Tensor network studies of SrCu<sub>2</sub>(BO<sub>3</sub>)<sub>2</sub> under pressure and in a magnetic field

ORAL  · Invited

Abstract

The frustrated quantum antiferromagnet SrCu2(BO3)2, which is effectively described by the Shastry-Sutherland model, exhibits a very rich phase diagram as a function of pressure and magnetic field, including an intriguing sequence of magnetization plateaus, several supersolid phases, a finite-temperature critical point, and more. However, its numerical study is very challenging because large parts of the phase diagram are inaccessible by Quantum Monte Carlo due to the negative sign problem. In this talk I will report on recent progress in the accurate study of this model using infinite projected entangled-pair states (iPEPS), a tensor network ansatz to represent states in the 2D thermodynamic limit, and show how it helped to shed new light on the fascinating properties of SrCu2(BO3)2. Based on a recent extension of iPEPS to layered systems, we find that the inclusion of an interlayer coupling leads to a better agreement between experiments and theory regarding the extent of the intermediate plaquette phase.

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Publication: [1] J. L. Jiménez, S. P. G. Crone, E. Fogh, M. E. Zayed, R. Lortz, E. Pomjakushina, K. Conder, A. M. Läuchli, L. Weber, S. Wessel, A. Honecker, B. Normand, C. Rüegg, P. Corboz, H. M. Rønnow, and F. Mila, Nature 592, 370 (2021)
[2] Z. Shi, S. Dissanayake, P. Corboz, W. Steinhardt, D. Graf, D. M. Silevitch, H. A. Dabkowska, T. F. Rosenbaum, F. Mila, and S. Haravifard, Nat Commun 13, 1 (2022).
[3] T. Nomura, P. Corboz, A. Miyata, S. Zherlitsyn, Y. Ishii, Y. Kohama, Y. Matsuda, A. Ikeda, C. Zhong, H. Kageyama, F. Mila, Nat Commun 14, 1 (2023).
[4] P. Vlaar and P. Corboz, SciPost Physics 15, 126 (2023).

Presenters

  • Philippe R Corboz

    • University of Amsterdam

Authors

  • Philippe R Corboz

    • University of Amsterdam

  • Patrick Vlaar

    • University of Amsterdam

  • Frederic Mila

    • Ecole Polytechnique Federale de Lausanne

  • Schelto Crone

    • University of Amsterdam

  • Bruce Normand

    • Paul Scherrer Institute

  • Andreas M Läuchli

    • Paul Scherrer Institute

  • Stefan Wessel

    • RWTH Aachen University

  • Andreas Honecker

    • Univ de Cergy-Pontoise

  • Lukas Weber

    • Center for Computational Quantum Physics, Flatiron institute

  • J. Larrea Jiménez

    • Vienna University of Technology (TU Wien)
    • Laboratory for Quantum Matter under Extreme Conditions, Institute of Physics, University of Sao Paulo
    • University of São Paulo

  • Henrik M Ronnow

    • Ecole Polytechnique Federale de Lausanne
    • EPFL

  • Christian Rüegg

    • Paul Scherrer Institute

  • Zhenzhong Shi

    • Soochow Univ

  • Sara Haravifard

    • Duke University

  • Toshihiro Nomura

    • Institute for Solid State Physics, University of Tokyo

  • Sergei Zherlitsyn

    • Dresden High Magnetic Field Lab
    • Hochfeld-Magnetlabor Dresden

  • Yoshimitsu Kohama

    • The Institute for Solid State Physics, The University of Tokyo
    • University of Tokyo
    • ISSP
    • Institute for Solid State Physics, University of Tokyo

  • Yasuhiro H Matsuda

    • University of Tokyo
    • Institute for Solid State Physics, University of Tokyo

  • Hiroshi Kageyama

    • Kyoto University