5 papers · 1 filter
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram
Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco +2
We prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hof…
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…
Vanishing of power-law corrections to Kubo's formula for the Hall current at incommensurate magnetic fields
Gabriele Mazzini, Domenico Monaco
We consider a non-interacting electron gas confined to a two-dimensional crystal by the action of a perpendicular magnetic field; in the one-particle approximation, the dynamics of…
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field
Niels Benedikter, Chiara Boccato, Domenico Monaco +1
We study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show th…
Effective quantum dynamics for magnetic fermions
Margherita Ferrero, Domenico Monaco
We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of…