25 citations · 65 across the 16 of their papers we have counts for
13 papers · 1 filter
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…
Mesoscopic Observables of the Dilute Fermi Gas at Low Energy
Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen +1
We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy to the precision of the Huang-…
The Huang-Yang conjecture for the low-density Fermi gas
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin fermions with repulsive short-range interactions, validating a formu…
An optimal lower bound for the low density Fermi gas in three dimensions
Emanuela L. Giacomelli
We consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential in the thermodynamic limit. We…
On the Ginzburg-Landau Energy of Corners
Michele Correggi, Emanuela L. Giacomelli, Ayman Kachmar
It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance,…
An optimal upper bound for the dilute Fermi gas in three dimensions
Emanuela L. Giacomelli
In a system of interacting fermions, the correlation energy is defined as the difference between the energy of the ground state and the one of the free Fermi gas. We consider i…
Bogoliubov theory for the dilute Fermi gas in three dimensions
Emanuela L. Giacomelli
In a dilute system of N fermions with spin 1/2 in three dimensions, we study the correlation energy which is given by the difference between the ground state energy and the energy…
On Bose-Einstein condensates in the Thomas-Fermi regime
Daniele Dimonte, Emanuela L. Giacomelli
We study a system of trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form , for some and d…
A 3D-Schroedinger operator under magnetic steps with semiclassical applications
Wafaa Assaad, Emanuela L. Giacomelli
We define a Schrödinger operator on the half-space with a discontinuous magnetic field having a piecewise-constant strength and a uniform direction. Motivated by applications in th…
Almost Flat Angles in Surface Superconductivity
Michele Correggi, Emanuela L. Giacomelli
Type-II superconductivity is known to persist close to the sample surface in presence of a strong magnetic field. As a consequence, the ground state energy in the Ginzburg-Landau t…
The dilute Fermi gas via Bogoliubov theory
Marco Falconi, Emanuela L. Giacomelli, Christian Hainzl +1
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interactio…
Effects of Corners in Surface Superconductivity
Michele Correggi, Emanuela L. Giacomelli
We study the Ginzburg-Landau functional describing an extreme type-II superconductor wire with cross section with finitely many corners at the boundary. We derive the ground state…
Surface Superconductivity in Presence of Corners
M. Correggi, E. L. Giacomelli
We consider an extreme type-II superconducting wire with non-smooth cross section, i.e., with one or more corners at the boundary, in the framework of the Ginzburg-Landau theory. W…