55 citations · 266 across the 15 of their papers we have counts for
14 papers · 1 filter
Purely linear response of the quantum Hall current to space-adiabatic perturbations
Giovanna Marcelli, Domenico Monaco
Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the K…
Středa formula for charge and spin currents
Domenico Monaco, Massimo Moscolari
We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the -c…
Beyond Diophantine Wannier diagrams: Gap labelling for Bloch-Landau Hamiltonians
Horia D. Cornean, Domenico Monaco, Massimo Moscolari
It is well known that, given a purely magnetic Landau Hamiltonian with a constant magnetic field which generates a magnetic flux per unit area, then any spectral islan…
Localised Wannier functions in metallic systems
Horia Cornean, David Gontier, Antoine Levitt +1
The existence and construction of exponentially localised Wannier functions for insulators is a well-studied problem. In comparison, the case of metallic systems has been much less…
Adiabatic currents for interacting electrons on a lattice
Domenico Monaco, Stefan Teufel
We prove an adiabatic theorem for general densities of observables that are sums of local terms in finite systems of interacting fermions, without periodicity assumptions on the Ha…
Chern and Fu-Kane-Mele invariants as topological obstructions
Domenico Monaco
The use of topological invariants to describe geometric phases of quantum matter has become an essential tool in modern solid state physics. The first instance of this paradigmatic…
Parseval frames of exponentially localized magnetic Wannier functions
Horia D. Cornean, Domenico Monaco, Massimo Moscolari
Motivated by the analysis of gapped periodic quantum systems in presence of a uniform magnetic field in dimension , we study the possibility to construct spanning sets of…
On the construction of Wannier functions in topological insulators: the 3D case
Horia D. Cornean, Domenico Monaco
We investigate the possibility of constructing exponentially localized composite Wannier bases, or equivalently smooth periodic Bloch frames, for 3-dimensional time-reversal symmet…
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…
Construction of real-valued localized composite Wannier functions for insulators
Domenico Fiorenza, Domenico Monaco, Gianluca Panati
We consider a real periodic Schrödinger operator and a physically relevant family of Bloch bands, separated by a gap from the rest of the spectrum, and we investigate th…
Topological invariants of eigenvalue intersections and decrease of Wannier functions in graphene
Domenico Monaco, Gianluca Panati
We investigate the asymptotic decrease of the Wannier functions for the valence and conduction band of graphene, both in the monolayer and the multilayer case. Since the decrease o…