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  • Letter
  • Open Access

Probing mixed valence states by nuclear spin-spin relaxation time measurements

Y. Ihara1,*, M. Shimohashi1, and M. Kriener2,†

  • *Contact author: yihara@phys.sci.hokudai.ac.jp
  • †Contact author: markus.kriener@riken.jp

Phys. Rev. Research 7, L012080 – Published 24 March, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L012080

Abstract

Several elements in the periodic table exhibit an interesting and often overlooked feature: They skip certain valence states, which is discussed in the field of superconductivity to be in favor of fostering higher transition temperatures Tc. However, from the experimental point of view, it is often deemed difficult to probe changes in the valence state. Here we demonstrate that the latter are accessible by the spin-spin relaxation rate 1/T2 in nuclear magnetic resonance. As target material, we chose the solid solution Ge1−xInxTe, where valence-skipping In induces superconductivity and changes its valence state as a function of x. We observe a strong enhancement in 1/T2(x) and, most importantly, find that 1/T2 and Tc exhibit a strikingly similar x dependence. These results underline the importance of valence physics for the evolution of superconductivity in Ge1−xInxTe. A model based on a Ruderman-Kittel-Kasuya-Yosida type of interaction among the In nuclei is proposed which fully accounts for the experimental results.

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References (32)

  1. C. Varma, Missing valence states, diamagnetic insulators, and superconductors, Phys. Rev. Lett. 61, 2713 (1988).
  2. R. J. Cava, B. Batlogg, J. J. Krajewski, R. Farrow, L. W. Rupp, Jr., A. E. White, K. Short, W. F. Peck, and T. Kometani, Superconductivity near 30 K without copper: the Ba0.6K0.4BiO3 perovskite, Nature (London) 332, 814 (1988).
  3. A. Taraphder and P. Coleman, Heavy-fermion behavior in a negative-U Anderson model, Phys. Rev. Lett. 66, 2814 (1991).
  4. J.-M. Themlin, M. Chtaib, L. Henrard, P. Lambin, J. Darville, and J.-M. Gilles, Characterization of tin oxides by x-ray-photoemission spectroscopy, Phys. Rev. B 46, 2460 (1992).
  5. A. Taraphder, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Negative-U extended Hubbard model for doped barium bismuthates, Phys. Rev. B 52, 1368 (1995).
  6. S. M. Kazakov, C. Chaillout, P. Bordet, J. J. Capponi, M. Nunez-Regueiro, A. Rysak, J. L. Tholence, P. G. Radaelli, S. N. Putilin, and E. V. Antipov, Discovery of a second family of bismuth-oxide-based superconductors, Nature (London) 390, 148 (1997).
  7. J. T. Armstrong, Determination of chemical valence state by x-ray emission analysis using electron beam instruments: Pitfalls and promises, Anal. Chem. 71, 2714 (1999).
  8. K. D. Tsendin and B. P. Popov, Negative-U centres model of high-Tc superconductivity in metal oxides, Supercond. Sci. Technol. 12, 255 (1999).
  9. M. Dzero and J. Schmalian, Superconductivity in charge Kondo systems, Phys. Rev. Lett. 94, 157003 (2005).
  10. Y. Matsushita, H. Bluhm, T. H. Geballe, and I. R. Fisher, Evidence for charge Kondo effect in superconducting Tl-doped PbTe, Phys. Rev. Lett. 94, 157002 (2005).
  11. I. Hase and T. Yanagisawa, Electronic states of valence-skipping compounds, J. Phys. Conf. Ser. 108, 012011 (2008).
  12. Z. Ren, M. Kriener, A. A. Taskin, S. Sasaki, K. Segawa, and Y. Ando, Anomalous metallic state above the upper critical field of the conventional three-dimensional superconductor AgSnSe2 with strong intrinsic disorder, Phys. Rev. B 87, 064512 (2013).
  13. H. U. R. Strand, Valence-skipping and negative-U in the d band from repulsive local Coulomb interaction, Phys. Rev. B 90, 155108 (2014).
  14. A. W. Sleight, Bismuthates: BaBiO3 and related superconducting phases, Physica C 514, 152 (2015).
  15. N. C. Plumb, D. J. Gawryluk, Y. Wang, Z. Ristić, J. Park, B. Q. Lv, Z. Wang, C. E. Matt, N. Xu, T. Shang, K. Conder, J. Mesot, S. Johnston, M. Shi, and M. Radović, Momentum-resolved electronic structure of the high-Tc superconductor parent compound BaBiO3, Phys. Rev. Lett. 117, 037002 (2016).
  16. I. Hase, K. Yasutomi, T. Yanagisawa, K. Odagiri, and T. Nishio, Electronic structure of InTe, SnAs and PbSb: Valence-skip compound or not? Physica C 527, 85 (2016).
  17. I. Hase, T. Yanagisawa, and K. Kawashima, One way to design a valence-skip compound, Nanoscale Res. Lett. 12, 127 (2017).
  18. T. Wakita, E. Paris, K. Kobayashi, K. Terashima, M. Y. Hacisalihoǧlu, T. Ueno, F. Bondino, E. Magnano, I. Píš, L. Olivi, J. Akimitsu, Y. Muraoka, T. Yokoya, and N. L. Saini, The electronic structure of Ag1−xSn1+xSe2 (x=0.0, 0.1, 0.2, 0.25 and 1.0), Phys. Chem. Chem. Phys. 19, 26672 (2017).
  19. A. Kataria, Arushi, S. Sharma, T. Agarwal, M. Pula, J. Beare, S. Yoon, Y. Cai, K. M. Kojima, G. M. Luke, and R. P. Singh, Superconducting ground state study of the valence-skipped compound AgSnSe2, Phys. Rev. B 107, 174517 (2023).
  20. T. Mito, K. Nishitani, T. Koyama, H. Muta, T. Maruyama, G. Pristáš, K. Ueda, T. Kohara, A. Mitsuda, M. Sugishima, and H. Wada, NMR studies of ordered structures and valence states in the successive valence-transition system EuPtP, Phys. Rev. B 90, 195106 (2014).
  21. M. Kriener, M. Sakano, M. Kamitani, M. S. Bahramy, R. Yukawa, K. Horiba, H. Kumigashira, K. Ishizaka, Y. Tokura, and Y. Taguchi, Evolution of electronic states and emergence of superconductivity in the polar semiconductor GeTe by doping valence-skipping indium, Phys. Rev. Lett. 124, 047002 (2020).
  22. M. Kim, S. Klenner, G. M. McNally, J. Nuss, A. Yaresko, U. Wedig, R. K. Kremer, R. Pöttgen, and H. Takagi, Mixed valence and superconductivity in perovskite antimonates, Chem. Mater. 33, 6787 (2021).
  23. S. Nakanishi, Y. Nakai, Y. Goto, Y. Mizuguchi, T. Fujii, and T. Mito, Site-selective NMR/NQR study on layered tin pnictide superconductor NaSn2Pn2 (Pn= P and As), J. Phys. Soc. Jpn. 93, 023703 (2024).
  24. M. Kriener, M. S. Bahramy, Y. Tokura, and Y. Taguchi, Enhancement of superconductivity and its relation to lattice expansion in InxTe (0.84≤x≤1), Phys. Rev. B 106, 134519 (2022).
  25. A. W. Sleight, Valency, valence degeneracy, ferroelectricity, and superconductivity, Prog. Solid State Chem. 37, 251 (2009).
  26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L012080 for complementing data.
  27. M. D. Banus, R. E. Hanneman, M. Stroncin, and K. Gooen, High-pressure transitions in A(III)B(VI) compounds: Indium telluride, Science 142, 662 (1963).
  28. The gyromagnetic ratio of the In115 nuclear spin is γ=9.3295 MHz/T, hence, μ0Href≈4.4 T.
  29. Y. Ihara, K. Hayashi, T. Kanda, K. Matsui, K. Kindo, and Y. Kohama, Nuclear magnetic resonance measurements in dynamically controlled field pulse, Rev. Sci. Instrum. 92, 114709 (2021).
  30. A. Abragam, The Principles of Nuclear Magnetism (Oxford University Press, Oxford, 1983).
  31. A more detailed description is given in Sec. S4 in the SM [26].
  32. This quantum mechanical result can be intuitively understood as follows: When all nuclear spins precess with the same Larmor frequency, the coherence of the resonance is preserved for an extended period of time. On the other hand, if two isospins precess with different frequencies, the dynamical interaction mediated by an RKKY mechanism will destroy the coherence.

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