Thermodynamics of the q-deformed Kittel-Shore model for spin-1 particles

Quantum algebras (q-algebras) have been used in the literature to deform spin-chain models. In particular, in previous works by the present authors, the Kittel–Shore Hamiltonian was deformed using 𝔰𝔲_q(2) algebra. The deformed Hamiltonian was presented for a general spin, and the thermodynamic properties were studied for spin-1/2 particles. In this paper (arXiv:2609.31094), we focus on the q-deformation of the Kittel–Shore model for spin-1 systems. We analyse the impact of this deformation on the thermodynamic properties and phase transitions of the system as a function of the deformation parameter q. Specifically, we study the specific heat, magnetic susceptibility, and magnetisation, including a detailed analysis of the Curie temperature characterising the ferromagnetic phase. Furthermore, a finite-size scaling analysis is conducted for both the ferromagnetic and antiferromagnetic cases. Results are systematically compared with those of the undeformed model to reveal the physical effects of the q-deformation.

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