# Temperature- and field-driven spin reorientations in triple-layer   ruthenate Sr$_4$Ru$_3$O$_{10}$

**Authors:** M. Zhu, P. G. Li, Y. Wang, H. B. Cao, W. Tian, H. D. Zhang, B. D., Phelan, Z. Q. Mao, and X. Ke

arXiv: 1802.08293 · 2018-02-26

## TL;DR

This study investigates temperature- and field-driven spin reorientations in Sr$_4$Ru$_3$O$_{10}$ using neutron diffraction, revealing complex magnetic phase transitions linked to magnetocrystalline anisotropy and lattice coupling.

## Contribution

It provides the first detailed neutron diffraction analysis of magnetic transitions in Sr$_4$Ru$_3$O$_{10}$, clarifying the nature of spin reorientations and associated anisotropy changes.

## Key findings

- Zero-field ferromagnetic transition at ~100 K
- Spin inclination toward out-of-plane below ~50 K
- Field-induced spin reorientation near 1.5 K

## Abstract

Sr$_4$Ru$_3$O$_{10}$, the $n$ = 3 member of the Ruddlesden-Popper type ruthenate Sr$_{n+1}$Ru$_n$O$_{3n+1}$, is known to exhibit a peculiar metamagnetic transition in an in-plane magnetic field. However, the nature of both the temperature- and field-dependent phase transitions remains as a topic of debate. Here, we have investigated the magnetic transitions of Sr$_4$Ru$_3$O$_{10}$ via single-crystal neutron diffraction measurements. At zero field, we find that the system undergoes a ferromagnetic transition with both in-plane and out-of-plane magnetic components at $T_{c}$ ~ 100 K. Below $T^{*}$ ~ 50 K, the magnetic moments incline continuously toward the out-of-plane direction. At $T$ ~ 1.5 K, where the spins are nearly aligned along the $c$ axis, a spin reorientation occurs above a critical field $B_c$, giving rise to a spin component perpendicular to the plane defined by the field direction and the $c$ axis. We suggest that both the temperature- and field-driven spin reorientations are associated with a change in the magnetocrystalline anisotropy, which is strongly coupled to the lattice degrees of freedom. This study elucidates the long-standing puzzles on the zero-field magnetic orders of Sr$_4$Ru$_3$O$_{10}$ and provides new insights into the nature of the field-induced metamagnetic transition.

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Source: https://tomesphere.com/paper/1802.08293