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math-ph2024
A space-adiabatic approach for bulk-defect correspondences in lattice models of topological insulators
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
In space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we e…
math-ph2024
A spectral localizer approach to strong topological invariants in the mobility gap regime
Tom Stoiber
Topological phases of gapped one-particle Hamiltonians with (anti)-unitary symmetries are classified by strong topological invariants according to the Altland-Zirnbauer table. Thos…
math-ph2024★ 2 cited
C*-framework for higher-order bulk-boundary correspondences
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
A typical crystal is a finite piece of a material which may be invariant under some point symmetry group. If it is a so-called intrinsic higher-order topological insulator or super…