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Critical properties of mixed spin-1 and spin-5/2 with equal and unequal crystal fields |
| Ali Yigita) and Erhan Albayrakb)† |
a. Çankhirhi Karatekin University, Department of Physics, 18100, Çankhirhi, Turkey;
b. Erciyes University, Department of Physics, 38039, Kayseri, Turkey |
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Abstract The effects of assuming equal or unequal crystal fields (CF) on the phase diagrams of a mixed spin-1 and spin-5/2 system are investigated in terms of the recursion relations on the Bethe lattice (BL). The equal CF case was considered for the coordination numbers q=3, 4, and 6, while for q=3 the unequal CF case was also studied. It was found that for the equal CF case, the model exhibits second-order phase transitions and two compensation temperatures for all q, the reentrant behavior for q=4 and first-order phase transitions and tricritical point (TCP) for q=6. In the unequal CF case for q=3, the system yields first- and second-order phase transitions, TCP's, and three compensation temperatures. In addition, the TCP's in a very short range are classified as the stable and unstable ones depending on their free energies.
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Received: 11 April 2011
Revised: 03 November 2011
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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| Fund: Project supported by Scientific Research Found of Karatekin University (Grant No. 2011/10). |
Corresponding Authors:
Erhan Albayrak,albayrak@erciyes.edu.tr
E-mail: albayrak@erciyes.edu.tr
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Cite this article:
Ali Yigit and Erhan Albayrak Critical properties of mixed spin-1 and spin-5/2 with equal and unequal crystal fields 2012 Chin. Phys. B 21 020511
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