Magnetization and Thermal Entanglement of the Spin-1 Ising-Heisenberg Polymer Chain

TL;DR

This paper presents an exactly solvable spin-1 Heisenberg-Ising model for a Ni-containing polymer chain, revealing magnetization plateaus, thermal entanglement features, and their correspondence, using analytical transfer matrix methods.

Contribution

It introduces a fully analytical Heisenberg-Ising model that captures the magnetic and entanglement properties of a specific spin-1 polymer chain.

Findings

Magnetization exhibits three plateaus at specific fractions of saturation.

Thermal entanglement shows plateaus corresponding to magnetization features.

Analytical transfer matrix technique effectively characterizes magnetic and entanglement properties.

Abstract

We establish a solvable Heisenberg-Ising model on a spin-1 Ni-containing polymer chain, $[Ni (NN'-dmen) (\mu-N_3)_2]$, with $NN'-dmen$ being $NN'-dimethylethylenediamine$, that fully covers the interaction characteristics of the material and by which, we can characterize all the peculiar magnetic features of the polymer, which has been partly studied in experiment. By purely analytical calculations, we can see that the magnetization exhibits three plateaus at zero, mid, and 3/4 of the saturation value at low temperatures below 2 K. The corresponding featuring peaks of magnetic susceptibility are clearly shown. The model also displays plateaus in thermal entanglement that captures the one-to-one correspondence between thermal entanglement plateaus and those of the magnetization. The calculations are done by the transfer matrix technique.