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DY: Fachverband Dynamik und Statistische Physik
DY 5: Many-body Systems: Equilibration, Chaos and Localization I (joint session DY/TT)
DY 5.5: Vortrag
Montag, 16. März 2020, 11:15–11:30, HÜL 186
Moire Localization in Two Dimensional Quasi-Periodic Systems — •Biao Huang1,2 and W Vincent Liu1 — 1University of Pittsburgh — 2Max Planck Institute for the Physics of Complex Systems
Moire reconstructions of Bloch waves have led to exciting development recently, where bilayer systems with small twist angles produce new periodic structures including the flat-band induced superconductivity. Here, we point out that an incommensurate, large twist angle, realized in a recent bilayer graphene experiment, may imply a qualitatively new localized system. This includes a rapidly changing mobility edge with respect to energy distinguishing from quasi-periodic systems in 1D and 3D, and scaling exponents saturating the Harris bound formulated for a purely random system in the localization transition. Methods for engineering and signatures for detections in cold atom simulations are also discussed.
Ref: B. Huang and W. V. Liu, Phys. Rev. B 100, 144202 (2019).