Curie and Neel Temperatures of Quantum Magnets

TL;DR

This paper uses high-temperature series expansions to estimate the transition temperatures of quantum Heisenberg magnets with different spins and explores how the difference between Curie and Neel temperatures diminishes as spin quantum number increases.

Contribution

It provides new estimates of transition temperatures for various spin quantum numbers and analyzes the relationship between Curie and Neel temperatures in quantum magnets.

Findings

Transition temperatures are estimated for spins 1/2, 1, and 3/2.

The difference between Curie and Neel temperatures decreases with increasing spin.

The study enhances understanding of magnetic phase transitions in quantum systems.

Abstract

We estimate, using high-temperature series expansions, the transition temperatures of the spin 1/2, 1 and 3/2 Heisenberg ferromagnet and antiferromagnet in 3-dimensions. The manner in which the difference between Curie and Neel temperatures vanishes with increasing spin quantum number is investigated.