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Staggered Quadrupolar Phase in the Bond-Diluted Spin-1 Blume-Emery-Griffiths Model

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Abstract

The random bond-dilution effects of bilinear interaction parameter Jij between the nearest-neighbor (NN) sites are taken into consideration for the spin-1 Blume-Emery-Griffiths (BEG) model on the Bethe lattice (BL) comprised of two interpenetrating equivalent sublattices A and B for given coordination number z in terms of exact recursion relations (ERR). A bimodal distribution for Jij is assumed which is either introduced with probability p or closed with 1 − p. It is assumed that the biquadratic exchange interaction parameter (K) is constant between the NN spins and the single-ion anisotropy parameter (D) is taken to be equivalent on the sublattices A and B. After the study of thermal changes of the order-parameters, the phase diagrams are calculated on possible planes spanned by our system parameters. It is found that the model presents both first- and second-order phase transitions. In addition to the well-known ferromagnetic (F), paramagnetic (P) and ferrimagnetic (FI) phases, the staggered quadrupolar (SQ) phase is also observed. The bicritical point (BCP) for all z and double BCP with z ≥ 4 are observed. The tetracritical point was also found for lower values of p with z ≥ 5.

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Authors and Affiliations

  1. Institute of Mathematic and Physical Sciences (IMSP), Dangbo, Republic of Benin

    J. Kple & F. Hontinfinde

  2. Department of Physics, University of Abomey-Calavi, Godomey, Republic of Benin

    J. Kple & F. Hontinfinde

  3. Department of Physics, Erciyes University, 38039, Kayseri, Turkey

    E. Albayrak

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  1. J. Kple
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  2. F. Hontinfinde
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  3. E. Albayrak
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Correspondence to E. Albayrak.

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Kple, J., Hontinfinde, F. & Albayrak, E. Staggered Quadrupolar Phase in the Bond-Diluted Spin-1 Blume-Emery-Griffiths Model. Int J Theor Phys 59, 3915–3935 (2020). https://doi.org/10.1007/s10773-020-04643-6

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