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math-ph2022★ 16 cited
Bulk-interface correspondences for one dimensional topological materials with inversion symmetry
Guo Chuan Thiang, Hai Zhang
The interface between two materials described by spectrally gapped Hamiltonians is expected to host an in-gap interface mode, whenever a certain topological invariant changes acros…
math-ph2022★ 10 cited
Large-scale geometry obstructs localization
Matthias Ludewig, Guo Chuan Thiang
We explain the coarse geometric origin of the fact that certain spectral subspaces of topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an ort…
math-ph2022★ 6 cited
Delocalized spectra of Landau operators on helical surfaces
Yosuke Kubota, Matthias Ludewig, Guo Chuan Thiang
On a flat surface, the Landau operator, or quantum Hall Hamiltonian, has spectrum a discrete set of infinitely degenerate Landau levels. We consider surfaces with asymptotically co…