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- W4381089873 abstract "Motivated by the higher Chern bands of twisted graphene multilayers, we consider flat bands with arbitrary Chern number $C$ with ideal quantum geometry. While $C>1$ bands differ from Landau levels, we show that these bands host exact fractional Chern insulator (FCI) ground states for short range interactions. We show how to decompose ideal higher Chern bands into separate ideal bands with Chern number $1$ that are intertwined through translation and rotation symmetry. The decomposed bands admit an $SU(C)$ action that combines real space and momentum space translations. Remarkably, they also allow for analytic construction of exact many-body ground states, such as generalized quantum Hall ferromagnets and FCIs, including flavor-singlet Halperin states and Laughlin ferromagnets in the limit of short-range interactions. In this limit, the $SU(C)$ action is promoted to a symmetry on the ground state subspace. While flavor singlet states are translation symmetric, the flavor ferromagnets correspond to translation broken states and admit charged skyrmion excitations corresponding to a spatially varying density wave pattern. We confirm our analytic predictions with numerical simulations of ideal bands of twisted chiral multilayers of graphene, and discuss consequences for experimentally accessible systems such as monolayer graphene twisted relative to a Bernal bilayer." @default.
- W4381089873 created "2023-06-18" @default.
- W4381089873 creator A5006149283 @default.
- W4381089873 creator A5013386996 @default.
- W4381089873 creator A5034171340 @default.
- W4381089873 creator A5043780039 @default.
- W4381089873 creator A5087537469 @default.
- W4381089873 date "2023-06-16" @default.
- W4381089873 modified "2023-10-06" @default.
- W4381089873 title "Many-body ground states from decomposition of ideal higher Chern bands: Applications to chirally twisted graphene multilayers" @default.
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