Ground State Properties of one-dimensional Antiferromagnetic Spin-1 Chain with Single-ion Anisotropy

TL;DR

This paper investigates the ground state properties of a one-dimensional antiferromagnetic spin-1 chain with single-ion anisotropy using the Transfer Matrix method, providing numerical results that align with experimental data.

Contribution

It introduces a numerical analysis of ground state properties of spin-1 chains with anisotropy, including phase diagrams and thermodynamic quantities, matching experimental findings.

Findings

Magnetic plateaus and phase diagrams are characterized.

Numerical results agree with experimental data for specific compounds.

Spin-Peierls transition was not observed in thermodynamic measurements.

Abstract

In this study, we have investigated ground state properties of one-dimensional antiferromagnetic spin-1 chain with single-ion anisotropy at very low temperatures using the Transfer Matrix method. Magnetic plateaus, phase diagram, specific heat, susceptibility of the spin chain have been evaluated numerically from the free energy. Results are in good agreement with the experimental data for the spin-1 compounds [Ni$_2$(Medpt)$_2$($\mu$-ox)(H$_2$O)$_2$](ClO$_4$)$_2$2H$_2$O, [Ni$_{2}$(Medpt)$_{2}$($\mu$-ox)($\mu$-N$_{3}$)](ClO$_{4}$)0.5H$_{2}$O, Ni(C$_2$H$_8$N$_2$)Ni(CN)$_4$ and Ni(C$_{10}$H$_8$N$_2$)$_2$Ni(CN)$_4$.H$_2$O. However, spin-Peierls transition have not been observed in the temperature dependence of specific heat and magnetic susceptibility.