42 citations · 622 across the 80 of their papers we have counts for
7 papers · 2 filters
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…
Peierls' substitution for low lying spectral energy windows
Horia D. Cornean, Bernard Helffer, Radu Purice
We consider a magnetic Schrödinger operator perturbed by a weak magnetic field which slowly varies around a positive mean. In a previous paper we proved the appearance of a `L…
A mathematical account of the NEGF formalism
H. D. Cornean, V. Moldoveanu, C. -A. Pillet
The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium Green's Function (NEGF) transport formalism for open systems. In particular, we de…
Spectral gaps in graphene antidot lattices
Jean-Marie Barbaroux, Horia Cornean, Edgardo Stockmeyer
We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning…
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…