Unique interplay between superconducting and ferromagnetic orders in EuRbFe$_4$As$_4$
V. S. Stolyarov, A. Casano, M. A. Belyanchikov, A. S. Astrakhantseva,, S. Yu. Grebenchuk, D. S. Baranov, I. A. Golovchanskiy, I. Voloshenko, E. S., Zhukova, B. P. Gorshunov, A. V. Muratov, V. V. Dremov, L. Ya. Vinnikov, D., Roditchev, Y. Liu, G.-H. Cao, M. Dressel, E. Uykur

TL;DR
This study investigates how ferromagnetic Eu$^{2+}$ moments influence superconductivity in EuRbFe$_4$As$_4$, revealing coexistence and subtle interactions between magnetic order and superconducting properties.
Contribution
It provides detailed experimental evidence of the interplay between ferromagnetism and superconductivity in EuRbFe$_4$As$_4$, highlighting effects on the superconducting gap and magnetic domain boundaries.
Findings
Superconductivity persists below Eu$^{2+}$ magnetic ordering temperature.
Infrared conductivity shows a complete superconducting gap of 10 meV.
Weak influence of ferromagnetism on zero resistance state.
Abstract
Transport, magnetic and optical investigations on EuRbFeAs single crystals evidence that the ferromagnetic ordering of the Eu magnetic moments at K, below the superconducting transition ( K), affects superconductivity in a weak but intriguing way. Upon cooling below , the zero resistance state is preserved and the superconductivity is affected by the in-plane ferromagnetism mainly at domain boundaries; a perfect diamagnetism is recovered at low temperatures. The infrared conductivity is strongly suppressed in the far-infrared region below , associated with the opening of a complete superconducting gap at meV. A gap smaller than the weak coupling limit suggests the strong orbital effects or, within a multiband superconductivity scenario, the existence of a larger yet unrevealed gap.
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