The Amorphous Spin-1 Ising Model on the Bethe Lattice
E. Albayrak
Erciyes University, Department of Physics, 38039, Kayseri, Turkey
Received: May 17, 2018; in final form October 26, 2018
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The coordination numbers z=3, 4 and 6 corresponding to the honeycomb, square, and simple cubic lattices, respectively, are randomly taken with probabilities p,q,r between the nearest-neighbors of spin-1 atoms on the Bethe lattice to simulate amorphous materials. The exact recursion relations are employed to obtain the order-parameters with the implementation of random coordination numbers in the standard-random approach. The phase diagrams are obtained by varying the temperature for given values of crystal field, coordination numbers, and probabilities. It is found that the phase lines consist of either second- or first-order phase transitions and second- and first-order phase transitions combined at the tricritical points for appropriate values of our parameters.

DOI:10.12693/APhysPolA.134.1176
topics: randomness, coordination number, Bethe lattice, spin-1