14 citations · 29 across the 8 of their papers we have counts for
8 papers
Fermions and Disorder in Ising and Related Models in Two Dimensions
V. N. Plechko
The aspects of phase transitions in the two-dimensional Ising models modified by quenched and annealed site disorder are discussed in the framework of fermionic approach based on t…
Alternative description of the 2D Blume-Capel model using Grassmann algebra
Maxime Clusel, Jean-Yves Fortin, Vladimir N. Plechko
We use Grassmann algebra to study the phase transition in the two-dimensional ferromagnetic Blume-Capel model from a fermionic point of view. This model presents a phase diagram wi…
Free Fermions and Two-Dimensional Ising Model
V. N. Plechko
The two-dimensional Ising model is representable as a lattice free-fermion field theory in terms of the integral over anticommuting Grassmann variables. The exact solution in a zer…
Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder
V. N. Plechko
The notion of the integral over the anticommuting Grassmann variables is applied to analyze the fermionic structure of the 2D Ising model with quenched site dilution. In the -re…
Fermionic Integrals and Analytic Solutions for Two-Dimensional Ising Models
V. N. Plechko
We review some aspects of the fermionic interpretation of the two-dimensional Ising model. The use is made of the notion of the integral over the anticommuting Grassmann variables.…
Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models
R. Hayn, V. N. Plechko
We discuss some aspects of a new noncombinatorial fermionic approach to the two-dimensional dimer problem in statistical mechanics based on the integration over anticommuting Grass…