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TT: Fachverband Tiefe Temperaturen
TT 28: Twisted Bilayer Graphene (joint session TT/HL)
TT 28.7: Vortrag
Dienstag, 17. März 2020, 15:30–15:45, HSZ 201
Kernel Polynomial Method applied to Twisted Bilayer Graphene — Van-Nam Do1, Duy Nguyen Van1, Anh Le Hoang1, and •Dario Bercioux2,3 — 1Phenikaa Institute for Advanced Study (PIAS), C1 Building, Phenikaa University, Hanoi 10000, Vietnam — 2Donostia International Physics Center (DIPC), Paseo Manuel de Lardizbal 4, E-20018 San Sebastián, Spain — 3IKERBASQUE, Basque Foundation of Science, 48011 Bilbao, Spain
We apply the Kernel Polynomial Method (KPM) [1] for investigating various spectral properties of twisted bilayer graphene. Contrary to standard methods based on Bloch’s theorem, with the use of the KPM we can investigate twisted bilayer graphene with any twist angle, commensurate and incommensurate [2]. We show how within the KPM it is possible to study the evolution of a state, initially localized on one of the layers, to the other one. The resulting oscillating behaviour resembles Fabry-Pérot-like oscillations. We show that the characteristic transfer time between the two layers has a minimal dependence on the twist angle [3]. We further show how the chiral structure of twisted bilayer graphene allows for a finite transverse optical Hall conductivity even in the absence of external magnetic fields [4].
[1] Weiße et al., Rev. Mod. Phys. 78, 275 (2006).
[2] H. A. Le & V. N. Do, Phys. Rev. B 97, 125136 (2018).
[3] H. Nam Do, H. Anh Le, & D. Bercioux, Phys. Rev. B 99, 165127 (2019).
[4] V. Nam Do, H. Anh Le, V. Duy Nguyen, S. Ta Ho & D. Bercioux in preparation.