13 citations · 61 across the 10 of their papers we have counts for
11 papers
On the magnetic perturbation theory for Chern insulators
Horia D. Cornean, Massimo Moscolari
The gauge covariant magnetic perturbation theory is tailored for one-body Schrödinger operators perturbed by long-range magnetic fields. In this work we present a self-contained ex…
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches
Paul Hege, Massimo Moscolari, Stefan Teufel
We show how the spectrum of normal discrete short-range infinite-volume operators can be approximated with two-sided error control using only data from finite-sized local patches.…
Equality of magnetization and edge current for interacting lattice fermions at positive temperature
Jonas Lampart, Massimo Moscolari, Stefan Teufel +1
We prove that the magnetization is equal to the edge current in the thermodynamic limit for a large class of models of lattice fermions with finite-range interactions satisfying lo…
From decay of correlations to locality and stability of the Gibbs state
Ángela Capel, Massimo Moscolari, Stefan Teufel +1
We show that whenever the Gibbs state of a quantum spin system satisfies decay of correlations, then it is stable, in the sense that local perturbations affect the Gibbs state only…
Bulk-edge correspondence for unbounded Dirac-Landau operators
Horia D. Cornean, Massimo Moscolari, Kasper S. Sørensen
We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use t…
Finding spectral gaps in quasicrystals
Paul Hege, Massimo Moscolari, Stefan Teufel
We present an algorithm for reliably and systematically proving the existence of spectral gaps in Hamiltonians with quasicrystalline order, based on numerical calculations on finit…
Regularity properties of bulk and edge current densities at positive temperature
Massimo Moscolari, Benjamin B. Støttrup
We consider magnetic Schrödinger operators describing a quantum Hall effect setup both in the plane and in the half-plane. First, we study the structure and smoothness of the opera…
From orbital magnetism to bulk-edge correspondence
Horia D. Cornean, Massimo Moscolari, Stefan Teufel
By extending the gauge covariant magnetic perturbation theory to operators defined on half-planes, we prove that for random ergodic magnetic Schrödinger operators, the zero-te…
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…
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…