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Non-quantized square-root topological insulators: a realization in photonic Aharonov-Bohm cages
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Topological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized non-local property commonly manifests through exotic bulk phenomena and corresponding robust boundary effects. In our work, we report a new type of topological insulator exhibiting spectral bands with non-quantized topological properties, but with a quantization that arises in a corresponding system where the square of the Hamiltonian is taken. We provide a thorough theoretical analysis as well as an experimental demonstration based on photonic Aharonov-Bohm cages to highlight the bulk and boundary properties of this neophyte state of matter.
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Cited by 2 Pith papers
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Spin-selective Aharonov-Casher caging in a topological quantum network
At a critical spin-orbit coupling, half-integer spins in a rhombic network are completely Aharonov-Casher caged into a few discrete energies, while integer spins remain delocalized.
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Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
The authors propose and simulate photonic realizations of the Creutz and Creutz-Hubbard ladders, predicting Aharonov-Bohm caging, doublon caging at half flux, edge states, and a synthetic-dimension implementation scheme.
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