352 citations · 5.8k across the 155 of their papers we have counts for
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Universality of the Hall conductivity in interacting electron systems
Alessandro Giuliani, Vieri Mastropietro, Marcello Porta
We prove the quantization of the Hall conductivity for general weakly interacting gapped fermionic systems on two-dimensional periodic lattices. The proof is based on fermionic clu…
A Pfaffian formula for monomer-dimer partition functions
Alessandro Giuliani, Ian Jauslin, Elliott H. Lieb
We consider the monomer-dimer partition function on arbitrary finite planar graphs and arbitrary monomer and dimer weights, with the restriction that the only non-zero monomer weig…
Periodic striped ground states in Ising models with competing interactions
Alessandro Giuliani, Robert Seiringer
We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let be the ratio bet…
The ground state construction of bilayer graphene
Alessandro Giuliani, Ian Jauslin
We consider a model of half-filled bilayer graphene, in which the three dominant Slonczewski-Weiss-McClure hopping parameters are retained, in the presence of short range interacti…
Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization
Leonardo De Carlo, Guido Gentile, Alessandro Giuliani
We consider a three-dimensional chaotic system consisting of the suspension of Arnold's cat map coupled with a clock via a weak dissipative interaction. We show that the coupled sy…