Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session G21: Magic Angle Twisted Graphene II
11:30 AM–2:18 PM,
Tuesday, March 7, 2023
Room: Room 213
Sponsoring
Unit:
DCMP
Chair: Adarsh Patri, Massachusetts Institute of Technology
Abstract: G21.00012 : The effect of interaction and electron fillings in twisted bilayer graphene: an auxiliary-field quantum Monte Carlo study*
1:42 PM–1:54 PM
Presenter:
Zhi-Yu Xiao
(William & Mary)
Authors:
Zhi-Yu Xiao
(William & Mary)
Shiwei Zhang
(Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010, USA)
Twisted bilayer graphene (TBG) near the magic angle provides a rich and fascinating platform for studying electron correlation effects. We investigate a many-body model Hamiltonian which consists of the single-particle model of Bistritzer and MacDonald (BM) [1] and realistic electron-electron Coulomb interactions, employing a state-of-the-art auxiliary-field quantum Monte Carlo (AFQMC) method [2]. The BM model gives a momentum-space continuum description of the most relevant topological flat bands. Our AFQMC approach allows accurate treatment of the many-body Hamiltonian while controlling the sign problem. We determine the ground-state properties of this model across different integer fillings and quantify the errors from mean-field theory calculations.
[1] R. Bistritzer and A. H. MacDonald, Moire bands in twisted double-layer graphene, Proceedings of the National Academy of Sciences 108, 12233 (2011).
[2]S. Zhang and H. Krakauer, Quantum monte carlo method using phase-free random walks with slater determinants, Phys. Rev. Lett. 90, 136401 (2003).
*This work is supported by the Simons Foundation and the many-electron collaboration. Computing was carried out at the computational facilities at Flatiron Institute. The Flatiron Institute is a division of the Simons Foundation.
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