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Quantum Monte Carlo Simulations for 2D Moiré Flat Bands

ORAL

Abstract

We report a study about moiré flat bands superconductor by projecting Coulomb repulsion and phenomenological attraction onto flat bands. Exact solution at flat band limit and Quantum Mento Carlo (QMC) results for finite band width are shown. With the development of fermion sign bounds theory for QMC, we show the polynomial decay of sign problem in chiral flat band twisted bilayer graphene at integer fillings so that finite temperature characters are ready to study in this limit with affordable sign problem.

Publication: 1. X Zhang, K Sun, H Li, G Pan, ZY Meng - arXiv preprint arXiv:2111.10018, 2021<br>2. X Zhang, G Pan, XY Xu, ZY Meng - Physical Review B, 2022<br>3. In preparation

Presenters

  • Xu Zhang

    The University of Hong Kong

Authors

  • Xu Zhang

    The University of Hong Kong

  • Kai Sun

    University of Michigan

  • Zi Yang Meng

    HKU, Department of Physics, Pokfulam Road, Hong Kong, The University of Hong Kong, Hong Kong University

  • Gaopei Pan

    Institute of Physics, Chinese Academy of Sciences

  • Heqiu Li

    University of Toronto

  • Xiao Yan Xu

    Shanghai Jiao Tong University

  • Bin Bin Chen

    The University of Hong Kong