Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations

ORAL

Abstract

We investigate the minus-sign problem that afflicts quantum Monte Carlo (QMC) simulations of frustrated quantum spin systems, focusing on spin S=1/2, two spatial dimensions, and the extended Shastry-Sutherland model. We show that formulating the Hamiltonian in the diagonal dimer basis leads to a sign problem that becomes negligible at low temperatures for small and intermediate values of the ratio of the inter- and intra-dimer couplings. This is a consequence of the fact that the product state of dimer singlets is the exact ground state both of the extended Shastry-Sutherland model and of a corresponding sign-problem-free model. We map the sign problem throughout the extended parameter space from the Shastry-Sutherland to the fully frustrated bilayer model and compare it with the phase diagram computed by tensor-network methods. We use QMC to compute with high accuracy the temperature dependence of the magnetic specific heat and susceptibility of the Shastry-Sutherland model for large systems up to a coupling ratio of 0.526(1) and down to low temperature.

Presenters

  • Andreas Honecker

    • Universite de Cergy-Pontoise
    • Laboratoire de Physique Théorique et Modélisation, Cergy-Pontoise University
    • Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise

Authors

  • Andreas Honecker

    • Universite de Cergy-Pontoise
    • Laboratoire de Physique Théorique et Modélisation, Cergy-Pontoise University
    • Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise
  • Ido Niesen

    • Institute for Theoretical Physics, University of Amsterdam
  • Jonas Stapmanns

    • RWTH Aachen University
    • Institut für Theoretische Festkörperphysik, RWTH Aachen University
  • Bruce Normand

    • Paul Scherrer Institute, Switzerland
    • Paul Scherrer Institute
    • Neutrons and Muons Research Division, Paul Scherrer Institute
    • Paul Scherer Institute, Vilingen
    • Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
  • Frederic Mila

    • EPFL Lausanne
    • Institute of Theoretical Physics, Ecole Polytechnique Fédérale Lausanne (EPFL)
    • Institute of Physics, École Polytechnique Fédérale de Lausanne
    • Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)
  • Philippe Corboz

    • University of Amsterdam
    • Institute for Theoretical Physics, University of Amsterdam
    • Institute for Theoretical Physics and Delta Institute for Theoretical Physics, Universiteit van Amsterdam
  • Stefan Wessel

    • Institut für Theoretische Festkörperphysik, RWTH Aachen University
    • RWTH Aachen University
    • Institute for Theoretical Solid State Physics, RWTH Aachen University