22 citations · 47 across the 5 of their papers we have counts for
5 papers
Geometrical aspects of the Z-invariant Ising model
Ruben Costa-Santos
We discuss a geometrical interpretation of the Z-invariant Ising model in terms of isoradial embeddings of planar lattices. The Z-invariant Ising model can be defined on an arbitra…
The Ising model on curved lattices
Ruben Costa-Santos
We review recent results concerning finite size corrections to the Ising model free energy on lattices with non-trivial topology and curvature. From conformal field theory consider…
Logarithmic corrections to the Ising model free energy on lattices with conical singularities
Ruben Costa-Santos
The free energy of a two-dimensional system at criticality has in general an universal part proportional the logarithm of the system size. This term was shown by Cardy and Peschel…
Finite size corrections for the Ising model on higher genus triangular lattices
Ruben Costa-Santos, Barry M. McCoy
We study the topology dependence of finite size corrections to the Ising model partition function by considering the model on a triangular lattice embedded on a genus two surface.…
Dimers and the Critical Ising Model on Lattices of genus>1
Ruben Costa-Santos, Barry M. McCoy
We study the partition function of both Close-Packed Dimers and the Critical Ising Model on a square lattice embedded on a genus two surface. Using numerical and analytical methods…