A fermionic Quantum Monte Carlo study of Twisted Bilayer Graphene

ORAL

Abstract

We present a quantum Monte Carlo (QMC) study of twisted bilayer graphene (TBG) near the magic angle at half-filling. Due to its strongly interacting nature as well as topological obstructions for a simple lattice model, an unbiased numerical study of a continuum model of TBG has been a challenging problem. We establish the absence of the sign problem for this model and describe a computationally tractable formulation of this problem. Finally, we will present results from the QMC studies and the phase diagram on tuning physical parameters.

–

Presenters

  • Jong Yeon Lee

    • Kavli Institute of Theoretical Physics
    • Harvard University

Authors

  • Jong Yeon Lee

    • Kavli Institute of Theoretical Physics
    • Harvard University

  • Johannes Hofmann

    • Weizmann Institute of Science

  • Eslam Khalaf

    • Harvard University
    • Department of Physics, Harvard university

  • Ashvin Vishwanath

    • Harvard University
    • Department of Physics, Harvard University
    • Department of Physics and Astronomy, Harvard University
    • Department of Physics, Harvard university

  • Erez Berg

    • Weizmann Institute of Science
    • Department of Condensed Matter Physics, Weizmann Institute of Science