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Formation of isolated three-spin system Pr-$$mu^+$$-Pr in PrPb$$_3$$

Ito, Takashi   ; Higemoto, Wataru  ; Oishi, Kazuki*; Nishida, Nobuhiko*; Heffner, R. H.; Aoki, Yuji*; Amato, A.*; Onimaru, Takahiro*; Suzuki, Hiroyuki*

An isolated few-spin system including a $$mu^+$$ spin $$S$$ is usually unlikely to be realized in metal. Contrary to the expectation, we actually found an isolated three-spin system $$^{141}$$Pr-$$mu^+$$-$$^{141}$$Pr in a rare-earth intermetallic compound PrPb$$_3$$. This system results in $$mu^+$$ spin precession with six frequencies at regular intervals. Such harmonic frequencies cannot be obtained only from dipolar interactions between $$S$$ and bare $$^{141}$$Pr nuclear spins $$I_{141}$$. Extremely anisotropic enhancement of the $$S$$-$$I_{141}$$ coupling is required. This enhancement can be explained by mechanism of the $$^{141}$$Pr hyperfine-enhanced nuclear magnetism and $$mu^+$$-induced perturbation on 4f-electronic state of two Pr ions next to the $$mu^+$$.

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