The study of mixed spin-1 and spin-1/2: Entropy and isothermal entropy change

Albayrak, Erhan

doi:10.1016/j.physa.2020.125079

Cited by 17 publications

(11 citation statements)

References 47 publications

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“…From the figure, we can see every χ curve has a peak that corresponds to a temperature defined as critical temperature (T C ). It is an important parameter for better understanding magnetic phase transition from order to disorder for magnetic nanostructures [28,34,35]. It is found that the χ curves intersect each other at the same T C when 2 × N 2 is larger than 2 × 20 2 , whereas the T C appears earlier for 2 × N 2 smaller than 2 × 20 2 , suggesting that the system can exhibit an obvious finite-size effect for small size.…”

Section: Model and Methodsmentioning

confidence: 95%

“…In the field of theoretical calculation of magnetic nanomaterials, the mixed-spin Ising model is a well-known model which can help in understanding the magnetic nature of various magnetic nano-systems and could be taken into account to investigate the MCE. Albayrak studied the entropy and isothermal entropy change of the mixed-spin(1,1/2) Ising model [35]. The influence of the crystal field and external magnetic field on the variation of the peak value of isothermal entropy change was discussed emphatically.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer

Chang¹,

Wang²,

Ma³

et al. 2021

Commun. Theor. Phys.

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The magnetic properties and magnetocaloric effect of an antiferromagnetic/ferromagnetic (AFM/FM) BiFeO3/Co bilayer with mixed-spin (5/2, 3/2) have been studied based on Monte Carlo simulation. The magnetization, susceptibility, and critical temperature are investigated under various exchange couplings and an external magnetic field. In particular, the influence of exchange couplings and an external magnetic field on the magnetic entropy change, adiabatic temperature change, and the relative cooling power (RCP) are studied. The simulation results indicated that the decrease of the exchange coupling and the increase of external magnetic fields can cause an increase of magnetic entropy change, adiabatic temperature change, and RCP. In addition, the hysteresis loops of the system are presented for different exchange couplings and temperatures.

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Section: Model and Methodsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer

Chang¹,

Wang²,

Ma³

et al. 2021

Commun. Theor. Phys.

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“…The (1,1/2)-MSIM on CT is a nice alternative for researches on mixed-spins [5]. Since spin-1 has a higher spin than spin-1/2, it is generally known that higher spins have higher critical temperatures.…”

Section: Introductionmentioning

confidence: 99%

“…Espriella et al [7] figured out ground state configurations of the (1,1/2)-MSIM on a square lattice. Using the explicit recursion relations for a set of provided coordination numbers, Albayrak [5] elucidated isothermal entropy change and the entropy of (1,1/2)-MSIM on BL (see [11]).…”

Section: Introductionmentioning

confidence: 99%

The Extremality of Disordered Phases for the Mixed Spin-(1,1/2) Ising Model on Cayley Tree of Arbitrary Order

Akın

Mukhamedov

2023

Preprint

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The aim of this paper is to continue the investigation into the set of translation-invariant splitting Gibbs measures (TISGMs) for Ising model having the mixed spin (1,1/2) (shortly, (1,1/2)-MSIM) on a Cayley tree of arbitrary order. In our previous work [Akın and Mukhamedov, J. Stat. Mech. (2022) 053204], we provided a thorough explanation of the TISGMs, and studied the extremality of disordered phases using a Markov chain with a tree index on a semi-finite Cayley tree with order two. In this paper, we construct the TISGMs and tree-indexed Markov chains associated with to the model. Considering a tree-indexed Markov chain on a Cayley tree of any order, we clarify the extremality of the related disordered phases. By using the Kesten-Stigum condition (KSC), we investigate non-extremality of the disordered phases by means of the eigenvalues of the stochastic matrix associated with (1,1/2)-MSIM on a CT of order k≥2.

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“…In [2], Silva and Salinas performed some exact calculations for a Curie-Weiss or mean-field version of the mixed-spin Ising Hamiltonian on the Bethe lattice. In [3], it has been studied the entropy and isothermal entropy change of the mixed spin-(1,1/2) Ising model on the Bethe lattice by means of the exact recursion relations for the coordination numbers q = 3, 4 and 6. In the present situation, there are plenty of works devoted such types of investigations.…”

Section: Introductionmentioning

confidence: 99%

Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree

Akın¹,

Mukhamedov²

2022

Preprint

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In the present paper, the Ising model with mixed spin-(1,1/2) is considered on the second order Cayley tree. A construction of splitting Gibbs measures corresponding the model is given which allows to establish the existence of the phase transition (non-uniqueness of Gibbs measures). We point out that, in the phase transition region, the considered model has three translation-invariant Gibbs measures in the ferromagnetic and anti-ferromagnetic regimes, while the classical Ising model does not possesses such Gibbs measures in the anti-ferromagnetic regime. It turns out that the considered model, like the Ising model, exhibits a disordered Gibbs measure. Therefore, non-extremity and extremity of such disordered Gibbs measures is investigated by means of tree-indexed Markov chains.

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The study of mixed spin-1 and spin-1/2: Entropy and isothermal entropy change

Cited by 17 publications

References 47 publications

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer

The Extremality of Disordered Phases for the Mixed Spin-(1,1/2) Ising Model on Cayley Tree of Arbitrary Order

Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree

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The study of mixed spin-1 and spin-1/2: Entropy and isothermal entropy change

Cited by 17 publications

References 47 publications

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO3/Co bilayer

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO3/Co bilayer

The Extremality of Disordered Phases for the Mixed Spin-(1,1/2) Ising Model on Cayley Tree of Arbitrary Order

Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree

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Product

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Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer

Monte Carlo study of the magnetic properties and magnetocaloric effect of an AFM/FM BiFeO₃/Co bilayer