The first order phase transitions in the multisite spin-1/2 model on a pure Husimi lattice

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
We investigate the multisite spin-1/2 Ising-like model in the presence of the external
magnetic field on the pure Husimi lattice with three sites in the elementary polygon (p= 3) …

Exact results for the spin-1 Ising model on pure “square” Husimi lattices: Critical temperatures and spontaneous magnetization

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
We investigate the second order phase transitions of the ferromagnetic spin-1 Ising model
on pure Husimi lattices built up from elementary squares with arbitrary values of the …

[HTML][HTML] First order phase transitions in the antiferromagnetic Ising model on a pure Husimi lattice

E Jurčišinová, M Jurčišin, A Bobák - Physics Letters A, 2014 - Elsevier
Abstract The antiferromagnetic spin-1/2 Ising model on the pure Husimi lattice with three
sites in the elementary polygon (p= 3) and the coordination number z= 6 is investigated …

The exact solution of the anti-ferromagnetic Ising model with multisite interaction on the simplest pure Husimi lattice

E Jurčišinová, M Jurčišin, A Bobák - Journal of Statistical Physics, 2014 - Springer
We investigate the anti-ferromagnetic spin-1/2 1/2 Ising model with the presence of the
multisite interaction on the pure Husimi lattice with three sites in the elementary polygon (p …

[HTML][HTML] The second order phase transitions of the spin-1 Ising model on pure Husimi lattices with elementary triangles: Exact results

E Jurčišinová, M Jurčišin - Physics Letters A, 2015 - Elsevier
We investigate the second order phase transitions of the ferromagnetic spin-1 Ising model
on pure Husimi lattices built up from elementary triangles with arbitrary values of the …

The anti-ferromagnetic Ising model on the simplest pure Husimi lattice: An exact solution

E Jurčišinová, M Jurčišin, A Bobák - Physics Letters A, 2013 - Elsevier
Abstract The anti-ferromagnetic spin-1/2 Ising model on the pure Husimi lattice with three
sites in the elementary polygon (p= 3) and the coordination number z= 4 is investigated. It …

Geometric frustration effects in the spin-1 antiferromagnetic Ising model on the kagome-like recursive lattice: exact results

E Jurčišinová, M Jurčišin - Journal of Statistical Mechanics …, 2016 - iopscience.iop.org
The antiferromagnetic spin-1 Ising model is studied on the Husimi lattice constructed from
elementary triangles with coordination number z= 4. It is found that the model has a unique …

Mixed-spin Ising model with four-spin interaction

A Lipowski - Physica A: Statistical Mechanics and its Applications, 1998 - Elsevier
We show that the mixed-spin Ising model with four-spin interaction on the union jack
(centered square) lattice is equivalent to the eight-vertex model. In certain subspaces of …

Evidence for the ferromagnetic frustration in a classical spin-1∕ 2 system with multisite interaction in external magnetic field: Exact results

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2017 - Elsevier
We investigate the influence of the multisite interaction among sites within elementary
triangles of the kagome-like recursive lattice on the properties of the classical spin-1∕ 2 …

Solution of the antiferromagnetic Ising model on a tetrahedron recursive lattice

E Jurčišinová, M Jurčišin - Physical Review E, 2014 - APS
We consider the antiferromagnetic spin-1/2 Ising model on the recursive tetrahedron lattice
on which two elementary tetrahedrons are connected at each site. The model represents the …