6 papers
High Flux Asymptotics and Critical Phenomena for the Magnetic Laplacian
Emanuela L. Giacomelli, Ayman Kachmar, Mikael Sundqvist
We study the lowest eigenvalue of the Neumann magnetic Laplacian in a planar domain divided into two regions, with piecewise constant magnetic fields that may scale differently in…
The Huang-Yang formula for the low-density Fermi gas: upper bound
Emanuela L. Giacomelli, Christian Hainzl, Phan Thà nh Nam +1
We study the ground state energy of a gas of spin fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density , with the Huang-…
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…
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…
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 Thà nh 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…