Hybrid Wannier Chern bands in magic angle twisted bilayer graphene and the quantized anomalous Hall effect

We propose a method for studying the strong interaction regimes in twisted bilayer graphene using hybrid Wannier functions that are Wannier-like one direction and Bloch-like other. focus on active bands as given by continuum model proposed Bistritzer MacDonald, [Proc. Natl. Acad. Sci. 108, 12233 (2011)] discuss properties of corresponding functions. then employ study fillings ±3 electrons per moiré cell Hartree-Fock method. at length different under which quantized anomalous Hall effect is seen these two fillings.Received 30 June 2020Revised 12 February 2021Accepted 16 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013242Published American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution to author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasChern insulatorsElectronic structureQuantum effectPhysical SystemsGrapheneTwo-dimensional electron gasTechniquesWannier function methodsCondensed Matter, Materials & Applied Physics