352 citations · 5.8k across the 155 of their papers we have counts for
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Order, disorder and phase transitions in quantum many body systems
Alessandro Giuliani
In this paper, I give an overview of some selected results in quantum many body theory, lying at the interface between mathematical quantum statistical mechanics and condensed matt…
Haldane relation for interacting dimers
Alessandro Giuliani, Vieri Mastropietro, Fabio Lucio Toninelli
We consider a model of weakly interacting, close-packed, dimers on the two-dimensional square lattice. In a previous paper, we computed both the multipoint dimer correlations, whic…
Height fluctuations in non-integrable classical dimers
Alessandro Giuliani, Vieri Mastropietro, Fabio Lucio Toninelli
We rigorously establish the asymptotic equivalence between the height function of interacting dimers on the square lattice and the massless Gaussian free field. Our theorem explain…
Columnar Phase in Quantum Dimer Models
Alessandro Giuliani, Elliott H. Lieb
The quantum dimer model, relevant for short-range resonant valence bond physics, is rigorously shown to have long range order in a crystalline phase in the attractive case at low t…
Validity of spin wave theory for the quantum Heisenberg model
Michele Correggi, Alessandro Giuliani, Robert Seiringer
Spin wave theory is a key ingredient in our comprehension of quantum spin systems, and is used successfully for understanding a wide range of magnetic phenomena, including magnon c…
Realization of stripes and slabs in two and three dimensions
Alessandro Giuliani, Elliott H. Lieb, Robert Seiringer
We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long range, power law decaying, antiferromagnetic interactions. If the str…