The Tower of States and the Entanglement Spectrum in a Coplanar Antiferromagnet

TL;DR

This paper analytically computes the entanglement spectrum and entropy of coplanar antiferromagnets with SO(3) symmetry, revealing a tower of states structure consistent with spontaneous symmetry breaking and numerical findings.

Contribution

It extends previous analytical methods to a broader class of antiferromagnets, providing explicit calculations of entanglement properties for systems with SO(3) order.

Findings

Entanglement spectrum shows tower of states structure.

Results align with numerical data on triangular and Kagome lattices.

Analytical approach confirms spontaneous symmetry breaking signatures.

Abstract

We extend the analytical arguments of Metlitski and Grover (arXiv:1112.5166) to compute the entanglement spectrum and entanglement entropy of coplanar antiferromagnets with $SO(3)$ order parameter symmetry. The low-energy states in the entanglement spectrum exhibit the tower of states structure, as is expected for systems that undergo spontaneous symmetry breaking. Our results are consistent with numerical results on the triangular and Kagom\'{e} lattice.