Bond-centered, bond-ordered stripes in doped antiferromagnets

TL;DR

This paper investigates bond-ordered stripe phases in doped antiferromagnets, proposing that spin Peierls order forms in hole-rich domain walls, and analyzes their stability and quasiparticle dynamics relevant to cuprate superconductors.

Contribution

It introduces a model of bond-centered, bond-ordered stripes in doped antiferromagnets and analyzes their stability at specific doping levels, connecting to experimental observations in cuprates.

Findings

Bond-ordered stripes are stable at doping level 1/8.

Quasiparticle dispersion analysis supports stripe stability.

Bond order emerges in hole-rich domain walls.

Abstract

Motivated by recent inelastic neutron scattering experiments on cuprates, we discuss the formation of bond order in the stripe phase. We suggest that the spin Peierls order emerges in hole-rich domain walls (DWs) formed between hole-poor regions in which long-range antiferromagnetic (AF) correlations exist. On the example of a single stripe we analyze the stability of such structures. The motion of a hole inside the DW which takes the form of a bond ordered ladder is in principle unrestricted. The hole hopping in domains is to some extent obscured by the fact that a moving hole spoils AF correlations. The propagation of a hole along the stripe which takes the form of the ladder-like domain wall that separates antiphase AF domains is a combination of these two types of motion occurring in two different environments. By analyzing the energy dispersion of a quasiparticle propagating along the bond-centered, bond-ordered stripe and of a quasiparticle propagating along the site-centered stripe we deduce that bond ordered stripes are stable at the total doping level 1/8 and the linear stripe-filling level 1/2. This conclusion seems to be relevant to the nature of the stripe phase in La_1.875 Ba_0.125 Cu O_4.