Relevance of recursive lattice approximations for description of frustrated magnetic systems: Star kagome-like recursive lattice approximation

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
We introduce and investigate in detail thermodynamic properties of the antiferromagnetic
spin-1∕ 2 Ising model with the multisite interaction in the presence of the external magnetic …

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 …

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 …

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 …

Applicability of effective field theory cluster approximations for investigation of geometrically frustrated magnetic systems: Antiferromagnetic model on kagome lattice

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
We investigate the antiferromagnetic spin-1∕ 2 Ising model in the presence of the external
magnetic field on the geometrically frustrated kagome lattice using the effective field theory …

Interaction-generated frustration in the ferromagnetic spin system on the kagome lattice: Exact analysis on the star kagomelike recursive lattice

E Jurčišinová, M Jurčišin - Physical Review E, 2021 - APS
Frustration effects caused by the presence of the six-site interaction in the ferromagnetic spin-
1/2 Ising system on the kagome lattice are investigated in detail using the star kagomelike …

Antiferromagnetic geometric frustration under the influence of the next-nearest-neighbor interaction. An exactly solvable model

E Jurčišinová, M Jurčišin - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
The influence of the next-nearest-neighbor interaction on the properties of the geometrically
frustrated antiferromagnetic systems is investigated in the framework of the exactly solvable …

Presence or absence of order by disorder in a highly frustrated region of the spin-1/2 Ising-Heisenberg model on triangulated Husimi lattices

J Strečka, C Ekiz - Physical Review E, 2015 - APS
The geometrically frustrated spin-1/2 Ising-Heisenberg model on triangulated Husimi lattices
is exactly solved by combining the generalized star-triangle transformation with the method …

A Comparison of Thermal and Magnetic Behaviors in Triangular, Square and Pentagonal Husimi-Like Structures: Monte Carlo Simulations

Z Fadil, A Mhirech, B Kabouchi, L Bahmad… - Spin, 2021 - World Scientific
In this work, Monte Carlo simulations have been performed to investigate the magnetic
properties and thermal behavior of different Husimi-like structures: triangular, square and …

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 …