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Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations |
| Ali Yigita, Erhan Albayrakb |
a Department of Physics, Çankiri Karatekin University, 18100, Çankiri, Turkey;
b Department of Physics, Erciyes University, 38039, Kayseri, Turkey |
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Abstract The bimodal random crystal field (Δ) effects are investigated on the phase diagrams of spin-3/2 Ising model by using the effective-field theory with correlations based on two approximations: the general van der Waerden identity and the approximated van der Waerden identity. In our approach, the crystal field is either turned on or turned off randomly for a given probability p or q=1-p, respectively. Then the phase diagrams are constructed on the (Δ, kT/J) and (p, kT/J) planes for given p and Δ, respectively, when the coordination number is z=3. Furthermore, the effect of randomization of the crystal field is illustrated on the (Δ, kT/J) plane for p=0.5 when z=3, 4, and 6. All these are carried out for both approximations and then the results are compared to point out the differences. In addition to the lines of second-order phase transitions, the model also exhibits first-order phase transitions and the lines of which terminate at the isolated critical points for high p values.
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Received: 26 March 2013
Revised: 16 April 2013
Accepted manuscript online:
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PACS:
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05.50.+q
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(Lattice theory and statistics)
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05.70.Fh
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(Phase transitions: general studies)
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64.60.Cn
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(Order-disorder transformations)
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75.10.Hk
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(Classical spin models)
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Corresponding Authors:
Ali Yigit
E-mail: ayigit80@karatekin.edu.tr
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Cite this article:
Ali Yigit, Erhan Albayrak Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations 2013 Chin. Phys. B 22 100508
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