69 citations · 772 across the 29 of their papers we have counts for
27 papers
Exact coefficients of finite-size corrections in the Ising model with Brascamp-Kunz boundary conditions and their relationships for strip and cylindrical geometries
Nikolay Sh. Izmailian, Ralph Kenna, Vladimir V. Papoyan
We derive exact finite-size corrections for the free energy of the Ising model on the square lattice with Brascamp-Kunz boundary conditions. We cal…
Universality and exact finite-size corrections for spanning trees on cobweb and fan networks
Nickolay Izmailian, Ralph Kenna
Universality is a cornerstone of theories of critical phenomena. It is well understood in most systems especially in the thermodynamic limit. Finite-size systems present additional…
Finite-size corrections and scaling for the dimer model on the checkerboard lattice
Nickolay Sh. Izmailian, Ming-Chya Wu, Chin-Kun Hu
Lattice models are useful for understanding behaviors of interacting complex many-body systems. The lattice dimer model has been proposed to study the adsorption of diatomic molecu…
Exact solution of the critical Ising model with special toroidal boundary conditions
Armen Poghosyan, Nickolay Izmailian, Ralph Kenna
The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpr…
Exact finite-size corrections for the spanning-tree model under different boundary conditions
Nickolay Izmailian, Ralph Kenna
We express the partition functions of the spanning tree on finite square lattices under five different sets of boundary conditions (free, cylindrical, toroidal, Möbius strip, and K…
A generalised formulation of the Laplacian approach to resistor networks
N. Sh. Izmailian, R. Kenna
An analytic approach is presented to developing exact expressions for the two-point resistance between arbitrary nodes on certain non-regular resistor networks. This generalises pr…