Local enhancement of spin and orbital antiferromagnetism around a single vortex in high-Tc superconductors

TL;DR

This paper models the interplay of superconductivity, spin, and orbital antiferromagnetism near a vortex in high-Tc superconductors, revealing how local and global orders vary with potential strength and doping.

Contribution

It introduces a simple model analyzing the competition and coexistence of three orders near a vortex, highlighting the effects of potential strength and doping on their spatial profiles.

Findings

SDW order enhances at vortex core when $V_{d}$ is small

DDW order remains weak around the core at small $V_{d}$

Large $V_{d}$ suppresses SDW and enhances DDW globally and locally

Abstract

In a simple model we investigate three competing orders: d-wave superconductivity, spin and orbital antiferromagnetism (AF) in the vicinity of a single vortex in a cuprate superconductor. We find that when the potential for the orbital AF $V_{d}$ is comparatively small, the spin-density-wave (SDW) order has an enhancement at the vortex core center, and the ''d-density-wave'' (DDW) order exhibits a rather weak behavior around the core and vanishing small away from the core. However, when $V_{d}$ becomes large, globally, the SDW order decreases and the DDW order increases; locally, not only the peak of the SDW order around the core still exists, though relatively suppressed, but also a local peak for the DDW order finally appears. Similar effects are also revealed for the features when varying doping. Comparisons with experiments are discussed.