Multiple Magnetic Transitions in the Trilayer Nickelate Pr$_4$Ni$_3$O$_{10}$ Revealed by Muon-Spin Rotation

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Main Authors: Khasanov, Rustem, Hicken, Thomas J., Guguchia, Zurab, Huangfu, Shangxiong, Luetkens, Hubertus, Pomjakushina, Ekaterina, Pomjakushin, Vladimir, Schilling, Andreas, Plokhikh, Igor, Gawryluk, Dariusz J.
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Published: 2026
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author Khasanov, Rustem
Hicken, Thomas J.
Guguchia, Zurab
Huangfu, Shangxiong
Luetkens, Hubertus
Pomjakushina, Ekaterina
Pomjakushin, Vladimir
Schilling, Andreas
Plokhikh, Igor
Gawryluk, Dariusz J.
author_facet Khasanov, Rustem
Hicken, Thomas J.
Guguchia, Zurab
Huangfu, Shangxiong
Luetkens, Hubertus
Pomjakushina, Ekaterina
Pomjakushin, Vladimir
Schilling, Andreas
Plokhikh, Igor
Gawryluk, Dariusz J.
contents A muon-spin rotation/relaxation ($μ$SR) study of the trilayer Ruddlesden--Popper nickelate Pr$_4$Ni$_3$O$_{10}$ was performed at ambient pressure and under hydrostatic pressure up to 2.2 GPa. Three magnetic transitions were identified at ambient pressure: the onset of spin-density-wave (SDW) order at $T_{\rm SDW} \simeq 158$ K, an intermediate-temperature transition at $T^{\ast} \simeq 90$--100 K, and a low-temperature transition at $T_{\rm SDW}^{\rm Pr} \simeq 25$--27 K. While the intermediate transition at $T^{\ast}$ induces only minor changes in the internal-field distribution, the transition at $T_{\rm SDW}^{\rm Pr}$ is accompanied by a pronounced reconstruction of the magnetic structure, consistent with previous reports attributing enhanced interlayer coherence to the ordering of the Pr sublattice. The high-temperature transition at $T_{\rm SDW}$ is characterized by the sharp development of static internal magnetic fields with a narrow transition width of $0.65(4)$ K. Weak-transverse-field measurements reveal a finite thermal hysteresis of $0.27(6)$ K, with $T_{\rm SDW}^{\rm warming} > T_{\rm SDW}^{\rm cooling}$, indicating weakly first-order-like behavior. Hydrostatic pressure suppresses $T_{\rm SDW}$ linearly and reduces the ordered Ni magnetic moment $M$, with corresponding rates of ${\rm d}T_{\rm SDW}/{\rm d}p = -4.9(1)$ K/GPa and ${\rm d}\ln M/{\rm d}p = -2.0(5)\times10^{-2}$ GPa$^{-1}$, respectively, thereby demonstrating a gradual weakening of the spin-density-wave instability under compression.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11823
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multiple Magnetic Transitions in the Trilayer Nickelate Pr$_4$Ni$_3$O$_{10}$ Revealed by Muon-Spin Rotation
Khasanov, Rustem
Hicken, Thomas J.
Guguchia, Zurab
Huangfu, Shangxiong
Luetkens, Hubertus
Pomjakushina, Ekaterina
Pomjakushin, Vladimir
Schilling, Andreas
Plokhikh, Igor
Gawryluk, Dariusz J.
Superconductivity
Strongly Correlated Electrons
A muon-spin rotation/relaxation ($μ$SR) study of the trilayer Ruddlesden--Popper nickelate Pr$_4$Ni$_3$O$_{10}$ was performed at ambient pressure and under hydrostatic pressure up to 2.2 GPa. Three magnetic transitions were identified at ambient pressure: the onset of spin-density-wave (SDW) order at $T_{\rm SDW} \simeq 158$ K, an intermediate-temperature transition at $T^{\ast} \simeq 90$--100 K, and a low-temperature transition at $T_{\rm SDW}^{\rm Pr} \simeq 25$--27 K. While the intermediate transition at $T^{\ast}$ induces only minor changes in the internal-field distribution, the transition at $T_{\rm SDW}^{\rm Pr}$ is accompanied by a pronounced reconstruction of the magnetic structure, consistent with previous reports attributing enhanced interlayer coherence to the ordering of the Pr sublattice. The high-temperature transition at $T_{\rm SDW}$ is characterized by the sharp development of static internal magnetic fields with a narrow transition width of $0.65(4)$ K. Weak-transverse-field measurements reveal a finite thermal hysteresis of $0.27(6)$ K, with $T_{\rm SDW}^{\rm warming} > T_{\rm SDW}^{\rm cooling}$, indicating weakly first-order-like behavior. Hydrostatic pressure suppresses $T_{\rm SDW}$ linearly and reduces the ordered Ni magnetic moment $M$, with corresponding rates of ${\rm d}T_{\rm SDW}/{\rm d}p = -4.9(1)$ K/GPa and ${\rm d}\ln M/{\rm d}p = -2.0(5)\times10^{-2}$ GPa$^{-1}$, respectively, thereby demonstrating a gradual weakening of the spin-density-wave instability under compression.
title Multiple Magnetic Transitions in the Trilayer Nickelate Pr$_4$Ni$_3$O$_{10}$ Revealed by Muon-Spin Rotation
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2603.11823