Linear nonsaturating magnetoresistance in the Nowotny chimney ladder compound ${\mathrm{Ru}}_{2}{\mathrm{Sn}}_{3}$

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Linear nonsaturating magnetoresistance in the Nowotny chimney ladder compound ${Ru}_{2} {Sn}_{3}$

Beilun Wu, Víctor Barrena, Federico Mompeán, Mar García-Hernández, Hermann Suderow, and Isabel Guillamón

Phys. Rev. B 101, 205123 – Published 18 May 2020

Abstract

We present magnetoresistivity measurements in high-quality single crystals of the Nowotny chimney ladder compound ${Ru}_{2} {Sn}_{3}$ . We find a linear and nonsaturating magnetoresistance up to 20 T. The magnetoresistance changes with the magnetic field orientation at small magnetic fields, from a positive to a negative curvature. Above 5 T, the magnetoresistance shows no sign of saturation up to 20 T for any measured angle. The shape of the anisotropy in the magnetoresistance remains when increasing temperature and Kohler's rule is obeyed. We associate the linear and nonsaturating magnetoresistance to a small Fermi surface with hot spots, possibly formed as a consequence of the structural transition. We discuss the relevance of electron-electron interactions under magnetic fields and aspects of the topologically nontrivial properties expected in ${Ru}_{2} {Sn}_{3}$ .

Received 1 January 2020
Accepted 13 April 2020

DOI:https://doi.org/10.1103/PhysRevB.101.205123

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)

Crystal structure Magnetoresistance

Single crystal materials Topological insulators

Crystal growth Magnetization measurements Resistivity measurements

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Beilun Wu ¹, Víctor Barrena ¹, Federico Mompeán ², Mar García-Hernández ², Hermann Suderow ¹, and Isabel Guillamón ^1,*

¹Laboratorio de Bajas Temperaturas y Altos Campos Magnéticos, Departamento de Física de la Materia Condensada, Instituto Nicolás Cabrera and Condensed Matter Physics Center (IFIMAC), Unidad Asociada UAM-CSIC, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
²Instituto de Ciencia de Materiales de Madrid, Consejo Superior de Investigaciones Científicas (ICMM-CSIC), Unidad Asociada UAM-CISC, Sor Juana Inés de la Cruz 3, 28049 Madrid, Spain

^*Corresponding author: isabel.guillamon@uam.es

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Vol. 101, Iss. 20 — 15 May 2020

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Figure 1
(a) Crystal structure of the ${Ru}_{2} {Sn}_{3}$ in the high-temperature tetragonal phase. In the transition to the low-temperature orthorhombic phase, slight displacements of the Sn atom positions occur. The translational symmetry is lowered and the size of the unit cell doubled. Note the crystal axis notations are switched at the transition, following the correspondence $a \to b$ and $c$ , $c \to a$ . (b) Photo of ${Ru}_{2} {Sn}_{3}$ crystals obtained after the growth. (c) One crystal with a needle shape has been isolated and contacted for transport measurements. We evaporated gold on the surface to improve contacts and used four silver paste contacts. A GE varnish filament is put on the middle of the crystal to provide mechanical support. (d) We show in a scheme the direction of the applied current and magnetic field, together with the crystalline axis of the orthorhombic phase. The orientation of the crystal has been measured by single-crystal x-ray scattering. (e) Resistivity vs temperature of a ${Ru}_{2} {Sn}_{3}$ single crystal. The temperature of the maximum in the resistivity is marked with an arrow. The dashed line shows the temperature dependence of the resistivity that we obtained in a sample where we did not correct for Sn deficiency after premelting (see text). This is close to the result of Refs. [29, 30]. (f) Cell parameters vs temperature of the single crystal. The broad transition from a tetragonal structure (blue region) to an orthorhombic structure (yellow region) is marked by the doubling of the lattice parameter $a$ of the tetragonal structure into the parameters $b$ , $c$ of the orthorhombic structure. The dashed line corresponds to the temperature for the maximum in the $ρ (T)$ , shown as an arrow in (e).
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Figure 2
(a) We show (colored lines) the magnetoresistance [MR $= (ρ (B) / ρ_{0} - 1) 100 %$ ] up to 20 T for different magnetic field orientations in the orthorhombic ( $b$ , $c$ ) plane [see Fig. 1] at $T = 1$ K. (b) Lines provide the MR in the low-field region, including data obtained for many more magnetic field orientations (at $T = 1$ K). Notice the change of the curvature of the MR with the orientation.
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Figure 3
(a) We show as colored lines the resistivity vs magnetic field for different temperatures, with an orientation of the magnetic field corresponding to an angle $θ = 20^{\circ}$ in the ( $b − c$ ) plane. All data were taken in the low-temperature orthorhombic phase. (b) Same data, plotted as MR $= (ρ (B, T) / ρ (T) - 1) 100 %$ , with $ρ (T)$ the zero-field resistivity at the corresponding temperatures. (c) Same data, plotted in the form of a Kohler's plot.
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Figure 4
(a) We show the angular dependence of the MR at different fixed magnetic fields and at $T = 1$ K. (b) We show the angular dependence of the MR at $B = 20$ T for $T = 1$ K and $T = 115$ K.
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Figure 5
In the main panel we show the resistivity vs temperature as red filled squares. We notice the onset of an incomplete superconducting transition. In the inset we show the magnetic field dependence of the resistivity for small magnetic fields as colored circles. The magnetic field is applied with the angle $θ$ shown in the legend. See also Fig. 1.
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Physical Review B

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Linear nonsaturating magnetoresistance in the Nowotny chimney ladder compound ${Ru}_{2} {Sn}_{3}$

Beilun Wu, Víctor Barrena, Federico Mompeán, Mar García-Hernández, Hermann Suderow, and Isabel Guillamón

Phys. Rev. B 101, 205123 – Published 18 May 2020

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Physical Review B

covering condensed matter and materials physics

Linear nonsaturating magnetoresistance in the Nowotny chimney ladder compound Ru2Sn3

Beilun Wu, Víctor Barrena, Federico Mompeán, Mar García-Hernández, Hermann Suderow, and Isabel Guillamón

Phys. Rev. B 101, 205123 – Published 18 May 2020

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Linear nonsaturating magnetoresistance in the Nowotny chimney ladder compound ${Ru}_{2} {Sn}_{3}$