Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Ciftja, Orion; Prenga, Dodë

doi:10.1016/j.jmmm.2016.04.070

Cited by 9 publications

(6 citation statements)

References 22 publications

(23 reference statements)

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“…In principle, the opinion values in ( 2) can be calculated by using statistical physics methodology. For easiness of the reading we are presenting the calculation steps, which despite present notation are like the calculation in [21] or [22] , with some modification due to the utility form 𝐹𝑂 and according to [21] or [22] this transformation rends the calculation realizable analytically. Utility (2) takes the form;…”

Section: The 1d Chain Q-xy Modelmentioning

confidence: 99%

“…88 represented as a 2D unit-length vector, 𝑆 ⃗ = (𝑆 𝑥 , 𝑆 𝑦 ) and is free to point along any direction on the 2D plane. Recently, the studies for XY magnet properties have known significant increase due to the direct application for the study of ferromagnetism in the layers of some compounds as K2CuF4, Rb2CrCl4, or CoCl2 intercalated in graphite for structures as Gd2CuO4 [YBa2Cu3O6+x], layered compound BaCo2(AsO4), the intermolecular magnetic some specific dimers molecule [21] and many others. In the modelling for those applications, the individual magnetic spins were taken units vector by rescaling them by the factor ℏ√𝑆(𝑆 + 1) , By limiting the interaction to the first neighbours in the lattice, the coupling constant J also is rescaled to ±1 , where the signs + is taken for ferromagnetic and (-) for antiferromagnetic.…”

Section: Introductionmentioning

confidence: 99%

“…Next by using the N-delta Dirac function proposed in [22,23] the thermodynamical quantities have been evaluated for various XY structures. Specifically, a full development of this calculation based on Equation 2 is presented in Ciftja & Prenga (2016) [21].…”

Section: Introductionmentioning

confidence: 99%

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General Features of the q-XY Opinion Model

Prenga

2020

J. Hum. Earth Future

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In this article, we discuss general properties of the q-opinion model which is based on the extension of the XY magnet model. After considering a short briefing of our recently introduced q-XY model and providing the general statistical mechanics calculation for it, we analyzed specifics and application for the of the 2-node chain. The model is capable to interpret some particular features of the opinion in a couple including shifting behavior, losing interest on a given issue for specific opinion microstates etc. We proposed to use this model in a manded version of the preferential attachment rule for link establishment in a social network. Doi: 10.28991/HEF-2020-01-02-05 Full Text: PDF

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Section: The 1d Chain Q-xy Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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General Features of the q-XY Opinion Model

Prenga

2020

J. Hum. Earth Future

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“…In absence of an exact solution of the 3D Ising spin model, researchers have utilized various numerical methods such as the classical Monte Carlo (MC) simulation method to study this system as well as other related magnetic structures. [8][9][10][11][12] In these simulation methods, spins are typically treated as classical vectors of fixed length (unit vectors). While still localized at given lattice sites, spins are allowed to rotate in space within the framework of the classical Heisenberg model.…”

Section: Introductionmentioning

confidence: 99%

A quantum simulation approach for a three-dimensional Ising spin model—Comparison to mean field theory

Liu

Ciftja

2017

AIP Advances

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We use a recently developed quantum simulation approach to study the properties of a three-dimensional Ising model consisting of S = 1/2 quantum spins localized at the sites of a simple cubic lattice. We assume nearest-neighbor interaction between spins with an exchange interaction that can be either ferromagnetic or antiferromagnetic. It is found that the computational method quickly converges towards the expected equilibrium spin configurations. The resulting spontaneous magnetization curves corresponding to the two types of magnetic interactions under consideration were found to be almost identical to the ones obtained via quantum mean field theory at all temperatures. The derived total energies, total free energies, magnetic entropies and specific heats per mole of spins show no sizeable differences from known theoretical values. Furthermore, the results of the simulations for two different 3D Ising systems containing 4×4×4 and 20×20×20 spins localized at the sites of a simple cubic lattice were found to be almost identical to each other. This finding suggests that the self-consistent algorithm approach of the current simulation method allows one to obtain the physical bulk properties of a large magnetic system by relying on simulations of a much smaller spin system sample. Therefore, the method presently considered appears to be not only very accurate as gauged by comparison to mean field theory, but also able to greatly increase the speed of simulations.

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“…The results of the critical properties of frustrated quasi two dimensional XY like antiferromagnet were reported [20]. The magnetic properties of classical XY spin dimer in planar magnetic field were studied recently [21]. All the studies mentioned in this paragraph deal mainly with the equilibrium properties of XY model.The nonequilibrium critical dynamics in XY model was also studied [22].…”

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confidence: 99%

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

Acharyya

2018

Phase Transitions

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The dynamical responses of XY ferromagnet driven by linearly polarised propagating and standing magnetic field wave have been studied by Monte Carlo simulation in three dimensions. In the case of propagating magnetic field wave (with specified amplitude, frequency and the wavelength), the low temperature dynamical mode is a propagating spin wave and the system becomes structureless (or random) in the high temperature. A dynamical symmetry breaking phase transition is observed at a finite (nonzero) temperature. This symmetry breaking is confirmed by studying the statistical distribution of the angle of the spin vector. The dynamic nonequilibrium transition temperature was found to decrease as the amplitude of the propagating magnetic field wave increased. A comprehensive phase boundary is drawn in the plane formed by temperature and amplitude of propagating field wave. The phase boundary was observed to shrink (in the low temperature side) for longer wavelength of the propagating magnetic wave. In the case of standing magnetic field wave, the low temperature excitation is a standing spin wave which becomes structureless (or random) in the high temperature. Here also, like the case of propagating magnetic wave, a dynamical symmetry breaking nonequilibrium phase transition was observed. A comprehensive phase boundary was drawn. Unlike the case of propagating magnetic wave, the phase boundary does not show any systematic variation with the wavelength of the standing magnetic field wave. In the limit of vanishingly small amplitude of the field, the phase boundaries approach the recent Monte Carlo estimate of equilibrium transition temperature. I. Introduction:The nonequilibrium responses of Ising ferromagnet to an oscillating (in time but uniform over the space) magnetic field is an interesting field of modern research [1,2]. The nonequilibrium phase transition is one major focus of the investigation. Some important studies may be reported below. The existence of the growth of correlation near the transition was reported [3]. The bulk and surface critical behaviours were studied recently[4] and those are found to belong to different universality class. The anomalous metamagnetic fluctuations near the transition were studied recently [5]. This study was supported by Monte Carlo simulation [6]. Experimentally, a notable transient behaviour was found [7], in the uniaxial cobalt film, for the time period of the field which is faster than a critical time. This is related to the the existence of first order transition. All these studies, mentioned above, are signatures of the current interest in the field of nonequilibrium responses of ferromagnets driven by time varying external magnetic field.One common and important feature of the above mentioned studies, is the time dependence of the external magnetic field, which keeps the system far away from the equilibrium. However, recently the interests have been taken in the case, where the driving magnetic field has both spatial and temporal variations. This spatio-temporal vari...

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Magnetic properties of a classical XY spin dimer in a “planar” magnetic field

Cited by 9 publications

References 22 publications

General Features of the q-XY Opinion Model

General Features of the q-XY Opinion Model

A quantum simulation approach for a three-dimensional Ising spin model—Comparison to mean field theory

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

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