An extension of the characteristic angle method to the easy-plane spin-3/2 ferromagnet

TL;DR

This paper extends the Characteristic Angle method from easy-plane spin-1 to spin-3/2 ferromagnetic systems, providing new analytical tools to study their ground state and excitations.

Contribution

The paper introduces a compact transformation for spin-3/2 operators and applies the CA method to analyze ground state energy, magnon dispersion, and magnetization.

Findings

Derived a compact spin-3/2 operator transformation

Calculated ground state energy and magnon dispersion

Compared results with previous theoretical approaches

Abstract

The Characteristic Angle (CA) method [Lei Zhou and Ruibao Tao, J. Phys. A, {\bf 27} 5599] developed previously for the easy-plane spin-1 magnetic systems has been successfully extended to the spin-3/2 case. A compact form of the CA spin-3/2 operator transformation is given, then the ground state energy, the magnon dispersion relation and the spontaneous magnetization are discussed for an easy-plane spin-3/2 ferromagnet by using the CA method. Comparisons with the old theoretical methods are made in the end.