The spin-2 antiferromagnet on the Bethe lattice |
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Authors: | A Erdinç O Canko E Albayrak |
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Institution: | (1) Department of Physics, Erciyes University, 38039, Kayseri, Turkey |
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Abstract: | The complete phase diagrams of the antiferromagnetic spin-2
Blume-Capel Ising system is studied on the Bethe lattice by the use
of exact recursion relations. In order to specify the states of the
system, i.e. the different spin configurations, the ground state
phase diagram is obtained on the (H/|J|, D/|J|) plane
corresponding to the reduced external magnetic and crystal fields,
respectively. As a result, the thermal change of the
order-parameters, the magnetisations belonging to the two sublattice
system, was investigated to obtain the full phase diagrams of the
system on the (H/|J|, kT/|J|) planes. The behavior of the
order-parameters with respect to the external magnetic field was
also studied for the given values of D/|J|. Besides the
interesting thermal and external magnetic field change of the
sublattice magnetisations, the system also exhibits interesting
critical behaviors including first- and second-order phase
transitions, therefore, triciritical points and the reentrant
behavior. The calculations are carried out for the coordination
number q=4, corresponding to the square lattice, only. |
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Keywords: | 05 50 +q Lattice theory and statistics (Ising Potts etc ) 05 70 Fh Phase transitions: general studies 64 60 Cn Order-disorder transformations statistical mechanics of model systems 75 10 Hk Classical spin models |
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