Absence of long-range order in a spin-half Heisenberg antiferromagnet on the stacked kagome lattice

TL;DR

This study investigates whether stacking kagome layers induces magnetic order in a spin-half Heisenberg antiferromagnet, finding that the system remains disordered regardless of interlayer coupling.

Contribution

It demonstrates that stacking kagome layers does not lead to magnetic order, using Green's-function and spin wave methods to analyze the ground state.

Findings

System remains short-range ordered regardless of interlayer coupling.

No magnetic long-range order observed in the stacked kagome system.

Results suggest the quantum spin liquid state persists in three dimensions.

Abstract

We study the ground state of a spin-half Heisenberg antiferromagnet on the stacked kagome lattice by using a spin-rotation-invariant Green's-function method. Since the pure two-dimensional kagome antiferromagnet is most likely a magnetically disordered quantum spin liquid, we investigate the question whether the coupling of kagome layers in a stacked three-dimensional system may lead to a magnetically ordered ground state. We present spin-spin correlation functions and correlation lengths. For comparison we apply also linear spin wave theory. Our results provide strong evidence that the system remains short-range ordered independent of the sign and the strength of the interlayer coupling.