Critical behaviors of bond and crystal field dilution Blume–Emery–Griffiths model

Dong, H.P.; Su, Yan

doi:10.1016/j.jmmm.2006.04.037

Cited by 12 publications

(2 citation statements)

References 28 publications

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“…The termination of the F-P phase line is a TCP. [26] The TCP appears only for α > −1. Meanwhile, the SQ-P phase boundary and the BCP occur for α ≤ −1.…”

Section: Resultsmentioning

confidence: 99%

Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume–Emery–Griffiths Model

Dong

2008

Commun. Theor. Phys.

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Within the effective field theory (EFT), staggered quadrupolar phase and bicritical point of spin-1 bond and anisotropy dilution Blume–Emery–Griffiths model is studied on simple cubic lattice in the restricted range of biquadratic interaction and bilinear interaction ratio α ⩽ −1. The phase diagrams present a line of staggered quadrupolar-paramagnetic (SQ-P) phase and a line of ferromagnetic-paramagnetic (F-P) phase, separated by a bicritical point (BCP). A large negative ratio and two different dilution factors magnify the range of the SQ phase and reduce range of ferromagnetic phase in T-α or T-D plane. These parameters can assist the reentrant behavior of the SQ-P line and suppress that of the F-P line. The influence of bond dilution on the BCP is dissimilar to that of anisotropy dilution. There is a degenerate pattern at ground state in T-D plane. Some results obtained by the pure BEG model is in qualitative agreement with the results of Monte Carlo simulations.

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“…The termination of the F-P phase line is a TCP. [26] The TCP appears only for α > −1. Meanwhile, the SQ-P phase boundary and the BCP occur for α ≤ −1.…”

Section: Resultsmentioning

confidence: 99%

Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume–Emery–Griffiths Model

Dong

2008

Commun. Theor. Phys.

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“…The three possibilities of disorder in the BEG model and its combinations have been treated also in several techniques, such as mean field, renormalization group, Bethe lattice, transfer matrix, cluster variation, effective field theory (see, for instance, Refs. [14,19,20,21,22,23,24,25,26,27,28,29,30,31]). In the case of the random crystal field field displayed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Blume-Emery-Griffiths model on Random Graphs

Erichsen¹,

Silveira²,

Magalhães³

2023

Preprint

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The Blume-Emery-Griffiths model with a random crystal field is studied in a random graph architecture, in which the average connectivity is a controllable parameter. The disordered average over the graph realizations is treated by replica symmetry formalism of order parameter functions. A self consistent equation for the distribution of local fields is derived, and numerically solved by a population dynamics algorithm. The results show that the average connectivity amounts to changes in the topology of the phase diagrams. Phase diagrams for representative values of the model parameters are compared with those obtained for fully connected mean field and renormalization group approaches.

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Staggered Quadrupolar Phase in the Bond-Diluted Spin-1 Blume-Emery-Griffiths Model

2020

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Critical behaviors of bond and crystal field dilution Blume–Emery–Griffiths model

Cited by 12 publications

References 28 publications

Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume–Emery–Griffiths Model

Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume–Emery–Griffiths Model

Blume-Emery-Griffiths model on Random Graphs

Staggered Quadrupolar Phase in the Bond-Diluted Spin-1 Blume-Emery-Griffiths Model

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