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Ümit Akıncı

Publications and source records attributed to Ümit Akıncı.

At least 19 recordsLinked to original sources

Spontaneous Topological Locking and Symmetry Restoration of Meron Lattices in Synthetic Antiferromagnets

Synthetic antiferromagnets offer a robust platform for stabilizing fractional topological textures, effectively circumventing the limitations of ferromagnetic systems. In this study, we utilize large-scale Monte Carlo simulations to investigate the spontaneous topological locking and structural symmetry restoration of meron-antimeron crystals within SAF bilayers subjected to easy-plane magnetic anisotropy. In the uncoupled monolayer limit, increasing anisotropy induces an extreme core-shrinking effect that physically expands the inter-core distance and triggers a $C_4 \rightarrow C_2$ symmetry breaking. However, the introduction of an ultra-weak interlayer antiferromagnetic exchange acts as an active structural scaffold. For rigid crystals, this coupling strictly enforces vertical synchronization, forming robust antiferromagnetic bimeron dipoles and fully restoring the macroscopic $C_4$ rotational symmetry. Furthermore, in highly expanded, pre-collapse crystals, we observe an anomalous interlayer-induced lattice compression that actively maximizes the exchange energy. At extreme anisotropy limits where macroscopic crystalline order irrecoverably collapses, the bilayer coupling continues to enforce a strict local topological locking of surviving isolated defects. These findings reveal a fundamental decoupling between local vertical synchronization and global structural order, providing a comprehensive theoretical roadmap for stabilizing and manipulating fractional topological textures in beyond-skyrmion spintronic architectures.

cond-mat.mtrl-sci↗

Skyrmion-Bimeron Transformation in Bilayer Chiral Magnets with Competing Magnetic Anisotropy

In this work, we investigate the emergence of topological spin textures in a ferromagnetically coupled bilayer chiral magnet by means of Monte Carlo simulations of a classical spin model including exchange interaction, Dzyaloshinskii-Moriya interaction, magnetic anisotropy, and an external magnetic field. To characterize the topology of the system, we construct a scalar chirality map in the $(K/J,h/J)$ parameter space. Our results reveal several magnetic configurations, including labyrinth structures, skyrmion lattices, ferromagnetic states, and meron-antimeron crystal phases. In particular, we show that the transition from easy-axis to easy-plane anisotropy drives a continuous transformation from skyrmion textures to bimeron-type configurations. The bilayer geometry introduces an additional stabilization mechanism, where interlayer exchange coupling correlates the topological cores in the two layers and increases the energetic cost of defect collapse. These findings provide a systematic topological texture map for bilayer chiral magnets and highlight coupled magnetic layers as a promising platform for stabilizing bimeron-type spin textures in nanoscale spintronic systems.

cond-mat.stat-mech↗

Testing the Goodwin Growth Cycles with Econophysics Approach in 2002-2019 Period in Turkey

The Turkish economy between 2002-2019 period has been investigated within the econophysical approach. From the individual income data obtained from the Household Budget Survey, the Gompertz-Pareto distribution for each year and Goodwin cycle for the mentioned period have been obtained. For this period, in which thirteen elections were held under the single-party rule, it has been observed that the income distribution fits well with the Gompertz-Pareto distribution which shows the two-class structure of the Turkish economy. The variation of the threshold value $x_t$ (which separates these two classes) as well as Pareto coefficient have been obtained. Besides, Goodwin cycle has been observed within this period, centered at $(u,v)\cong (66.30,83.40)$ and a period of $T=18.30$ years. It has been concluded that these observations are consistent with the economic and social events experienced in the mentioned period.

econ.GN↗

Magnetocaloric effect in bilayer material: Spin-S Ising model

The isothermal magnetic entropy change has been obtained for the bilayer system that consists of $S_u$ and $S_l$ valued spins in each layer. The relation between the IMEC and the spin value as well as the value of exchange interaction between two layers have been obtained. Recently experimentally given double peaks behavior for manganite bilayers has been demonstrated theoretically, and explanation is given. On the other hand, the conditions that give rise to transition from this double peak behavior to the single peak behavior have been obtained and discussed.

cond-mat.stat-mech↗

Magnetocaloric Properties of the Ising nanotube

The magneticaloric properties of the Ising nanotube constituted by arbitrary core spin values $S_c$ and the shell spin values $S_s$ have been investigated by mean field approximation. During this investigation, several quantities have been calculated, such as isothermal magnetic entropy change, full width at half maximum value and the refrigerant capacity. The variation of these quantities with the values of the spins and exchange interaction between the core and shell is determined. Besides, recently experimentally observed double peak behavior in the variation of the isothermal magnetic entropy change with the temperature is obtained for the nanotube.

cond-mat.stat-mech↗

Phase Diagrams of Generalized Spin-S Magnetic Binary Alloys

Critical properties of the generalized spin-S magnetic binary alloys represented by $A_{c}B_{1-c}$ have been investigated within the framework of EFT. By inspecting the evolution of the phase diagrams with the concentration for several spin values, general results have been obtained. Obtained results cover the results obtained for special cases in the literature. Type of the transition (first/second order), as well as the presence of the tricritical point have been determined for general spin models. It has also been shown that, the same critical concentration value exist in the system, regardless of the spin value for binary alloy consist of half integer-integer spin alloy.

cond-mat.stat-mech↗

Hysteresis Characteristics of Generalized Spin-S Magnetic Binary Alloys

In this study, hysteresis characteristics of the generalized spin-S binary alloy represented by the formula $A_c B_{1-c}$ have been investigated within the framework of effective field approximation. The binary system consists of type A (spin-S) and type B (spin-S) atoms which are randomly distributed on a honeycomb lattice. Both integer and half-integer spin models of two magnetic atom types are examined. By detailed investigation on hysteresis loops, multiple hysteresis behaviors are obtained for a given set of Hamiltonian parameters. Besides, the quantities of hysteresis characteristics as the hysteresis loop area, remanent magnetization, and coercive field have been investigated as functions of concentration.

cond-mat.stat-mech↗

Magnetocaloric properties of the binary Ising model with arbitrary spin

The magnetocaloric properties of the Ising binary alloys composed of arbitrary spin values, have been determined by using effective field theory. For determining the efficiency of the magnetocaloric effect in binary alloy, the quantities of interest such as isothermal magnetic entropy change and refrigerant capacity have been calculated for various values of spin and concentration. It is shown that, by changing the concentration we can tune the magnetocaloric performance. Also, it has been shown that greater refrigerant capacity can be obtained for intermediate concentration values, in comparison with the limiting concentration values.

cond-mat.stat-mech↗

Magnetic properties of the multi-walled nanotubes constituted by localized magnetic moments: spin-1/2 case

Magnetic properties of the multi-walled nanotubes have been investigated. Heisenberg model, which is a suitable model for the system consist of atoms with localized wave functions has been used. Effective field theory in two spin cluster for spin-1/2 has been numerically solved and critical properties such as phase diagrams as well as the behavior of the order parameter and hysteresis loops obtained.

cond-mat.stat-mech↗

Hysteresis Behaviors of the Binary Ising Model

Hysteresis behaviors of the binary alloy system represented by the formula $A_c B_{1-c}$ have been investigated within the framework of EFT. The system consists of type A atoms (spin-$1$) with concentration $c$ and type B atoms (spin-$1/2$) with concentration $1-c$. After giving the phase diagrams, we focused on the different type of hysteresis behaviors in the system. Especially, the mechanisms giving rise to double hysteresis behavior have been explained, which appear at large negative values of the crystal field and low temperatures. It has been observed that binary alloy system could exhibit DH behavior in region $0<c<0.557$. Besides, dependence of hysteresis loop area, coercive field and remanent magnetization on the concentration has been investigated.

cond-mat.stat-mech↗

Hysteresis behaviours of the crystal field diluted general spin-S Ising model

Hysteresis characteristics of the crystal field diluted general Spin-S ($S>1$) Blume-Capel model have been studied within the effective field approximation. Particular emphasis has been paid on the large negative valued crystal field and low temperature region and it has been demonstrated for this region that, rising dilution of the crystal field results in decreasing number of windowed hysteresis loops. The evolution of the multiple hysteresis loop with the dilution of the crystal field has been investigated and physical mechanism behind this evolution has been given.

cond-mat.stat-mech↗

On the hysteresis behaviors of the higher spin Ising model

Hysteresis characteristics of the general Spin-S ($S>1$) Blume-Capel model have been studied within the effective field approximation. Particular emphasis has been paid on the large negative valued crystal field region and it has been demonstrated for this region that, Spin-S Blume-Capel model has $2S$ windowed hysteresis loop in low temperatures. Some interesting results have been obtained such as nested characteristics of the hysteresis loops of successive spin-S Blume-Capel model. Effect of the rising crystal field and temperature on these hysteresis behaviors have been investigated in detail and physical mechanisms have been given.

cond-mat.stat-mech↗

Hysteresis Behavior of Anisotropic Heisenberg Model in Thin Film Geometry

The effect of the anisotropy in the exchange interaction and film thickness on the hysteresis behavior of the anisotropic Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling approximation. The behaviors of the hysteresis loop area, coersive field and remanent magnetization with the film thickness and anisotropy in the exchange interaction have been obtained.

cond-mat.stat-mech↗

Nonequilibrium phase transitions in isotropic Ashkin-Teller Model

Dynamic behaviour of an isotropic Ashkin-Teller model in the presence of a periodically oscillating magnetic field has been analysed by means of the mean field approximation. The dynamic equation of motion has been constructed with the help of a Glauber type stochastic process and solved for a square lattice. After defining the possible dynamical phases of the system, phase diagrams have been given and the behaviour of the hysteresis loops has been investigated in detail. The hysteresis loop for specific order parameter of isotropic Ashkin-Teller model has been defined and characteristics of this loop in different dynamical phases have been given.

cond-mat.stat-mech↗

Hysteresis behaviors of a spin-1 anisotropic Heisenberg model

The hysteresis behaviors of anisotropic S-1 Heisenberg model have been studied within the effective field theory with two spin cluster. After giving the phase diagrams, the effect of the crystal field and anisotropy in the exchange interaction on the hysteresis loops have been determined. One important finding is double hysteresis loop behavior of the system in the low temperature and negative crystal field region, which disappears with the decreasing anisotropy in the exchange interaction. This behavior was carefully investigated and physical explanation has also been given.

cond-mat.stat-mech↗

Effective field theory in larger clusters - Ising Model

General formulation for the effective field theory with differential operator technique and the decoupling approximation with larger finite clusters (namely EFT-$N$ formulation) has been derived, for S-1/2 bulk systems. The effect of the enlarging this finite cluster on the results in the critical temperatures and thermodynamic properties have been investigated in detail. Beside the improvement on the critical temperatures, the necessity of using larger clusters, especially in nano materials have been discussed. With the derived formulation, application on the effective field and mean field renormalization group techniques also have been performed.

cond-mat.stat-mech↗

Dynamic hysteretic features of the Ising-type thin films

In order to elucidate the important characteristics of hysteretic response, such as types of the frequency dispersion curves, the decay of hysteresis loop area, the mechanism of domain nucleation and/or growth in the dynamic process, etc., a followup examination after the original work has been presented. The additive complementary treatment is essentially based on the results of recent preprint arXiv:1302.2727 concerning the effect of oscillatory perturbation on the surface enhancement phenomenon in magnetic thin films. Throughout the analysis, the best appropriate parameter values have been chosen since they would allow us to achieve striking results. The topology of the response for different layer indices in two regimes of modified surface exchange has been particularly emphasized.

cond-mat.stat-mech↗