352 citations · 5.8k across the 155 of their papers we have counts for
33 papers · 1 filter
Response functions of many-body condensed matter systems
Marcello Porta, Vieri Mastropietro, Alessandro Giuliani
We discuss rigorous results about the response functions of gapped and gapless interacting fermionic lattice models, relevant for the study of transport in condensed matter physics…
Low temperature asymptotic expansion for classical vector models
Alessandro Giuliani, Sébastien Ott
We consider classical vector models in dimension three and higher and investigate the nature of the low-temperature expansions for their multipoint spin correlations. We pro…
Upper bound for the ground state energy of a dilute Bose gas of hard spheres
Giulia Basti, Serena Cenatiempo, Alessandro Giuliani +3
We consider a gas of bosons interacting through a hard-sphere potential with radius in the thermodynamic limit. We derive a simple upper bound for the ground state energ…
Periodic striped states in Ising models with dipolar interactions
Davide Fermi, Alessandro Giuliani
We review the problem of determining the ground states of 2D Ising models with nearest neighbor ferromagnetic and dipolar interactions, and prove a new result supporting the conjec…
Scaling limits and universality of Ising and dimer models
Alessandro Giuliani
After having introduced the notion of universality in statistical mechanics and its importance for our comprehension of the macroscopic behavior of interacting systems, I review re…
Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
In this paper, meant as a companion to arXiv:2006.04458, we consider a class of non-integrable Ising models in cylindrical domains, and we discuss two key aspects of the multi…