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19992026
most citedSecondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging

976 citations

Showing 2017 · math-phShow all

7 papers · 2 filters

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★ 3 cited

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…

math-ph2017★ 9 cited

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…

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★ 23 cited

On the spectral properties of Witten-Laplacians, their range projections and Brascamp-Lieb's inequality

Jon Johnsen

A study is made of an integral identity of Helffer and Sj{ö}strand, which for some class of probability measures yields a formula for the covariance of two functions (of a stochast…

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…

math-ph2017★ 4 cited

On the existence of impurity bound excitons in one-dimensional systems with zero range interactions

Jonas Have, Hynek Kovarik, Thomas G. Pedersen +1

We consider a three-body one-dimensional Schrödinger operator with zero range potentials, which models a positive impurity with charge interacting with an exciton. We study…