WebAug 1, 2024 · @Tengen In general, the flat band is not associated with non-trivial Chern number. For example, the Kagome flat band has no Chern number, and in fact the Chern number is not even well-defined due to the gapless character at the band touching point. For the gapped flat bands, many of them do have non-trivial Chern numbers, but I do … WebAug 22, 2024 · In the presence of short-range repulsion, we find fractional Chern insulators emerge at filling factors $\nu=1/m$, whose ground states are generalized Laughlin wavefunctions. We further argue that generalized Wigner crystals may emerge at certain commensurate fillings under a highly nonuniform magnetic field in the form of a flux line …
[1912.11469] Chern bands of twisted bilayer graphene: fractional …
WebAug 7, 2024 · Flat Chern Band From Twisted Bilayer MnBi. Te. Biao Lian, Zhaochen Liu, Yuanbo Zhang, Jing Wang. We construct a continuum model for the Moiré superlattice of … WebFigure: (a) The Haldane honeycomb (HH) model [25], an example of an FCI. (b) The band structure of the HH model, with parameters chosen to generate an extremely flat lowest band. Band Geometry Fractional Chern Insulators and the W∞ algebra. The basic theoretical puzzle posed by FCIs is to provide a microscopic description of their physics. driveway geotextile fabric
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WebMar 8, 2013 · Flat Chern band in a two-dimensional organometallic framework Phys Rev Lett. 2013 Mar 8;110 (10):106804. doi: 10.1103/PhysRevLett.110.106804. Epub 2013 … Web2 days ago · An unusual topological quantum phase transition induced by the on-site Coulomb interaction brings a nearly flat band with a nonzero Chern number as the highest occupied band. With this analysis we ... WebNov 1, 2013 · Abstract. We present a pedagogical review of the physics of fractional Chern insulators with a particular focus on the connection to the fractional quantum Hall effect. While the latter conventionally arises in semiconductor heterostructures at low temperatures and in high magnetic fields, interacting Chern insulators at fractional band filling ... driveway gate with wheels