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Chin. Phys. B, 2013, Vol. 22(10): 100508    DOI: 10.1088/1674-1056/22/10/100508
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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
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.
Keywords:  spin-3/2      random crystal field      effective-field theory      isolated critical point  
Received:  26 March 2013      Revised:  16 April 2013      Published:  30 August 2013
PACS:  05.50.+q (Lattice theory and statistics)  
  05.70.Fh (Phase transitions: general studies)  
  64.60.Cn (Order-disorder transformations)  
  75.10.Hk (Classical spin models)  
Corresponding Authors:  Ali Yigit     E-mail:  ayigit80@karatekin.edu.tr

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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