421 citations · 1.1k across the 30 of their papers we have counts for
31 papers
Dynamical delocalization in disordered 2D Chern insulators
Gianluca Panati, Constanza Rojas-Molina, Vincenzo Rossi
We show the existence of energies exhibiting dynamical delocalization in discrete 2D Chern insulators perturbed by a random potential in a general setting. Our proof exploits two m…
Algebraic localization of generalized Wannier bases implies Roe triviality in any dimension
Vincenzo Rossi, Gianluca Panati
With the aim of understanding the localization topology correspondence for non periodic gapped quantum systems, we investigate the relation between the existence of an algebraicall…
Ultra-generalized Wannier bases: Are they relevant to topological transport?
Massimo Moscolari, Gianluca Panati
We generalize Prodan's construction of radially localized generalized Wannier bases [E. Prodan, On the generalized Wannier functions. J. Math. Phys. 56(11), 113511 (2015)] to gappe…
Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
Giovanna Marcelli, Massimo Moscolari, Gianluca Panati
We investigate the relation between the localization of generalized Wannier bases and the topological properties of two-dimensional gapped quantum systems of independent electrons…
A new approach to transport coefficients in the quantum spin Hall effect
Giovanna Marcelli, Gianluca Panati, Stefan Teufel
We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator does not commute with the spin…
The Haldane model and its localization dichotomy
Giovanna Marcelli, Domenico Monaco, Massimo Moscolari +1
Gapped periodic quantum systems exhibit an interesting Localization Dichotomy, which emerges when one looks at the localization of the optimally localized Wannier functions associa…