Spontaneous trimerization in two-dimensional Antiferromagnets

TL;DR

This paper introduces a new quantum paramagnetic state called the spontaneously trimer state in 2D antiferromagnets, modeled on a frustrated spin-1 kagome lattice, revealing insights into many-body entanglement and ground state properties.

Contribution

The paper proposes the spontaneously trimer state as a novel ground state in 2D antiferromagnets, using an analogy to FQHE pseudo-potential methods, and demonstrates its relevance to a frustrated spin-1 kagome model.

Findings

Trimer state accurately describes the ground state of the model.

Analysis of local excitations and magnetization plateaus.

Deepens understanding of many-body entanglement in 2D systems.

Abstract

In this paper, we propose a novel quantum paramagnetic state in two-dimensional antiferromagnets: the spontaneously trimer state, which is constructed by the trimers of spins. Each trimer is a singlet state formed by three neighboring spins with SU(3) symmetry. A frustrated spin-1 Heisenberg model in the kagome lattice is investigated. By analogy to the pseudo-potential approach in the fractional quantum Hall effect (FQHE), we find that the trimer state provides a perfect description for the exact ground state of this model. Other interesting properties, such as the local excitations as well as magnetization plateaus have also been investigated. It is shown that this novel state would deepen our understanding of the nature of the many-body entanglement in the two-dimensional strong correlated systems.