140 citations · 884 across the 35 of their papers we have counts for
38 papers
The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3
P. Butera, M. Pernici
Expansions through the 24th order at high-temperature and up to 11th order at low-temperature are derived for the main observables of the Blume-Capel model on bipartite lattices (s…
Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension
P. Butera, M. Pernici
We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension , through the 13th or…
Positivity of the virial coefficients in lattice dimer models and upper bounds on the number of matchings on graphs
P. Butera, P. Federbush, M. Pernici
Using a relation between the virial expansion coefficients of the pressure and the entropy expansion coefficients in the case of the monomer-dimer model on infinite regular lattice…
Sums of permanental minors using Grassmann algebra
P. Butera, M. Pernici
We show that a formalism proposed by Creutz to evaluate Grassmann integrals provides an algorithm of complexity to compute the generating function for the sum of the p…
Higher order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices
Paolo Butera, Paul Federbush, Mario Pernici
Recently an expansion as a power series in 1/d has been presented for the specific entropy of a complete dimer covering of a d-dimensional hypercubic lattice. This paper extends fr…
The two-dimensional 4-state Potts model in a magnetic field
Bertrand Berche, Paolo Butera, Lev Shchur
We present a solution of the non-linear renormalization group equations leading to the dominant and subdominant singular behaviours of physical quantities (free energy density, cor…