High-temperature series expansion analyses of mixed-spin Ising model

Schofield, S. L.; Bowers, Roger

doi:10.1088/0305-4470/14/8/036

Cited by 26 publications

(6 citation statements)

References 8 publications

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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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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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“…The simplest one concerns the mixed spin-1/2 and spin-1 Ising system. It has been studied extensively by a variety of techniques, namely the renormalization group technique [5][6][7][8], high-temperature series expansions [9,10], the free-fermion approximation [11], the Bethe lattice approach [12], the Bethe-Peierls approximation [13][14][15], the effective-field theory [16][17][18][19][20][21], the mean-field approximation [22][23][24], the finite-cluster approximation [25], Monte Carlo simulations [26][27][28], the mean-field renormalization-group technique [29], the numerical transfer matrix method [27,28] and the cluster variation method in pair-approximation [30]. Thus, thin film models that consist of various magnetic layered structures become interesting tools for physicists [31].…”

Section: Introductionmentioning

confidence: 99%

The mixed spin-1/2 and spin-1 Ising system on a two-layer Bethe lattice

2013

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Abstract:Two layered magnetic Bethe lattice with varying coordination number is introduced and numerically studied via exact recursion relations within a pairwise approach. The system is influenced by competing interlayer and intralayer nearest-neighbour (NN) coupling interactions and also by the crystal and external magnetic fields. Cases where both layers are ferromagnetic or one is ferro and the other antiferromagnetic are considered. System configurations' energy calculations are used to devise some ground state phase diagrams that have proven useful for the investigation of the very low temperature behaviour of the model. Analysis of the thermal behaviours of the total magnetization within the model parameters' space yield interesting phase diagrams which display fascinating properties, in particular the presence of tricritical points.Increasing negative values of the crystal field strength stabilizes the disordered paramagnetic phase and sometimes gives rise to wavy transition lines. PACS

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“…Varieties of models describing such quantum mixed spin chains have been investigated [1][2][3][4][5][6], among which much attention has been directed to the two-sublattice mixed spin-S A and spin-S B (S A aS B ) Ising systems, particularly the mixed-spin, spin-1/2 and spin-1 Ising system. This system has been extensively studied by both theoretical and numerical techniques, such as the renormalization group technique [7,8], the high-temperature series expansions [9], the effective-field theory [10][11][12][13][14][15][16][17][18][19], the mean-field theory [20][21][22], the spin-wave theory [3,23], Green's function approach [25], the DMRG methods [3,23], and the Monte Carlo simulations [24]. Although delightful results were acquired from the above investigations, exact analytical solution for this model will continue to be of great value for us to understand the essential physics of this quantum mixed spin chain model.…”

Section: Introductionmentioning

confidence: 99%