Abstract
We report 1H NMR study in the two-dimensional (2D) Heisenberg antiferromagnet, C\(_{16}\)H\(_{26}\)Mn\(_2\)O\(_9\) (MnDC-6). Over a wide temperature range from 300 to \(\sim 8\) K, we find that the linewidth of the 1H NMR spectrum follows the temperature dependence of the uniform magnetic susceptibility \(\chi \), and the spin-lattice relaxation rate \(T_1^{-1}\) is proportional to \(\chi T\). These NMR data show that the static and dynamic magnetic properties of the system are governed by 2D antiferromagnetic (AFM) Heisenberg interactions. Remarkably, \(T_1^{-1}\) is critically enhanced in a very narrow temperature range below \(\sim 6\) K undergoing a three-dimensional (3D) AFM transition at \(T_N=4.7\) K. Based on the fact that the interlayer coupling is extremely small, and the temperature dependence of the critical enhancement of \(T_1^{-1}\) is incompatible with the 3D Heisenberg model, we argue that the rapid growth of the transverse correlation length \(\xi _\perp \) due to a small planar anisotropy leads to the spin-dimensionality crossover from 2D Heisenberg to 2D XY-like at low temperatures close to \(T_N\). Once \(\xi _\perp \) becomes sufficiently long, even the tiny interlayer exchange coupling could trigger the 3D AFM ordering.
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The data that support the findings of this study are available from the corresponding author (B. J. Suh).
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Acknowledgements
This work was supported by the Catholic University of Korea, Research Fund, 2020. SHB was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (Grant No. NRF-2020R1A2C1003817).
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Baek, SH., Kim, Y., Jung, DY. et al. 1H NMR study of dimensionality crossover in a two-dimensional antiferromagnet. J. Korean Phys. Soc. 81, 1269–1273 (2022). https://doi.org/10.1007/s40042-022-00663-z
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DOI: https://doi.org/10.1007/s40042-022-00663-z