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• W2107089964 abstract "Three-dimensional (3D) topological insulators in general need to be protected by certain kinds of symmetries other than the presumed $U(1)$ charge conservation. A peculiar exception is the Hopf insulators which are 3D topological insulators characterized by an integer Hopf index. To demonstrate the existence and physical relevance of the Hopf insulators, we construct a class of tight-binding model Hamiltonians which realize all kinds of Hopf insulators with arbitrary integer Hopf index. These Hopf insulator phases have topologically protected surface states and we numerically demonstrate the robustness of these topologically protected states under general random perturbations without any symmetry other than the $U(1)$ charge conservation that is implicit in all kinds of topological insulators." @default.
• W2107089964 created "2016-06-24" @default.
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• W2107089964 date "2013-11-15" @default.
• W2107089964 modified "2023-10-16" @default.
• W2107089964 title "Hopf insulators and their topologically protected surface states" @default.
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• W2107089964 doi "https://doi.org/10.1103/physrevb.88.201105" @default.
• W2107089964 hasPublicationYear "2013" @default.
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