Magnetic ordering in doped coupled frustrated quantum spin-1/2 chains with 4-spin exchange

TL;DR

This paper investigates how four-spin cyclic exchange interactions influence magnetic ordering in doped frustrated quantum spin-1/2 chains, revealing long-range impurity interactions that may explain antiferromagnetic order in doped spin-Peierls materials.

Contribution

It demonstrates that four-spin cyclic exchange induces soliton confinement and long-range impurity interactions, advancing understanding of magnetic ordering mechanisms in doped frustrated spin chains.

Findings

Four-spin exchange causes soliton confinement.

Impurity interactions are long-ranged and non-frustrating.

Potential explanation for AF long-range order in doped spin-Peierls compounds.

Abstract

The role of various magnetic inter-chain couplings has been investigated recently by numerical methods in doped frustrated quantum spin chains. A non-magnetic dopant introduced in a gapped spin chain releases a free spin-1/2 soliton. The formation of a local magnetic moment has been analyzed in term of soliton confinement. A four-spin coupling which might originate from cyclic exchange is shown to produce such a confinement. Dopants on different chains experience an effective space-extended non-frustrating pairwise spin interaction. This effective interaction between impurity-spins is long-ranged and therefore is expected to play a crucial role in the mecanism of antiferromagnetic (AF) long-range ordering (LRO) observed in spin-Peierls (SP) compounds such as CuGeO$_3$ doped with non-magnetic impurities.