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The quantum J1−J2 Blume–Capel model

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  • Guerrero, Alejandra I.

Abstract

In this study, it is investigated the effect of quantum fluctuations on the J1−J2 Blume–Capel model. The cluster mean field theory in the four site approximation is used to find the minimal (free) energy solutions. The ground state and finite temperature phase diagrams for the model with competitive ferromagnetic nearest neighbors (J1) and antiferromagnetic next nearest neighbors interactions (J2) are explored. It is found that the nature of phase transitions changes when quantum fluctuations and single-ion anisotropy parameter are varied. It is discussed the existence of tricritical points.

Suggested Citation

  • Guerrero, Alejandra I., 2025. "The quantum J1−J2 Blume–Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    • Handle: RePEc:eee:phsmap:v:658:y:2025:i:c:s0378437124008148
    DOI: 10.1016/j.physa.2024.130304
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    More about this item

    Keywords

    Blume–Capel model; J1 – J2 transverse Ising model; Cluster mean field;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • J2 - Labor and Demographic Economics - - Demand and Supply of Labor

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