Unconventional critical behavior in the quasi-one-dimensional $S=1$ chain ${\mathrm{NiTe}}_{2}{\mathrm{O}}_{5}$

Unconventional critical behavior in the quasi-one-dimensional $S = 1$ chain ${NiTe}_{2} O_{5}$

Jun Han Lee, Marie Kratochvílová, Huibo Cao, Zahra Yamani, J. S. Kim, Je-Geun Park, G. R. Stewart, and Yoon Seok Oh

Phys. Rev. B 100, 144441 – Published 28 October 2019

Abstract

Here we report a quasi-one-dimensional $S = 1$ chain compound ${NiTe}_{2} O_{5}$ . From the comprehensive study of the structure and magnetic properties on high-quality single-crystalline ${NiTe}_{2} O_{5}$ , it is revealed that ${NiTe}_{2} O_{5}$ undergoes a transition into an intriguing long-range antiferromagnetic order at $T_{N} = 30.5 K$ , in which longitudinal magnetic moments along the chain direction are ferromagnetically ordered, while their transverse components have an alternating ferromagnetic-antiferromagnetic coupling. Even though the temperature dependence of magnetic susceptibility represents an archetypal anisotropic antiferromagnetic order, we found that critical behavior of unconventional nature with $α^{'} \sim 0.25$ and $β \sim 0.18$ is accompanied by the temperature evolution of the antiferromagnetic order parameter.

Received 28 March 2019

DOI:https://doi.org/10.1103/PhysRevB.100.144441

Physics Subject Headings (PhySH)

Critical exponents Critical phenomena Exotic phases of matter Spin state transition

1-dimensional spin chains

Crystal growth DC susceptibility measurements Liquid helium cooling Magnetization measurements Neutron diffraction Specific heat measurements X-ray powder diffraction

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jun Han Lee¹, Marie Kratochvílová^2,3, Huibo Cao⁴, Zahra Yamani⁵, J. S. Kim⁶, Je-Geun Park^2,3, G. R. Stewart⁶, and Yoon Seok Oh ^1,*

¹Department of Physics, Ulsan National Institute of Science and Technology, Ulsan 44919, Republic of Korea
²Center for Correlated Electron Systems, IBS, Seoul 08826, Republic of Korea
³Department of Physics & Astronomy, Seoul National University, Seoul 08826, Republic of Korea
⁴Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
⁵Canadian Neutron Beam Centre, Chalk River, Ontario K0J1J0, Canada
⁶Department of Physics, University of Florida, Gainesville, Florida 32611, USA

^*ysoh@unist.ac.kr

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Vol. 100, Iss. 14 — 1 October 2019

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Figure 1
Crystallographic structure of ${NiTe}_{2} O_{5}$ in (a) $b c$ plane and (b) $a b$ plane. (c) Powder XRD results (black line) at room temperature. The red line is the best fit from the Rietveld refinement using fullprof [20]. The green hash marks depict the position of Bragg peaks, and the bottom blue line represents the difference between the observed and calculated intensity.
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Figure 2
Temperature dependence of (a) the magnetic susceptibility of $a$ - (green), $b$ - (blue), $c$ - (red) axis of single-crystalline and polycrystalline (black) ${NiTe}_{2} O_{5}$ in $H = 2 kOe$ , (b) the specific heat $C (T)$ of a single crystal. Orange, light green, and light blue curves indicate the fitting curve from the Debye model with single ( $T_{D} = 613 K$ ), two ( $T_{D 1} = 1008 K$ , $T_{D 2} = 407 K$ ), and three ( $T_{D 1} = 935 K$ , $T_{D 2} = 605 K$ , $T_{D 3} = 224 K$ ) Debye temperatures, respectively. The purple curve represents scaled $C (T)$ of ${MgTe}_{2} O_{5}$ with the Lindemann factor [23, 24]. Temperature dependence of inverse magnetic susceptibility and $C / T$ are shown in the insets of (a) and (b), respectively. A black dashed line indicates Curie-Weiss fitting result from 200 to 350 K. (c) Temperature dependence of magnetic specific heat $C_{mag} / T$ (black solid circles) and magnetic entropy (red solid line). $C_{mag}$ is estimated by subtracting the phonon specific heat from the Debye model fitting of three Debye temperatures.
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Figure 3
Powder-neutron-diffraction patterns at (a) 300 K and (b) 2 K. Black and red lines are the observed and calculated results, respectively. The upper and lower sets of hash marks signify the Bragg reflections of the nuclear and magnetic phase, respectively. In (b), the positions (from left to right) of the magnetic reflections (010), (100), (201), (120), (013), and (210) are marked by arrows. (c) Observed versus calculated intensity (square of the structure factor) of the magnetic Bragg reflections for ${NiTe}_{2} O_{5}$ single crystal in arbitrary units. Inset is a photo of the employed ${NiTe}_{2} O_{5}$ single crystal. Schematic magnetic structure of ${NiTe}_{2} O_{5}$ with (d) full magnetic moment of $N i^{2 +}$ in the $c$ -[110] plane and (e) transverse component $m_{⊥} = \sqrt{m_{a}^{2} + m_{b}^{2}}$ of the magnetic moment from the experimental result of single-crystal neutron diffraction.
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Figure 4
Power-law fittings for the critical phenomena in (a) magnetic specific heat (red line) and (b) (100) magnetic reflection intensity $I_{(100)}$ (blue line) on logarithmic scales. Considering the experimental error of the transition temperature $T_{t}$ , the power laws are analyzed for $T_{t} = T_{N} - 0.1$ , $T_{N}$ , $T_{N} + 0.1 K$ . The fittings give the critical exponents of $α^{'} = 0.14$ , $0.25$ , $0.31$ and $β = 0.17$ , $0.18$ , $0.20$ with respect to $T_{t} = T_{N} - 0.1$ , $T_{N}$ , $T_{N} + 0.1 K$ , respectively. Background of (100) magnetic reflection $I_{0} = 8.437 33$ is estimated from a mean value of $I_{(100)}$ at $T_{N} < T < 35 K$ . (c) Temperature evolution of the (100) magnetic reflection intensity below $T_{N}$ . The blue solid line is the best fit to the power law, $I_{(100)} \sim {(T_{N} - T)}^{2 β}$ , where $β = 0.18$ is the critical exponent. Gray, cyan, pink, and purple solid lines are power-law behavior for $β = 1 / 8$ (2D Ising), $0.25$ , $0.33$ (3D Ising), and $0.5$ (mean field), respectively.
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Physical Review B

covering condensed matter and materials physics

Unconventional critical behavior in the quasi-one-dimensional $S = 1$ chain ${NiTe}_{2} O_{5}$

Jun Han Lee, Marie Kratochvílová, Huibo Cao, Zahra Yamani, J. S. Kim, Je-Geun Park, G. R. Stewart, and Yoon Seok Oh

Phys. Rev. B 100, 144441 – Published 28 October 2019

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Physical Review B

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Unconventional critical behavior in the quasi-one-dimensional S=1 chain NiTe2O5

Jun Han Lee, Marie Kratochvílová, Huibo Cao, Zahra Yamani, J. S. Kim, Je-Geun Park, G. R. Stewart, and Yoon Seok Oh

Phys. Rev. B 100, 144441 – Published 28 October 2019

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Unconventional critical behavior in the quasi-one-dimensional $S = 1$ chain ${NiTe}_{2} O_{5}$