Random Crystal and Magnetic Field Effects on Hysteresis Loops and Phase Transition of Blume-Capel Model in Cluster Variation Method

R.A.A. Yessoufoua, b, A. Kpadonoua, c, G. Setoa, E. Albayrakd aInstitute of Mathematic and Physical Sciences (IMSP), Dangbo, Benin bUniversity of Abomey-Calavi, Department of Physics, Calavi, Republic of Benin cUNSTIM, ENS-Natitingou, Laboratory of Physics and Applications (LPA), Abomey, Benin dErciyes University, Department of Physics, 38039, Kayseri, Turkey

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The effects of bimodal random crystal field and trimodal magnetic field distributions on the order parameters, i.e., magnetization and quadrupole moments, susceptibility and hysteresis properties of the spin-1 Blume-Capel model are investigated. The lowest approximation of the cluster variation method was used. For the distributions of crystal field and magnetic field, two nodes and three nodes distributions were chosen, respectively, with the probabilities q and p. Exploiting the variation of the order parameters and susceptibility as functions of temperature and crystal field, it was found that they exhibit either continuous or discontinuous phase transitions, i.e., first- or second-order, respectively. The model also presents the re-entrant behaviour for some values of our system parameters. Under the constraint of magnetic field and specific values of the system parameters, two, four and six hysteresis loops have been observed.

DOI:10.12693/APhysPolA.141.634 topics: Blume-Capel model, bimodal crystal field, trimodal magnetic field, reentrant behaviour