5 papers
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…
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…
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…
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…
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…