Hole Properties On and Off Magnetization Plateaus in 2-d Antiferromagnets

TL;DR

This paper investigates how hole doping affects magnetization plateaus in 2D antiferromagnets, revealing distinct hole properties and spectral signatures inside and outside the plateaus, with implications for understanding magnetic phenomena.

Contribution

It introduces a novel approach to probe magnetization plateaus via hole properties coupled to an effective gauge field in 2D antiferromagnets, extending previous 1D results.

Findings

Hole spectral weight is broadened off-plateau and sharp on-plateau.

Long-range interactions between holes are algebraically decaying outside plateau.

Finite hole doping shifts the magnetization value of the plateaus.

Abstract

The phenomenon of magnetization plateaus in antiferromagnets under magnetic field has always been an important topic in magnetism. We propose to probe the elusive physics of plateaus in 2-d by considering hole-doped antiferromagnet and studying the signatures of magnetization plateaus in terms of the properties of holes, coupled to an effective gauge field generated by the spin sector. The latter mediates interaction between the holes, found to be algebraically decaying long-ranged with both Coulombic and dipolar forms outside plateau and short-ranged (local) inside plateau. The resulting hole spectral weight is significantly broadened off-plateau, while it remains sharply-peaked on-plateau. We also extend the result obtained for 1-d system where finite hole doping gives rise to a shift in the magnetization value of the plateaus.