Spatially Anisotropic Heisenberg Kagome Antiferromagnet

TL;DR

This paper investigates the ground state of a quasi-one-dimensional kagome lattice antiferromagnet, revealing a spiral order with specific magnetic moment arrangements using advanced theoretical methods.

Contribution

It introduces a detailed analysis of the kagome antiferromagnet in the J'<<J limit, combining bosonization, RG, and current algebra techniques to uncover novel magnetic ordering.

Findings

Dangling and chain spins form a spiral with static moments.

Chain spins have a smaller antiferromagnetic component perpendicular to the spiral.

The ground state exhibits a complex magnetic order influenced by weak inter-chain coupling.

Abstract

We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin-chains (exchange J) that are weakly coupled via intermediate "dangling" spins (exchange J'). Using one-dimensional bosonization, renormalization group methods, and current algebra techniques the ground state is determined in the limit J'<<J. We find that the dangling spins and chain spins form a spiral with O(1) and O(J'/J) static moments, respectively, atop of which the chain spins exhibit a smaller O[(J'/J)^2] antiferromagnetically ordered component along the axis perpendicular to the spiral plane.