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20132021
most citedOptimal decay of Wannier functions in Chern and Quantum Hall insulators

55 citations · 266 across the 15 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

math-ph2017★ 5 cited

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…

math-ph2017★ 35 cited

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…

math-ph2017★ 15 cited

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…

math-ph2017★ 13 cited

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…

math-ph2017★ 12 cited

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…