Short-range cluster spin glass near optimal superconductivity in BaFe$_{2-x}$Ni$_{x}$As$_{2}$
Xingye Lu, David W. Tam, Chenglin Zhang, Huiqian Luo, Meng Wang, Rui, Zhang, Leland W. Harriger, T. Keller, B. Keimer, L.-P. Regnault, Thomas A., Maier, and Pengcheng Dai

TL;DR
This study reveals that near optimal superconductivity in BaFe$_{2-x}$Ni$_{x}$As$_{2}$, an inhomogeneous cluster spin glass phase coexists with superconductivity, challenging the view of homogeneous coexistence of antiferromagnetism and superconductivity.
Contribution
It demonstrates that the incommensurate antiferromagnetic order is a cluster spin glass, not a spin-density wave, providing new insight into the magnetic state near optimal doping.
Findings
Incommensurate AF order is a cluster spin glass.
Optimal superconductivity coexists with a mesoscopic spin glass phase.
This coexistence is different from homogeneous AF and superconducting phases.
Abstract
High-temperature superconductivity in iron pnictides occurs when electrons are doped into their antiferromagnetic (AF) parent compounds. In addition to inducing superconductivity, electron-doping also changes the static commensurate AF order in the undoped parent compounds into short-range incommensurate AF order near optimal superconductivity. Here we use neutron scattering to demonstrate that the incommensurate AF order in BaFeNiAs is not a spin-density-wave arising from the itinerant electrons in nested Fermi surfaces, but consistent with a cluster spin glass in the matrix of the superconducting phase. Therefore, optimal superconductivity in iron pnictides coexists and competes with a mesoscopically separated cluster spin glass phase, much different from the homogeneous coexisting AF and superconducting phases in the underdoped regime.
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