Theory of moiré Hofstadter's butterfly in magic-angle graphene

Lecturer
  • dr. Maciej Bieniek
Place
main lecture hall
Main building Na Slovance site
Event language
English
Affiliation
Institute of Theoretical Physics, Wrocław University of Science and Technology
Date
11/28/2023, 15:00–16:00

Abstract:

Moiré materials are intriguing physical systems where novel effects arise thanks to the high tunability of these structures, making them promising candidates for quantum simulators. In the following talk I will present results [1] for the magic angle twisted bilayer graphene obtained using  an ab initio based multi-million atom tight-binding model. We study this system in nanoribbon geometry, obtain the moiré Hofstadter spectrum and identify the in-gap Chern numbers. Subsequently, we examine the Wannier diagrams corresponding to the insulating states at charge neutrality. We establish the presence of three types of electronic states: moiré, mixed, and conventional and study their electronic properties.

[1] A. Wania Rodrigues, M. Bieniek, P. Potasz, D. Miravet, R. Thomale, M. Korkusiński, P. Hawrylak, "Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene", arXiv: 2311.12740