Semiclassical eigenstates of four-sublattice antiferromagnets

TL;DR

This paper uses semiclassical quantization and topological phases to analyze the eigenstates of four-sublattice antiferromagnets, revealing their multiplicities and symmetry patterns, and confirming results with numerical data.

Contribution

It introduces a semiclassical approach combining Bohr-Sommerfeld quantization and topological phases to study low-lying eigenstates in complex antiferromagnetic systems.

Findings

Clustering pattern matches numerical results for triangular antiferromagnets.

Provides a theoretical framework for eigenstate multiplicities and symmetries.

Analyzes both triangular and fcc lattice cases.

Abstract

Applying Bohr-Sommerfeld quantization and the topological phase of spin path integrals, one can determine the multiplicities, lattice symmetries, and eigenvalue clustering pattern of the low-lying singlet eigenstates of the triangular and fcc antiferromagnets with 4-sublattice classical ground states. In the triangular case, the clustering pattern agrees with numerical results of Lecheminant et al (Phys. Rev. B 52, 6647 (1995)).