Numerical evidence for a many-body localization transition in two dimensions

ORAL

Abstract

We use the stochastic series expansion quantum Monte Carlo method, together with the eigenstate-to-Hamiltonian mapping approach, to probe the many-body localization transition in the two dimensional spin-half Heisenberg model with magnetic disorder. We establish the localised nature of the ground state by studying the spin stiffness, local entanglement entropy, and local magnetization. By mapping the ground state of this parent Hamiltonian to excited states of target Hamiltonians, we determine the many-body localized regime in an energy-resolved phase diagram. Our study presents concrete numerical evidence for the existence of a many-body localized phase in two dimensions.

*This work is supported by the Singapore Ministry of Education AcRF Tier 2 grant (MOE2017-T2-1-130).

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Presenters

  • Nyayabanta Swain

    • School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

Authors

  • Nyayabanta Swain

    • School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

  • Ho-Kin Tang

    • Centre for Advanced 2D Materials, National University of Singapore

  • Brian Khor

    • Centre for Advanced 2D Materials, National University of Singapore

  • Fakher Assaad

    • Institut f\"ur Theoretische Physik und Astrophysik, University of Wurzburg
    • University of Wurzburg
    • Institute for Theoretical Physics and Astrophysics, University of Wurzburg

  • Shaffique Adam

    • Natl Univ of Singapore
    • Centre for Advanced 2D Materials, National University of Singapore

  • Pinaki Sengupta

    • School of Physical and Mathematical Sciences, Nanyang Technological University
    • School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore