Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet

TL;DR

This paper develops a phenomenological Z_2 lattice gauge theory to model the spin-liquid state of the S=1/2 kagome Heisenberg antiferromagnet, capturing key features observed in numerical studies.

Contribution

It introduces a generalized Z_2 gauge theory with symmetry-constrained interactions, extending previous models to better describe the kagome spin-liquid state.

Findings

Reproduces characteristic features of the spin-liquid state

Connects to previous theoretical frameworks

Provides qualitative agreement with numerical results

Abstract

We construct a phenomenological Z_2 lattice gauge theory to describe the spin-liquid state of the S=1/2 kagome Heisenberg antiferromagnet in the sector with zero total spin. The model is a natural generalization of the Misguich-Serban-Pasquier Hamiltonian with added interactions that are strongly constrained by lattice symmetries. We are able to reproduce qualitatively many of the characteristic features observed in recent numerical studies. We also make connections to the previous works along similar lines.