2023
DOI: 10.1021/acs.nanolett.3c00275
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Chiral Decomposition of Twisted Graphene Multilayers with Arbitrary Stacking

Abstract: We formulate the chiral decomposition rules that govern the electronic structure of a broad family of twisted N + M multilayer graphene configurations that combine arbitrary stacking order and a mutual twist. We show that at the magic angle in the chiral limit the low-energy bands of such systems are composed of chiral pseudospin doublets that are energetically entangled with two flat bands per valley induced by the moirésuperlattice potential. The analytic construction is supported by explicit numerical calc… Show more

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Cited by 13 publications
(4 citation statements)
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“…Apart from strong correlations in twisted graphene heterobilayer superlattices, an infinite class of multilayer graphene systems has been theoretically predicted to harbour flat bands at specific magic angles [74,75,[116][117][118][119][120][121]. These systems are known as alternating twisted multilayer graphene since the relative twists between two neighbouring layers have the same magnitude, but alternate in sign (figure 5(e)).…”
Section: Twisted Multilayer Graphenementioning
confidence: 99%
“…Apart from strong correlations in twisted graphene heterobilayer superlattices, an infinite class of multilayer graphene systems has been theoretically predicted to harbour flat bands at specific magic angles [74,75,[116][117][118][119][120][121]. These systems are known as alternating twisted multilayer graphene since the relative twists between two neighbouring layers have the same magnitude, but alternate in sign (figure 5(e)).…”
Section: Twisted Multilayer Graphenementioning
confidence: 99%
“…14−16 The latter breaks the material limitations that principally any materials, organic or inorganic, conductor, semiconductor, or even insulator can be effective candidates. It brings about opportunities of converting achiral photodetective materials into chiral counterparts by various methods such as CPL irradiation, 17,18 templating, 19,20 grazing angle deposition, 21−24 laser direct writing, 25 electron beam lithography, 15,26 chiral molecule induced nanocrystal synthesis, 27,28 or film growth. 29−31 Among the chiral candidates, inorganic semiconducting materials may have a tunable band structure, higher carrier mobility, and good stability, making them suitable for building high-performance CPL photodetectors.…”
Section: Introductionmentioning
confidence: 99%
“…These materials could be chiral molecules, chiral polymers, or crystals with structures of chiral space groups, e.g., chiral perovskites. The other is to build the chiral layer from intrinsically achiral structured materials by constructing the chiral shape, pattern, morphology, or assembly in the feature size from nanometer to micrometer scales. The latter breaks the material limitations that principally any materials, organic or inorganic, conductor, semiconductor, or even insulator can be effective candidates. It brings about opportunities of converting achiral photodetective materials into chiral counterparts by various methods such as CPL irradiation, , templating, , grazing angle deposition, laser direct writing, electron beam lithography, , chiral molecule induced nanocrystal synthesis, , or film growth. Among the chiral candidates, inorganic semiconducting materials may have a tunable band structure, higher carrier mobility, and good stability, making them suitable for building high-performance CPL photodetectors. , …”
Section: Introductionmentioning
confidence: 99%
“…The interacting effects in such systems are under persistent theoretical investigation [47][48][49]. Other twisted graphene multilayer systems were discussed theoretically [50][51][52][53][54][55] and realized experimentally [56][57][58] where similar interacting effects were discovered.…”
Section: Introductionmentioning
confidence: 99%