Hysteresis in ±J Ising square lattices

Vogel, E.E.; Cartes, J.; Vargas, P.; Altbir, D.; Kobe, S.; Klotz, Tilla; Nogala, M.M.

doi:10.1103/physrevb.59.3325

Cited by 11 publications

(7 citation statements)

References 17 publications

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“…The results are shown in figure 7. It is obvious that curves become smooth with temperature increasing, which has the same tendency with the Ising result of Vogel et al [10].…”

Section: Monte Carlo Simulation Of Fm/afm Heisenberg Latticesupporting

confidence: 82%

“…The results are shown in figure 1. It is obvious that each hysteresis curve with different concentration x is divided into four parts, which is similar to Vogel's work [10]. We also investigate the rate of spin up and spin down during the whole cycle, which indicates that the AFM points always flip firstly and influences the spin patterns.…”

Section: Introductionsupporting

confidence: 55%

“…In 1997, Viitala and coworkers [9] have observed steplike magnetization curves with the nearest-neighbor Ising model. Then Vogel et al [10] have also acquired hysteresis curves in J ± Ising square lattices and triangular lattices. Subsequently, Slalas-Solis et al [11] added anisotropy to the Edwards-Anderson model, and found ladders of irregular step width and height.…”

Section: Introductionmentioning

confidence: 99%

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The step effect of hysteresis loop in FM/AFM mixed magnetic system

Wang

Liu

Xie

et al. 2006

J. Phys.: Conf. Ser.

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“…The results are shown in figure 7. It is obvious that curves become smooth with temperature increasing, which has the same tendency with the Ising result of Vogel et al [10].…”

Section: Monte Carlo Simulation Of Fm/afm Heisenberg Latticesupporting

confidence: 82%

Section: Introductionsupporting

confidence: 55%

Section: Introductionmentioning

confidence: 99%

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The step effect of hysteresis loop in FM/AFM mixed magnetic system

Wang

Liu

Xie

et al. 2006

J. Phys.: Conf. Ser.

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“…There are usually some spins, called free spins, whose flipping does not change the energy of the state, leading thus to new GSs. This procedure, called invasion, allows us to explore a local ensemble of GSs (LEG), 16 that are related by single spin flips. By comparing the GSs thus obtained many flexible bonds can be detected.…”

Section: Model and Algorithmmentioning

confidence: 99%

Ground-state topology of the Edwards-Anderson±Jspin glass model

et al. 2010

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In the Edwards-Anderson model of spin glasses with a bimodal distribution of bonds, the degeneracy of the ground state allows one to define a structure called backbone, which can be characterized by the rigid lattice (RL), consisting of the bonds that retain their frustration (or lack of it) in all ground states. In this work we have performed a detailed numerical study of the properties of the RL, both in two-dimensional (2D) and three-dimensional (3D) lattices. Whereas in 3D we find strong evidence for percolation in the thermodynamic limit, in 2D our results indicate that the most probable scenario is that the RL does not percolate. On the other hand, both in 2D and 3D we find that frustration is very unevenly distributed. Frustration is much lower in the RL than in its complement. Using equilibrium simulations we observe that this property can be found even above the critical temperature. This leads us to propose that the RL should share many properties of ferromagnetic models, an idea that recently has also been proposed in other contexts. We also suggest a preliminary generalization of the definition of backbone for systems with continuous distributions of bonds, and we argue that the study of this structure could be useful for a better understanding of the low temperature phase of those frustrated models.

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“…Since the step-like magnetization curves with the nearestneighbour Ising model were discovered [17], many works have been devoted to the study of the step effect in mixed magnetic systems. Vogel [18] and Salas-Solis et al [19] studied the step effect of hysteresis loops in AEJ Ising square lattices and triangular lattices by MC simulation. They found that anistropy produces irregularties in the low-temperature hysteresis curve.…”

mentioning

confidence: 99%

Monte Carlo simulation of step effect on molecular‐based magnets

Wang

Jiang

2011

Physica Status Solidi (b)

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Monte Carlo simulation has been used in detail to study the step effect of the hysteresis loop for a ferrimagnetic mixed spin-2 and spin-5/2 Ising model on a honeycomb lattice. The results indicate that the hysteresis loops exhibit an obvious step effect and various shapes for different single-ion anisotropies and exchange couplings at very low temperature. Under a longitudinal magnetic field (h > 0 or h < 0), we have obtained 2S þ 1 magnetic plateaus for different single-ion anisotropies at low temperature. The existence of triple and double hysteresis loop patterns has been found in the system. It is shown that the sublattice anisotropy and the interlayer exchange coupling strongly affect the coercivity of the system. The influence of the interlayer exchange couplings on the total magnetization, susceptibility, internal energy and specific heat with temperature are numerically examined in the absence of the longitudinal field.

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Hysteresis in ±J Ising square lattices

Cited by 11 publications

References 17 publications

The step effect of hysteresis loop in FM/AFM mixed magnetic system

The step effect of hysteresis loop in FM/AFM mixed magnetic system

Ground-state topology of the Edwards-Anderson±Jspin glass model

Monte Carlo simulation of step effect on molecular‐based magnets

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