42 citations · 622 across the 80 of their papers we have counts for
85 papers
Magnetic Weyl Super Calculus: Schatten-class properties, commutator criterion, and complete positivity
Horia D. Cornean, Mikkel H. Thorn
We combine our previous results on magnetic pseudo-differential operators for Hörmander symbols dominated by tempered weights [arXiv:2511.07184] with the magnetic Weyl super calcul…
Universality of the Hall conductivity for a weakly interacting magnetic fermionic gas in the Hartree-Fock approximation
Horia D. Cornean, Emanuela Laura Giacomelli, Domenico Monaco +1
We consider a two-dimensional gas of interacting fermions in presence of an external constant magnetic field: the system is extended and homogeneous, and thus assumed to be invaria…
On the directional growth of the resolvent norm
Horia Cornean, Henrik Garde, Arne Jensen
Let be a closed densely defined operator on a separable Hilbert space . Assume the resolvent set is non-empty. For let denote the str…
A fresh look at the Peierls-Onsager substitution
Horia D. Cornean, Bernard Helffer, Radu Purice
We formulate a general version of the Peierls-Onsager substitution for a finite family of Bloch eigenvalues under a local spectral gap hypothesis, via strongly localized tight-fram…
The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators
Horia D. Cornean, Bernard Helffer, Radu Purice
We study the structure of the fibre operators corresponding to periodic magnetic pseudo-differential operators having periodic magnetic potentials. We obtain explicit formulas for…
Green's functions for magnetic Dirac operators and bulk-edge correspondence
Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust +2
We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excludin…