Abstract
In SmB\(_6\), the prototypical material of valence fluctuations and Kondo semiconductors, there remain several unsolved problems in the bulk properties at low temperatures. We have studied a single crystalline sample of SmB\({_6}\) by \(^{11}\)B-nuclear magnetic resonance (NMR) measurements with the precise control of the field direction in the \(\left( \bar{1} 1 0 \right) \) plane. The temperature dependence of the nuclear quadrupole frequency \(\nu _\textrm{Q}\) and the full width at half maximum (FWHM), estimated from obtained spectra indicates that there are two distinct low-temperature regions in SmB\(_6\): the first is the region down to approximately 10 K, where a decrease in the FWHM and an increase in \(\nu _\textrm{Q}\) with lowering temperature are understood in the framework of the evolution of the hybridization effects between 4f and conduction electrons accompanied with an intermediate valence state. Below 10 K, the second region, \(\nu _\textrm{Q}\) and the FWHM undergo a sharp change in their temperature dependence. Through both electrical and magnetic interactions, the present results suggest that the low-temperature state below 10 K is dominated by additional physical properties other than the hybridization and the valence fluctuations.
Similar content being viewed by others
Availability of data and materials
The data and materials are available from the corresponding author upon reasonable request.
References
Chazalviel, J.N., Campagna, M., Wertheim, G.K., Schmidt, P.H.: Study of valence mixing in SmB\(_{6}\) by x-ray photoelectron spectroscopy. Phys. Rev. B 14, 4586 (1976). https://doi.org/10.1103/PhysRevB.14.4586
Cohen, R. L., Eibschütz, M., West, K., W.: Electronic and Magnetic Structure of SmB\(_{6}\). Phys. Rev. Lett. 24, 383 (1970). https://doi.org/10.1103/PhysRevLett.24.383
Tarascon, J.M., Isikawa, M., Chevalier, B., Etourneau, J., Hagenmuller, P., Kasaya, M.: Temperature dependence of the samarium oxidation state in SmB\(_{6}\) and Sm\(_{1-x}\)La\(_x\)B\(_{6}\). J. Phys. France 41, 10 (1980). https://doi.org/10.1051/jphys:0198000410100114100
Mizumaki, M., Tsutui, S., Iga, F.: Temperature dependence of Sm valence in SmB\(_6\) studied by X-ray absorption spectroscopy. J. Phys.: Conf. Ser. 176, (2009). https://doi.org/10.1088/1742-6596/176/1/012034
Mandrus, D., Sarrao, J.L., Lacerda, A., Migliori, A., Thompson, J.D., Fisk, Z.: Low-temperature thermal expansion of SmB\(_{6}\): Evidence for a single energy scale in the thermodynamics of Kondo insulators. Phys. Rev. B 49, 16809(R) (1994). https://doi.org/10.1103/PhysRevB.49.16809
Menth, A., Buehler, E., Geballe, T.H.: Magnetic and Semiconducting Properties of SmB\(_{6}\). Phys. Rev. Lett. 22, 295 (1969). https://doi.org/10.1103/PhysRevLett.22.295
Takigawa, M., Yasuoka, H., Kitaoka, Y., Tanaka, T., Nozaki, H., Ishizawa, Y.: NMR Study of a Valence Fluctuating Compound SmB\(_{6}\). J. Phys. Soc. Jpn. 50, 2525 (1981). https://doi.org/10.1143/JPSJ.50.2525
Caldwell, T., Reyes, A.P., Moulton, W.G., Kuhns, P.L., Hoch, M.J.R., Schlottmann, M.J.R., Fisk, Z.: High-field suppression of in-gap states in the Kondo insulator SmB\(_{6}\). Phys. Rev. B 75, 075106 (2007). https://doi.org/10.1103/PhysRevB.75.075106
Nishiyama, K., Mito, T., Pristáš, G., Koyama, T., Ueda, K., Kohara, T., Gabáni, S., Flachbart, K., Fukazawa, H., Kohori, Y., Takeshita, N., Shitsevalova, N., Ikeda, H.: High-pressure induced modifications in the hybridization gap of the intermediate-valence compound SmB\(_{6}\). Phys. Rev. B 93, 121111(R) (2016). https://doi.org/10.1103/PhysRevB.93.121111
Iga, F., Shimizu, N., Takabatake, T.: Single crystal growth and physical properties of Kondo insulator YbB\(_{12}\). J. Magn. Magn. Mater. 177–181, 337–338 (1998). https://doi.org/10.1016/S0304-8853(97)00493-9
Nishiyama, K., Mito, T., Pristáš, G., Hara, Y., Koyama, T., Ueda, K., Kohara, T., Akahama, Y., Gabáni, S., Reiffers, M., Flachbart, K., Fukazawa, H., Kohori, Y., Takeshita, N., Shitsevalova, N.: Pressure-induced localization of 4f electrons in the intermediate valence compound SmB\(_{6}\). J. Phys. Soc. Jpn. 82, 123707 (2013). https://doi.org/10.7566/JPSJ.82.123707
Acknowledgements
This work was supported by JSPS KAKENHI (Grants Nos. 22J15100 (2022), 16K05457, 21K03450, and 21K03475).
Funding
This work was financially supported by JSPS KAKENHI (Grants Nos. 22J15100 (2022), 16K05457, 21K03450, and 21K03475).
Author information
Authors and Affiliations
Contributions
T.N. conducted experiments and prepared figures 1-2, and T.N. and M.T. wrote the main manuscript text. F.I. provided a high-quality sample. T.F. and Y.N. contributed to deepening the interpretation of the experimental results. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Ethical standard
Not applicable.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Nishikawa, T., Fujii, T., Nakai, Y. et al. Angle-controlled \(\mathrm {^{11}}\)B-NMR studies of Kondo insulator SmB\(_{6}\). Hyperfine Interact 245, 17 (2024). https://doi.org/10.1007/s10751-024-01858-5
Accepted:
Published:
DOI: https://doi.org/10.1007/s10751-024-01858-5