Thermodynamic properties of the mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies

Wu, Hong; Wei, Guozhu; Zhang, Peng; Yi, Guang-Yu; Gong, Wei‐Jiang

doi:10.1016/j.jmmm.2010.06.053

Cited by 13 publications

(8 citation statements)

References 35 publications

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“…To date, exact solutions have been found for various complex models based on the 1D Ising model. They includes Blume-Emery-Griffiths model [1][2][3] , the model with localized Ising-like spins and exchanging electrons 4 , the models with single-ion anisotropy for the spin-1 chain [5][6][7] or the mixed spin-1/2 and spin-1 Ising chain [8][9][10] , the Ising-Heisenberg "decorated" chains, ladders, and tubes [11][12][13][14][15][16][17][18][19][20] and the Ising-Hubbard diamond chain and ladder 21,22 . These systems show many subtle and important phenomena, including quantized plateaux in the magnetization curves, quantum entanglement, quasi-phases and pseudo-transitions 23 , and describe the properties of real materials, such as the polymeric coordination compounds (see Refs.…”

Section: Introductionmentioning

confidence: 99%

Local distributions of the 1D dilute Ising model

Panov

2020

Journal of Magnetism and Magnetic Materials

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The local distributions of the one-dimensional dilute annealed Ising model with charged impurities are studied. Explicit expressions are obtained for the pair distribution functions and correlation lengths, and their low-temperature asymptotic behavior is explored depending on the concentration of impurities. For a more detailed consideration of the ordering processes, we study local distributions. Based on the Markov property of the dilute Ising chain, we obtain an explicit expression for the probability of any finite sequence and find a geometric probability distribution for the lengths of sequences consisting of repeating blocks. An analysis of distributions shows that the critical behavior of the spin correlation length is defined by ferromagnetic or antiferromagnetic sequences, while the critical behavior of the impurity correlation length is defined by the sequences of impurities or by the charge-ordered sequences. For the dilute Ising chain, there are no other repeating sequences whose mean length diverges at zero temperature. While both the spin correlation and the impurity correlation lengths can diverge only at zero temperature, the ordering processes result in a maximum of the specific heat at finite temperature defined by the maximum rate of change of the impurity-spin pairs concentration. A simple approximate equation is found for this temperature. We show that the non-ordered dilute Ising chains correspond to the regular Markov chains, while various orderings generate the irregular Markov chains of different types.

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Section: Introductionmentioning

confidence: 99%

Local distributions of the 1D dilute Ising model

Panov

2020

Journal of Magnetism and Magnetic Materials

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“…The mixed spin-(1/2, 1) Ising system has been used to study the equilibrium properties of different physical systems using the well-known methods in equilibrium statistical physics ( [7][8][9][10][11][12][13][14][15][16][17] and references therein). The equilibrium critical behavior of the mixed spin-(1/2, 1) Ising (see [14,[18][19][20][21][22][23][24][25][26][27] and references therein) and Heisenberg models [28][29][30][31] has also been investigated extensively. The exact solution of the system was studied on different lattices, such as the honeycomb lattice, bathroom-tile or diced lattices, Bethe lattice, two-fold Cayley tree, etc.…”

Section: Introductionmentioning

confidence: 99%

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

Ertaş

Keskín

2015

Physica B: Condensed Matter

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a b s t r a c tHerein we study the dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model on a square lattice under a time-dependent magnetic field by means of the effective-field theory (EFT) with correlations based on Glauber dynamics. We present the dynamic phase diagrams in the reduced magnetic field amplitude and reduced temperature plane and find that the phase diagrams exhibit dynamic tricitical behavior, multicritical and zero-temperature critical points as well as reentrant behavior.We also investigate the influence of frequency (ω) and observe that for small values of ω the mixed phase disappears, but for high values it appears and the system displays reentrant behavior as well as a critical end point.

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“…The equilibrium properties of the mixed spin-(1/2, 1) Ising and its exact solution on different lattices have been studied in detail (see Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein). It should be pointed out that the exact solution of mixed spin (1/2, 1) Ising model is studied in detail on a honeycomb and diced lattices [25][26][27].…”

Section: Introductionmentioning

confidence: 99%