55 citations · 266 across the 15 of their papers we have counts for
5 papers · 1 filter
The Localization Dichotomy for gapped periodic quantum systems
D. Monaco, G. Panati, A. Pisante +1
We investigate the localization properties of gapped periodic quantum systems, modeled by a periodic or covariant family of projectors, as e.g. the orthogonal projectors on the occ…
Optimal decay of Wannier functions in Chern and Quantum Hall insulators
D. Monaco, G. Panati, A. Pisante +1
We investigate the localization properties of independent electrons in a periodic background, possibly including a periodic magnetic field, as e.g. in Chern insulators and in Quant…
Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-Mele
Domenico Monaco, Clément Tauber
We establish a connection between two recently-proposed approaches to the understanding of the geometric origin of the Fu-Kane-Mele invariant , arisi…
Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators
Horia D. Cornean, Domenico Monaco, Stefan Teufel
We provide a constructive proof of exponentially localized Wannier functions and related Bloch frames in 1- and 2-dimensional time-reversal symmetric (TRS) topological insulators.…
Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry
Domenico Monaco, Gianluca Panati
We describe some applications of group- and bundle-theoretic methods in solid state physics, showing how symmetries lead to a proof of the localization of electrons in gapped cryst…