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Chin. Phys. B, 2012, Vol. 21(6): 067501    DOI: 10.1088/1674-1056/21/6/067501

The mixed-spins 1/2 and 3/2 Blume–Capel model with a random crystal field

Erhan Albayrak
Erciyes University, Department of Physics, 38039, Kayseri, Turkey
Abstract  The random crystal field (RCF) effects are investigated on the phase diagrams of the mixed-spins 1/2 and 3/2 Blume-Capel (BC) model on the Bethe lattice. The bimodal random crystal field is assumed and the recursion relations are employed for the solution of the model. The system gives only the second-order phase transitions for all values of the crystal fields in the non-random bimodal distribution for given probability. The randomness does not change the order of the phase transitions for higher crystal field values, i.e., it is always second-order, but it may introduce first-order phase transitions at lower negative crystal field values for the probability in the range about 0.20 and 0.45, which is only the second-order for the non-random case in this range. Thus our work claims that randomness may be used to induce first-order phase transitions at lower negative crystal field values at lower probabilities.
Keywords:  randomness      crystal field      Bethe lattice      mixed spin      bimodal     
Received:  25 August 2011      Published:  01 May 2012
PACS:  75.10.Hk (Classical spin models)  
  75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))  
  75.50.Gg (Ferrimagnetics)  
Corresponding Authors:  Erhan Albayrak     E-mail:

Cite this article: 

Erhan Albayrak The mixed-spins 1/2 and 3/2 Blume–Capel model with a random crystal field 2012 Chin. Phys. B 21 067501

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