Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session A46: Fractional Quantum Hall Effect I
8:00 AM–11:00 AM,
Monday, March 15, 2021
Sponsoring
Unit:
DCMP
Chair: Jie Wang, Flatiron Institute
Abstract: A46.00014 : Extraction of many-body Chern number from a single wave function*
10:36 AM–10:48 AM
Live
Presenter:
Hossein Dehghani
(University of Maryland, College Park)
Authors:
Hossein Dehghani
(University of Maryland, College Park)
ZePei Cian
(University of Maryland, College Park)
Mohammad Hafezi
(University of Maryland, College Park)
Maissam Barkeshli
(University of Maryland, College Park)
For FQH states, our method requires one additional integer invariant as input: the number of $2\pi$ flux quanta, $s$, that must be inserted to obtain a topologically trivial excitation. As we discuss, $s$ can be obtained in principle from the degenerate set of ground state wave functions on the torus, without knowledge of the Hamiltonian.
We perform extensive numerical simulations involving IQH and FQH states to validate these methods.
*AFOSR FA9550-16-1-0323, FA9550-18-10161, ARO W911NF-15-1-0397, Google AI. NSF PHY-1748958, NSF CAREER (DMR- 1753240), Alfred P. Sloan Research Fellowship.
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