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math-ph2026
The Zak phase in topologically insulating chains: invariants and limitations
Federico Manzoni, Domenico Monaco, Gabriele Peluso
In this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/o…
math-ph2025
Splitting obstructions and invariants in time-reversal symmetric topological insulators
Alessandro Ferreri, Domenico Monaco, Gabriele Peluso
The Fu-Kane-Mele index characterizes two-dimensional time-reversal symmetric topological phases of matter. We shed some light on some features of this index by inves…
math-ph2025
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems
Marius Wesle, Giovanna Marcelli, Tadahiro Miyao +2
We consider an infinitely extended system of fermions on a -dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system…