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- W2095889849 abstract "A remarkable discovery in recent years is that there exist various kinds of topological insulators and superconductors characterized by a periodic table according to the system symmetry and dimensionality. To physically realize these peculiar phases and study their properties, a critical step is to construct experimentally relevant Hamiltonians that support these topological phases. We propose a general and systematic method based on the quaternion algebra to construct the tight-binding Hamiltonians for all the three-dimensional topological phases in the periodic table characterized by arbitrary integer topological invariants, which include the spin-singlet and the spin-triplet topological superconductors, the Hopf, and the chiral topological insulators as particular examples. For each class, we calculate the corresponding topological invariants through both geometric analysis and numerical simulation." @default.
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- W2095889849 date "2014-02-20" @default.
- W2095889849 modified "2023-10-16" @default.
- W2095889849 title "Systematic construction of tight-binding Hamiltonians for topological insulators and superconductors" @default.
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- W2095889849 doi "https://doi.org/10.1103/physrevb.89.075126" @default.
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