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Incomplete Localization for Disordered Chiral Strips
Jacob Shapiro
We prove that a disordered analog of the Su-Schrieffer-Heeger model exhibits dynamical localization (i.e. the fractional moments condition) at all energies except possibly zero ene…
Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
Eli Fonseca, Jacob Shapiro, Ahmed Sheta +2
We study spinful non-interacting electrons moving in two-dimensional materials which exhibit a spectral gap about the Fermi energy as well as time-reversal invariance. Using Fredho…
The Topology of Mobility-Gapped Insulators
Jacob Shapiro
Studying deterministic operators, we define an appropriate topology on the space of mobility-gapped insulators such that topological invariants are continuous maps into discrete sp…
Strongly Disordered Floquet Topological Systems
Jacob Shapiro, Clément Tauber
We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum…