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Mean-Field and Monte Carlo Study of a Mixed Ferro-Ferrimagnetic Ternary Alloy

100%
Dely J., Bobák A., Horváth D.
Acta Physica Polonica A
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2008
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vol. 113
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issue 1
461-464
EN
We present a study of the magnetic properties of a mixed ferro-ferrimag-netic ternary alloy of the type AB_p C_{1-p} on a cubic lattice consisting of three different Ising spins S_A =3/2, S_B = 2, and S_C = 5/2. We employ the mean-field approximation and Monte Carlo simulation to find the compensation temperatures of the system for selected values of the parameters in the model Hamiltonian. In particular, the relation between considered mixed ferro-ferrimagnetic model and magnetic properties of the ternary metal Prussian blue analog such as (Fe_p^{II}Mn_{1-p}^{II})_1.5 [Cr^{III}(CN)_6] · nH_2O is discussed.
2
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Magnetization and Susceptibility of a Diluted Triangular Ising Antiferromagnet in a Field

100%
Borovský M., Žukovič M., Bobák A.
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vol. 126
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issue 1
16-17
EN
Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility, on the geometrically frustrated triangular lattice Ising antiferromagnet. Behavior of these quantities is presented in the temperature-field parameter space for selected mild degrees of dilution. It is found that, besides the anomalies associated with phase transitions from the ferrimagnetic to the paramagnetic state, in certain regions of the parameter space these functions display some more anomalies and peculiarities, as a result of joint effects of the geometrical frustration, magnetic dilution, thermal fluctuations and the applied magnetic field.
3
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Ordering in Triangular Lattice Ising Antiferromagnet Due to Dilution and Magnetic Field

100%
Žukovič M., Borovský M., Bobák A.
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issue 5
740-741
EN
We study effects of an external magnetic field and random site dilution on the magnetic ordering in the geometrically frustrated triangular lattice Ising antiferromagnet by the use of an effective-field theory with correlations. In particular, we find that already a small amount of the quenched dilution locally relieves the frustration which in the presence of the external field is manifested by multiple splitting of a broad frustration-induced 1/3 magnetization plateau. Depending on the field strength, the dilution can either decrease or increase the magnetization or even change its effect from decreasing to increasing.
4
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Low-Temperature Properties of Ising Antiferromagnet on a Stacked Triangular Lattice

100%
Žukovič M., Mižišin L., Bobák A.
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vol. 126
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issue 1
40-41
EN
An Ising antiferromagnet on a stacked triangular lattice in zero field is studied by Monte Carlo simulations, focusing on the character of the low-temperature phase and the effect of the relative strength of the exchange interaction in the stacking direction α. Our results support the presence of the 3D Wannier phase, with the sublattice magnetization structure (m, -m, 0) and power-law decaying m with the lattice size. The extent of this low-temperature phase shrinks with decreasing α, however, it appears even at very low values if it is accessed from higher temperatures by sufficiently slow cooling.
5
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Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice

88%
Bobák A., Lučivjanský T., Žukovič M., Borovský M., Balcerzak T.
Acta Physica Polonica A
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2017
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vol. 131
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issue 4
636-638
EN
We study effects of the next-next-nearest-neighbour antiferromagnetic (J₃ < 0) interaction on critical properties (or phase diagram) of the frustrated spin-½ J₁-J₂-J₃ Ising antiferromagnet on the honeycomb lattice by using the effective-field theory with correlations. Beside the ground-state energy, we find that there is a region of J₃ < 0 in which the frustrated honeycomb lattice antiferromagnet exhibits a tricritical point, at which the phase transition changes from the second order to the first one on the line between Néel antiferromagnetic and paramagnetic phases.
6
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Exact Diagonalization Study of an Extended Hubbard Model for a Cubic Cluster at Quarter Filling

88%
Szałowski K., Balcerzak T., Jaščur M., Bobák A., Žukovič M.
Acta Physica Polonica A
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2017
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vol. 131
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issue 4
1012-1014
EN
In the paper the thermodynamics of a cubic cluster with 8 sites at quarter filling is characterized by means of exact diagonalization technique. Particular emphasis is put on the behaviour of such response functions as specific heat and magnetic susceptibility. The system is modelled with extended Hubbard model which includes electron hopping between both first and second nearest neighbours as well as Coulombic interactions, both on-site and between nearest-neighbour sites. The importance of hopping between second nearest neighbours and Coulombic interactions between nearest neighbours for the temperature dependences of thermodynamic response functions is analysed. In particular, the predictions of the Schottky model are compared with the calculations based on the full energy spectrum.
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