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math-ph2026
Absolute and relative invariants for low-dimensional topological insulators
Federico Manzoni, Domenico Monaco, Gabriele Peluso
[An extended abstract is provided in-text] Motivated by topological insulators, this paper analyzes classification schemes for projection-valued maps on -dimensional tori, $d \l…
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…
quant-ph2026
Zak phase and bulk-boundary correspondence in a generalized Dirac-Kronig-Penney model
Giuliano Angelone, Domenico Monaco, Gabriele Peluso
We investigate the topological properties of a generalized Dirac--Kronig--Penney model, a continuum one-dimensional model for a relativistic quantum chain. By tuning the coupling p…