Noncollinear magnetic structure in ${\mathrm{U}}_{2}{\mathrm{Pd}}_{2}\mathrm{In}$ at high magnetic fields

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Noncollinear magnetic structure in $U_{2} {Pd}_{2} In$ at high magnetic fields

K. Prokeš, M. Bartkowiak, D. I. Gorbunov, O. Prokhnenko, O. Rivin, and P. Smeibidl

Phys. Rev. Research 2, 013137 – Published 7 February 2020

Abstract

We report an unexpected magnetic-field-driven magnetic structure in the $5 f$ -electron Shastry-Sutherland system $U_{2} {Pd}_{2} In$ . This phase develops at low temperatures from a noncollinear antiferromagnetic ground state above the critical field of 25.8 T applied along the $a$ axis. All U moments have a net magnetic moment in the direction of the applied field, described by a ferromagnetic propagation vector $q_{F} = (000)$ and an antiferromagnetic component described by a propagation vector $q_{A F} = (0 0.30 \frac{1}{2})$ due to a modulation in the direction perpendicular to the applied field. We conclude that this surprising noncollinear magnetic structure is due to a competition between the single-ion anisotropy trying to keep moments, similar to the ground state, along the [110]-type directions, Dzyaloshinskii-Moryia interaction forcing them to be perpendicular to each other and application of the external magnetic field attempting to align them along the field direction.

Received 5 November 2019
Revised 18 December 2019
Accepted 8 January 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.013137

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Antiferromagnetism Frustrated magnetism Magnetic phase transitions Metamagnetism

Strongly correlated systems

Neutron diffraction

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

K. Prokeš ^1,*, M. Bartkowiak ¹, D. I. Gorbunov², O. Prokhnenko¹, O. Rivin^1,3, and P. Smeibidl ¹

¹Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner Platz 1, 14109 Berlin, Germany
²Hochfeld-Magnetlabor Dresden (HLD-EMFL), Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
³Physics Department, Nuclear Research Centre Negev, 84190 Beer-Sheva, Israel

^*prokes@helmholtz-berlin.de

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Vol. 2, Iss. 1 — February - April 2020

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Figure 1
Field dependence of the $U_{2} {Pd}_{2} In$ single-crystal magnetization measured at 1.8 K with pulsed field applied along the [100] crystallographic direction with increasing and decreasing magnetic field, respectively. Left inset shows the ground-state noncollinear antiferromagnetic structure of $U_{2} {Pd}_{2} In$ . Four magnetic unit cells projected along the $c$ axis with only U atoms are shown. Bonds connecting U atoms at two different distances, documenting the equivalency of the U sublattice with the Shastry-Sutherland lattice, are given in red (shorter bond) and blue (longer bond), respectively. The right inset shows the crystal structure of $U_{2} {Pd}_{2} In$ . The star denotes the field at which the neutron diffraction data used to determine the field-induced phase were collected.
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Figure 2
(a) Schematic representations of $U_{2} {Pd}_{2} In$ magnetic structures predicted at low temperatures for fields above the critical value of $\approx 26$ T applied along the [100] direction for a case with prevailing single-ion anisotropy (a) and for a case of a very strong magnetic field (b), respectively.
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Figure 3
Portion of neutron diffraction data from the forward detector obtained on an $U_{2} {Pd}_{2} In$ single crystal at (a) 45 K in zero field, (b) at 1.2 K in zero field, and (c) at 1.2 K in a field of 25.9 T applied along the [100] direction converted to the reciprocal space with $h = 0$ .
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Figure 4
Field dependences of (a) (0 2 0), (b) (0 1 1), and (c) $(0 1.30 \frac{1}{2})$ Bragg reflections obtained by box-type integration of a diffracted signal obtained with increasing and decreasing field applied along the $a$ -axis direction at 1.2 K. Dashed line denotes the intensity level at the paramagnetic state.
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Figure 5
(a) Differential “25.9 T–0 T” pattern of $U_{2} {Pd}_{2} In$ obtained at 1.2 K and converted after normalization to the same monitor to the reciprocal space with $h = 0$ . Note two weak Bragg reflections indexable with $(0 0.70 \frac{1}{2})$ and $(0 1.30 \frac{1}{2})$ and absence of any intensity at $(0 0.30 \frac{1}{2})$ and $(0 1.70 \frac{1}{2})$ . (b) Projection of the data shown in (a) with $0.4 \leq L \leq 0.6$ on the K-index axis.
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Figure 6
Possible magnetic structures belonging to the ferromagnetic $q_{F}$ = (0 0 0) (irrep. $Γ_{9})$ panels (a) and (d) and antiferromagnetic $q_{A F} = (0 0.30 \frac{1}{2})$ (irrep. $Γ_{2})$ panel (b) and irrep. $Γ_{4}$ panel (e) propagation vectors, respectively. Resulting possible high-field induced magnetic structures combining the $q_{F}$ and $q_{A F}$ components are shown in panels (c) and (d) and denoted as Model A and Model B, respectively. Conditions for individual structures are written at the top of relevant structures (for details see the main text). In all panels $a \times 5 a \times 2 c$ crystallographic units are shown, containing only magnetic U moments.
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Noncollinear magnetic structure in U2Pd2In at high magnetic fields

K. Prokeš, M. Bartkowiak, D. I. Gorbunov, O. Prokhnenko, O. Rivin, and P. Smeibidl

Phys. Rev. Research 2, 013137 – Published 7 February 2020

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Noncollinear magnetic structure in $U_{2} {Pd}_{2} In$ at high magnetic fields