Disentangling superconducting and magnetic orders in NaFe_1-xNi_xAs using muon spin rotation

TL;DR

This study uses muon spin rotation to explore the coexistence and competition of magnetic order and superconductivity in NaFe_1-xNi_xAs, revealing a complex phase diagram with reentrant non-magnetic states and a universal relation between magnetic properties.

Contribution

It provides detailed insights into the spatial coexistence and suppression of magnetism and superconductivity in NaFe_1-xNi_xAs, highlighting a universal magnetic relationship across iron-based superconductors.

Findings

Magnetic order is suppressed with increased Ni doping.

Superconductivity coexists with magnetism over a large doping range.

A universal linear relation between magnetic moment and TN is observed.

Abstract

Muon spin rotation and relaxation studies have been performed on a "111" family of iron-based superconductors NaFe_1-xNi_xAs. Static magnetic order was characterized by obtaining the temperature and doping dependences of the local ordered magnetic moment size and the volume fraction of the magnetically ordered regions. For x = 0 and 0.4 %, a transition to a nearly-homogeneous long range magnetically ordered state is observed, while for higher x than 0.4 % magnetic order becomes more disordered and is completely suppressed for x = 1.5 %. The magnetic volume fraction continuously decreases with increasing x. The combination of magnetic and superconducting volumes implies that a spatially-overlapping coexistence of magnetism and superconductivity spans a large region of the T-x phase diagram for NaFe_1-xNi_xAs . A strong reduction of both the ordered moment size and the volume fraction is observed below the superconducting T_C for x = 0.6, 1.0, and 1.3 %, in contrast to other iron pnictides in which one of these two parameters exhibits a reduction below TC, but not both. The suppression of magnetic order is further enhanced with increased Ni doping, leading to a reentrant non-magnetic state below T_C for x = 1.3 %. The reentrant behavior indicates an interplay between antiferromagnetism and superconductivity involving competition for the same electrons. These observations are consistent with the sign-changing s-wave superconducting state, which is expected to appear on the verge of microscopic coexistence and phase separation with magnetism. We also present a universal linear relationship between the local ordered moment size and the antiferromagnetic ordering temperature TN across a variety of iron-based superconductors. We argue that this linear relationship is consistent with an itinerant-electron approach, in which Fermi surface nesting drives antiferromagnetic ordering.