Phase diagram of a diluted triangular lattice Ising antiferromagnet in a field

Žukovič, M.; Borovský, M.; Bobák, A.

doi:10.1016/j.physleta.2010.08.041

Cited by 21 publications

(35 citation statements)

References 35 publications

(55 reference statements)

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“…At lower temperatures, there is another phase transition in the AF plane to a different ferrimagnetic state with two sublattices aligned and one anti-aligned with the spins in the ferromagnetically ordered FM plane. This state resembles the ferrimagnetic arrangement of the TLIA model in moderate external magnetic fields [25][26][27][28]. The latter are believed to belong to the standard two-dimensional three-state ferromagnetic Potts universality class and the present results suggest that also the low-temperature phase transition in the present model belongs to same universality class.…”

Section: Discussionsupporting

confidence: 72%

Critical behavior of a triangular lattice Ising AF/FM bilayer

Žukovič

Bobák

2016

Physics Letters A

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We study a bilayer Ising spin system consisting of antiferromagnetic (AF) and ferromagnetic (FM) triangular planes, coupled by ferromagnetic exchange interaction, by standard Monte Carlo and parallel tempering methods. The AF/FM bilayer is found to display the critical behavior completely different from both the single FM and AF constituents as well as the FM/FM and AF/AF bilayers. Namely, by finite-size scaling (FSS) analysis we identify at the same temperature a standard Ising transition from the paramagnetic to FM state in the FM plane that induces a ferrimagnetic state with a finite net magnetic moment in the AF plane. At lower temperatures there is another phase transition, that takes place only in the AF plane, to different ferrimagnetic state with spins on two sublattices pointing parallel and on one sublattice antiparallel to the spins on the FM plane. FSS indicates that the corresponding critical exponents are close to the two-dimensional threestate ferromagnetic Potts model values.

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Section: Discussionsupporting

confidence: 72%

Critical behavior of a triangular lattice Ising AF/FM bilayer

Žukovič

Bobák

2016

Physics Letters A

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“…The ground state (GS) of this fully frustrated system is highly degenerate with non-vanishing entropy density of 0.32306 [1,2], which results in lack of long-range ordering at any finite temperature [1,2,4]. Nevertheless, the presence of an external magnetic field can partially lift this degeneracy and the system can show a ferrimagnetic long-range order manifested by a magnetization plateau at one third of the saturation value [5][6][7][8]. At the saturation field there is another substantial increase in the entropy due to the situation in which a large number of non-interacting spins are free to reorient at no energy cost [9].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic and magnetocaloric properties of geometrically frustrated Ising nanoclusters

Žukovič

2015

Journal of Magnetism and Magnetic Materials

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Thermodynamic and magnetocaloric properties of geometrically frustrated Ising spin clusters of selected shapes and sizes are studied by exact enumeration. In the ground state the magnetization and the entropy show step-wise variations with an applied magnetic field. The number of steps, their widths and heights depend on the cluster shape and size. While the character of the magnetization plateau heights is always increasing, the entropy is not necessarily decreasing function of the field, as one would expect. For selected clusters showing some interesting ground-state properties, the calculations are extended to finite temperatures by exact enumeration of densities of states in the energy-magnetization space. In zero field the focus is laid on a peculiar behavior of some thermodynamic quantities, such as the entropy, the specific heat and the magnetic susceptibility. In finite fields various thermodynamic functions are studied in the temperature-field parameter plane and particular attention is paid to the cases showing an enhanced magnetocaloric effect. The exact results on the finite clusters are compared with the thermodynamic limit behavior obtained from Monte Carlo simulations.

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“…This approach is based on the differential operator technique introduced into exact Ising spin identities and has been successfully applied to a variety o f spin-\ and higher spin problem s (for a review see, e.g.. Ref. [16]) including a geom etrically frustrated triangular lattice Ising AF [17][18][19]. It is im portant that the present effective-field theory allows us to treat large clusters in a sim pler and more efficient com putational manner.…”

Section: Introductionmentioning

confidence: 99%

Phase transitions in a frustrated Ising antiferromagnet on a square lattice

et al. 2015

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The phase transitions occurring in the frustrated Ising square antiferromagnet with first- (J1<0) and second-nearest-neighbor (J2<0) interactions are studied within the framework of the effective-field theory with correlations based on the different cluster sizes and for a wide range of R=J2/|J1|. Despite the simplicity of the model, it has proved difficult to precisely determine the order of the phase transitions. In contrast to the previous effective-field study, we have found a first-order transition line in the region close to R=-0.5 not only between the superantiferromagnetic and paramagnetic (R<-0.5) but also between antiferromagnetic and paramagnetic (R>-0.5) phases.

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Phase diagram of a diluted triangular lattice Ising antiferromagnet in a field

Cited by 21 publications

References 35 publications

Critical behavior of a triangular lattice Ising AF/FM bilayer

Critical behavior of a triangular lattice Ising AF/FM bilayer

Thermodynamic and magnetocaloric properties of geometrically frustrated Ising nanoclusters

Phase transitions in a frustrated Ising antiferromagnet on a square lattice

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