Dynamic hysteretic features of Ising-type thin films

Aktaş, Bahadır Ozan; Akıncı, Ümit; Polat, Hamza

doi:10.1103/physreve.90.012129

Cited by 21 publications

(10 citation statements)

References 21 publications

(41 reference statements)

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“…In recent years, DPT properties in the presence of surfaces have been studied for magnetic thin films and semiinfinite systems [35,72,[112][113][114]. Among these works, [35] have investigated the bias field dependence and the dynamic phase diagram of a ferromagnetic thin film in a (P − H b − ⟨Q⟩) plane which exhibits a phase line below P < P c separating the two degenerate ordered phases ±Q, supporting the experimental findings obtained in [36].…”

Section: Magnetic Systems With Surfacessupporting

confidence: 54%

Dynamic phase transition in classical Ising models

Yüksel¹,

Vatansever²

2021

J. Phys. D: Appl. Phys.

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When a ferromagnetic system is driven by an oscillating magnetic field, the system shows various intriguing magnetic properties. The two most common features are dynamic phase transition and dynamic hysteresis resulting from the competition between the period of the external field and the metastable lifetime of the system. In this article, we mainly review the similarities and dissimilarities between ferromagnetic systems in thermal equilibrium and those exposed to a driving time-dependent magnetic field. Extensive studies performed over two decades have shown that dynamic and thermodynamic phase transitions correspond to the same universality class and have similar phase diagrams, among other similarities. Remarkably, recent experimental studies have revealed that both fluctuations in dynamic order parameter and susceptibility can demonstrate anomalously sharp sidebands, which are known as metamagnetic anomalies, in the dynamically paramagnetic phase close to the critical point. This behavior is one of the most interesting behaviors observed in the magnetic systems driven by a time-dependent field which does not have an analog in the corresponding equilibrium counterparts. We discuss the general picture regarding the effects of the applied field components on the metamagnetic anomalies. As a main conclusion, we remark that a comprehensive literature overview reveals that the similarities between conventional thermodynamic phase transitions and corresponding dynamic counterpart are only limited to the vicinity of critical period regime with zero bias field, and they should be treated very carefully in the presence of surfaces. Finally, some of the main questions waiting to be answered and potential future research directions are underlined.

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Section: Magnetic Systems With Surfacessupporting

confidence: 54%

Dynamic phase transition in classical Ising models

Yüksel¹,

Vatansever²

2021

J. Phys. D: Appl. Phys.

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“…2. Semi-infinite Ising models and surface magnetism [176] - [181], thin magnetic films [182] - [189], magnetic bilayers and multilayers [190] - [197].…”

Section: Historical Survey and Future Perspectivesmentioning

confidence: 99%

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Strecka,

Jascur

2015

Preprint

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The present article provides a tutorial review on how to treat the Ising and Ising-like models within the mean-field, effective-field and exact methods. The mean-field approach is illustrated on four particular examples of the lattice-statistical models: the spin-1/2 Ising model in a longitudinal field, the spin-1 Blume-Capel model in a longitudinal field, the mixed-spin Ising model in a longitudinal field and the spin-S Ising model in a transverse field. The meanfield solutions of the spin-1 Blume-Capel model and the mixed-spin Ising model demonstrate a change of continuous phase transitions to discontinuous ones at a tricritical point. A continuous quantum phase transition of the spin-S Ising model driven by a transverse magnetic field is also explored within the mean-field method. The effective-field theory is elaborated within a single-and two-spin cluster approach in order to demonstrate an efficiency of this approximate method, which affords superior approximate results with respect to the mean-field results. The long-standing problem of this method concerned with a self-consistent determination of the free energy is also addressed in detail. More specifically, the effective-field theory is adapted for the spin-1/2 Ising model in a longitudinal field, the spin-S Blume-Capel model in a longitudinal field and the spin-1/2 Ising model in a transverse field. The particular attention is paid to a comprehensive analysis of tricritical point, continuous and discontinuous phase transitions of the spin-S Blume-Capel model. Exact results for the spin-1/2 Ising chain, spin-1 Blume-Capel chain and mixed-spin Ising chain in a longitudinal field are obtained using the transfer-matrix method, the crucial steps of which are also reviewed when deriving the exact solution of the spin-1/2 Ising model on a square lattice. The critical points of the spin-1/2 Ising model on several planar (square, honeycomb, triangular, kagomé, decorated honeycomb, etc.) lattices are rigorously obtained with the help of dual, star-triangle and decoration-iteration transformations. The mapping transformation technique [Continued on next page]

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“…Only very recently, several authors have studied the DPT in systems with surfaces [36][37][38][39][40][41][42][43] to shed light on this subject. Hereby, some intriguing observations have been made.…”

Section: Introductionmentioning

confidence: 99%

Nonuniversal surface behavior of dynamic phase transitions

Riego

Berger

2015

Phys. Rev. E

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We have studied the dynamic phase transition (DPT) of the kinetic Ising model in systems with surfaces within the mean-field approximation. Varying the surface exchange coupling strength J(s), the amplitude of the externally applied oscillating field h(0), and its period P, we explore the dynamic behavior of the layer-dependent magnetization and the associated DPTs. The surface phase diagram shows several features that resemble those of the equilibrium case, with an extraordinary bulk transition and a surface transition for high J(s) values, independent from the value of h(0). For low J(s), however, h(0) is found to be a crucial parameter that leads to nonuniversal surface behavior at the ordinary bulk transition point. Specifically, we observed here a bulk-supported surface DPT for high field amplitudes h(0) and correspondingly short critical periods P(c), whereas this surface transition simultaneous to the bulk one is suppressed for slow critical dynamics occurring for low values of h(0). The suppression of the DPT for low h(0) not only occurs for the topmost surface layer, but also affects a significant number of subsurface layers. We find that the key physical quantity that explains this nonuniversal behavior is the time correlation between the dynamic surface and bulk magnetizations at the bulk critical point. This time correlation has to pass a threshold value to trigger a bulk-induced DPT in the surface layers. Otherwise, dynamic phase transitions are absent at the surface in stark contrast to the equilibrium behavior of the corresponding thermodynamic Ising model. Also, we have analyzed the penetration depth of the dynamically ordered phase for the surface DPT that occurs for large J(s) values. Here we find that the penetration depth depends strongly on J(s) and behaves identically to the corresponding equilibrium Ising model.

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Dynamic hysteretic features of Ising-type thin films

Cited by 21 publications

References 21 publications

Dynamic phase transition in classical Ising models

Dynamic phase transition in classical Ising models

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Nonuniversal surface behavior of dynamic phase transitions

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