Quantitative Test of SO(5) Symmetry in the Vortex State of $Nd_{1.85}Ce_{0.15}CuO_4$

TL;DR

This paper investigates the SO(5) symmetry in the vortex state of Nd_{1.85}Ce_{0.15}CuO_4 by modeling competing orders and comparing with neutron scattering data, predicting effects of in-plane magnetic fields.

Contribution

It provides a quantitative test of SO(5) symmetry in electron-doped cuprates and predicts how magnetic fields influence critical properties.

Findings

System is close to an SO(5) symmetric critical point.

Magnetic field dependence of antiferromagnetic moment matches experimental data.

Applying in-plane magnetic fields can increase $B_{c2}$ and $T_c$.

Abstract

By numerically solving models with competing superconducting and antiferromagnetic orders, we study the magnetic field dependence of the antiferromagnetic moment in both the weak and strong field regimes. Through a omparison with the neutron scattering results of Kang et al and Matsuura et al.on $Nd_{1.85}Ce_{0.15}CuO_4$, we conclude that this system is close to a SO(5) symmetric critical point. We also make a quantitative prediction on increasing the upper critical field $B_{c2}$ and the superconducting transition temperature $T_c$ by applying an in-plane magnetic field.