Phase transition of site-dilute Ising model in a random field

Bobák, A.; Macko, P.

doi:10.1016/0304-8853(92)91746-g

Cited by 22 publications

(8 citation statements)

References 25 publications

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“…As has been pointed out in Ref. [25], these results justify our procedure. We also note that a similar methodology of obtaining the free energy of the model within the effective-field theory, employing the two-spin cluster, has been proposed in Ref.…”

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confidence: 87%

“…( 8) for the equilibrium staggered magnetization. Then a critical temperature and a tricritical point, at which the phase transition changes from second order to first order, are determined by the following conditions [25]: (i) the second-order transition line when 1 − K AF < 0. However, the firstorder phase transition line is evaluated by solving simultaneously two transcendental equations, namely the equilibrium condition (10) and the equation F AF (T, R, m) = F 0 (T, R), which corresponds to the point of intersection of the free energies for the AF and P phases.…”

Section: Theorymentioning

confidence: 99%

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Phase transitions in a frustrated Ising antiferromagnet on a square lattice

et al. 2015

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The phase transitions occurring in the frustrated Ising square antiferromagnet with first- (J1<0) and second-nearest-neighbor (J2<0) interactions are studied within the framework of the effective-field theory with correlations based on the different cluster sizes and for a wide range of R=J2/|J1|. Despite the simplicity of the model, it has proved difficult to precisely determine the order of the phase transitions. In contrast to the previous effective-field study, we have found a first-order transition line in the region close to R=-0.5 not only between the superantiferromagnetic and paramagnetic (R<-0.5) but also between antiferromagnetic and paramagnetic (R>-0.5) phases.

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Section: Rnap = (W -Sf)) = ( E^hr D>)f^xy)\supporting

confidence: 87%

Section: Theorymentioning

confidence: 99%

Phase transitions in a frustrated Ising antiferromagnet on a square lattice

et al. 2015

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“…Recently, some interest has been directed to the understanding of more complicated systems in the presence of random fields, i.e. the transverse Ising model [34][35][36], the amorphous Ising ferromagnet [37], the site-diluted Ising model [38,39], the semi-infinite Ising model [40,41], the decorated Ising model [42], the BlumeCapel model [43] and the mixed spin-Ising model [44,45]. The transverse Ising model in a random field has received some attentions in recent years [46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Effect of the transverse field on the site-diluted Ising model in a longitudinal random field

Liang

Wei

Zhang

2008

Journal of Magnetism and Magnetic Materials

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“…Only very recently some interest has been directed to the understanding of more complicated systems in the presence of random fields, i.e. the transverse Ising model [20,21], the amorphous Ising ferromagnet [22], the site-diluted Ising model [23][24][25], the semi-infinite Ising model [25,26], the Blume-Capel model [27] and the spin S Ising model [28]. It has been shown that we can find in these systems a very rich critical behavior and many interesting phenomena.…”

Section: Introductionmentioning

confidence: 99%