Thermodynamics of the q-deformed Kittel--Shore model for spin-1 particles
Abstract
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 suq(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, 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.
Related
- An integral representation of eigenfunctions for the deformed Noumi--Sano operators
- Quasi-Fuchsian groups and complex realisations of q-deformed real numbers
- Lattice paths on snake graphs for q-deformed rationals
- Persistence probabilities of MA(1) sequences with Laplace innovations and q-deformed zigzag numbers
- Superintegrability of discrete-time rational Ruijsenaars-Schneider model and deformed polynomial symmetry algebras
BibTeX
@misc{mariscal2026thermodynamics,
title = {{Thermodynamics of the $q$-deformed Kittel--Shore model for spin-1 particles}},
author = {V. Mariscal and J. J. Relancio},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31094},
eprint = {2609.31094},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31094},
}
RIS
TY - UNPB
TI - Thermodynamics of the q-deformed Kittel--Shore model for spin-1 particles
AU - V. Mariscal
AU - J. J. Relancio
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31094
UR - https://arxiv.org/abs/2609.31094
AB - 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, 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.
ER -