Topological insulators on a Mobius Strip
arXiv:1107.1411 · doi:10.1103/PhysRevB.84.193106
Abstract
We study the two dimensional Chern insulator and spin Hall insulator on a non-orientable Riemann surface, the Mobius strip, where the usual bandstructure topological invariant is not defined. We show that while the flow pattern of edge currents can detect the twist of the Mobius strip in the case of Chern insulator, it can not do so in spin Hall insulator.
4 pages, 6 figures
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- Möbius Strip Microlasers: a Testbed for Non-Euclidean Photonics
- Nontrivial topological states on a Möbius band
- Chern Insulators on Singular Geometries
- Topological Floquet states on a Möbius band irradiated by circularly polarised light
- Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
- Berry phases and zero-modes in toroidal topological insulator
- Coherent States, Superpositions of Coherent States and Uncertainty Relations on a Möbius Strip
- Topology-induced symmetry breaking demonstrated in antiferromagnetic magnons on a Möbius strip
- Entanglement And Non-Trivial Topologies
- Dynamics of 2D topological quadrupole insulator and Chern insulator induced by real-space topological changes