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cond-mat.stat-mech2008★ 14 cited
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…
cond-mat.stat-mech1998
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.…
cond-mat.stat-mech1997
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…