The quantum J1−J2 Blume–Capel model

Alejandra I. Guerrero

Physica A: Statistical Mechanics and its Applications, 2025, vol. 658, issue C

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.

Keywords: Blume–Capel model; J1 – J2 transverse Ising model; Cluster mean field (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:658:y:2025:i:c:s0378437124008148

DOI: 10.1016/j.physa.2024.130304

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