a square to a triangular geometry, we observe the transformation of a Néel antiferromagnet into a short-range 120° spiral state at half-filling due to frustration. Beyond half-filling, antiferromagnetic correlations strengthen with hole dopants but intriguingly reverse to ferromagnetic with particle dopants. By measuring three-point dopant-spin-spin correlations, we uncover the emergence of ferromagnetic polarons, offering the first cold-atom observation of Nagaoka ferromagnetism. Our work provides insights into kinetic magnetism, akin to observations in twisted TMD bilayers, and opens new avenues for exploring dopant pairing mediated by frustration.

Publication: M. Lebrat, M. Xu, et al, Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator, arXiv:2308.12269
M. Xu, et al, Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator, Nature 620, 971-976 (2023)

Presenters

  • Martin Lebrat

    • Harvard University

Authors

  • Martin Lebrat

    • Harvard University
  • Muqing Xu

    • Harvard University
  • Lev H Kendrick

    • Harvard University
  • Anant Kale

    • Harvard University
  • Youqi Gang

    • Harvard University
  • Geoffrey Ji

    • Harvard University
  • Richard T Scalettar

    • University of California, Davis
  • Pranav Seetharaman

    • San Jose State University
  • Ivan Morera

    • Universitat de Barcelona
    • University of Barcelona
  • Ehsan Khatami

    • San Jose State University
  • Eugene Demler

    • ETH Zurich
  • Markus Greiner

    • Harvard University