Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N10: Twisted Bilayer Heterostructures
11:30 AM–2:30 PM,
Wednesday, March 6, 2024
Room: M100A
Sponsoring
Unit:
DCMP
Chair: Guangxin Ni, Florida State University
Abstract: N10.00009 : Extended critical phase in quasiperiodic quantum Hall systems*
1:06 PM–1:18 PM
Presenter:
Jonas F Karcher
(Pennsylvania State University)
Authors:
Jonas F Karcher
(Pennsylvania State University)
Romain Vasseur
(University of Massachusetts Amherst)
Sarang Gopalakrishnan
(Princeton University)
We consider the effects of quasiperiodic spatial modulation on the quantum Hall plateau transition, by analyzing the Chalker-Coddington network model for the integer quantum Hall transition with quasiperiodically modulated link phases. In the conventional case (uncorrelated random phases), there is a critical point separating topologically distinct integer quantum Hall insulators. Surprisingly, the quasiperiodic version of the model supports an extended critical phase for some angles of modulation. We characterize this critical phase and the transitions between critical and insulating phases. For quasiperiodic potentials with two incommensurate wavelengths, the transitions we find are in a different universality class from the random transition. Upon adding more wavelengths they undergo a crossover to the uncorrelated random case. We expect our results to be relevant to the quantum Hall phases of twisted bilayer graphene or other Moiré systems with large unit cells.
*Jonas Karcher is supported by the Army Research Office under the MURI program, grant number W911NF-22-2-0103. We acknowledge support from NSF DMR-2103938 (S.G.), DMR-2104141 (R.V.) and the Alfred P. Sloan Foundation through Sloan Research Fellowships (R.V.) .
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