Continuum model of the twisted graphene bilayer

By J. L. D. Lopes Dos Santos, N. M. R. Peres, A. C. Castro Neto. 2012

471 citations recorded by the source corpus.

J.M.B.L.S. was supported by Fundacao para a Ciencia e a Tecnologia (FCT) and is thankful for the hospitality of Boston University and of National University of Singapore. N.M.R.P. was supported by Fundos FEDER through the Programa Operacional Factores de Competitividade-COMPETE and by FCT under Project No. PEst-C/FIS/UI0607/2011, and is thankful for the hospitality of Boston University. A.H.C.N. acknowledges DOE Grant No. DE-FG02-08ER46512, ONR Grant No. MURI N00014-09-1-1063, and the NRF-CRP award "Novel 2D materials with tailored properties: beyond graphene" (R-144-000-295-281).

Subfields: Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/109cdbeb19a714efab4a8d08b85cee40f1ca8d57

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Citations in the corpus

Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene (2018, background): “However, because of the approximate sublattice symmetry at small twist angles [31], we can introduce an additional Z2 symmetry g∶cRξ → c−R;−ξ, which combines twofold rotation in real space and a chirality flip in orbital space.”
Novel effects of strains in graphene and other two dimensional materials (2015, background): “It has been shown, however, that for a small value of the graphene lattice constant a over the interlayer distance d, incommensurability and exact commensurability yield the same observable electronic properties.[81] It is then legitimate to approximate any system with a/d→ 0 as a commensurate struc”
Electronic properties of graphene-based bilayer systems (2015, methodology): “An analysis of the spectrum for the commensurate structures with r = 1 shows that, as we explained above, all different structures are almost periodic repetitions of the structures with r = 1 [367].”
Theory of zero-field superconducting diode effect in twisted trilayer graphene (2021, unknown): “To describe the three layers, l = 1 , 2 , 3, of graphene with alternating twist angle, we will employ the three-layer generalization of the commonly used continuum model of twisted-bilayer graphene [27–29], where the magic angle occurs at around 1.58 ◦ .”