Muon spin relaxation and hyperfine-enhancedPr141nuclear spin dynamics inPr(Os,Ru)4Sb12and(Pr,La)Os4Sb12

Zero- and longitudinal-field muon spin relaxation experiments have been carried out in the alloy series $\mathrm{Pr}{({\mathrm{Os}}_{1\ensuremath{-}x}{\mathrm{Ru}}_{x})}_{4}{\mathrm{Sb}}_{12}$ and ${\mathrm{Pr}}_{1\ensuremath{-}y}{\mathrm{La}}_{y}{\mathrm{Os}}_{4}{\mathrm{Sb}}_{12}$ to elucidate the anomalous dynamic muon spin relaxation observed in these materials. The damping rate $\ensuremath{\Lambda}$ associated with this relaxation varies with temperature, applied magnetic field, and dopant concentrations $x$ and $y$ in a manner consistent with the ``hyperfine enhancement'' of $^{141}\mathrm{Pr}$ nuclear spins first discussed by Bleaney [Physica (Utrecht) 69, 317 (1973)]. This mechanism arises from Van Vleck-like admixture of magnetic ${\mathrm{Pr}}^{3+}$ crystalline-electric-field-split excited states into the nonmagnetic singlet ground state by the nuclear hyperfine coupling, thereby increasing the strengths of spin-spin interactions between $^{141}\mathrm{Pr}$ and muon spins and within the $^{141}\mathrm{Pr}$ spin system. We find qualitative agreement with this scenario and conclude that electronic spin fluctuations are not directly involved in the dynamic muon spin relaxation.

[1]  H. Sugawara,et al.  The unconventional superconductivity of skutterudite PrOs4Sb12 : Time-reversal symmetry breaking and adjacent field-induced quadrupole ordering , 2007 .

[2]  H. Sugawara,et al.  Spin-triplet superconductivity in Pr Os 4 Sb 12 probed by muon Knight shift , 2007 .

[3]  G. Seyfarth,et al.  Superconducting PrOs4Sb12: a thermal conductivity study. , 2006, Physical review letters.

[4]  R. Kiefl,et al.  Magnetic field dependence of muon spin relaxation in geometrically frustrated Gd 2 Ti 2 O 7 , 2006 .

[5]  E. Bauer,et al.  Temperature dependence of the low-energy crystal field excitation in PrOs4Sb12: effect of the energy gap , 2006 .

[6]  A. Ochiai,et al.  Crystalline-electric field of Pr(Os1-xRux)4Sb12Pr(Os1-xRux)4Sb12 , 2006 .

[7]  Pradeep Kumar,et al.  Collective heavy-fermion state and superconductivity in Pr 1-x La x Os 4 Sb 12 : A specific heat study , 2006 .

[8]  I. Watanabe,et al.  Evidence for magnetic ordering associated with metal-insulator transition in SmRu4P12 studied by muon spin relaxation , 2005, cond-mat/0508017.

[9]  R. Ibberson,et al.  Probing the vortex state of PrRu4Sb12 through muon spin rotation and relaxation , 2005 .

[10]  H. Sato,et al.  Multiband superconductivity in the heavy fermion compound PrOs4Sb12. , 2005, Physical review letters.

[11]  H. Sato,et al.  μSR study on filled skutterudite PrRu4P12 , 2005 .

[12]  M. Akatsu,et al.  Quadrupolar effect and rattling motion in the heavy-fermion superconductor PrOs 4 Sb 12 , 2004, cond-mat/0404195.

[13]  N. Butch,et al.  Superconductivity and crystalline electric field effects in the filled skutterudite series Pr ( Os 1 − x Ru x ) 4 Sb 12 , 2003, cond-mat/0307059.

[14]  H. Sato,et al.  Time-reversal symmetry-breaking superconductivity in heavy-fermion PrOs4Sb12 detected by muon-spin relaxation. , 2003, Physical review letters.

[15]  H. Sugawara,et al.  Evidence for Magnetic-Field-Induced Quadrupolar Ordering in the Heavy-Fermion Superconductor PrOs4Sb12 , 2003 .

[16]  H. Sato,et al.  Evidence for unconventional strong-coupling superconductivity in PrOs4Sb12: an Sb nuclear quadrupole resonance study. , 2002, Physical review letters.

[17]  E. Bauer,et al.  Muon spin relaxation and isotropic pairing in superconducting PrOs4Sb12. , 2002, Physical review letters.

[18]  H. Sato,et al.  Thermodynamical Study on the Heavy-Fermion Superconductor PrOs4Sb12: Evidence for Field-Induced Phase Transition , 2002, cond-mat/0206193.

[19]  E. Bauer,et al.  Superconductivity and heavy fermion behavior in PrOs 4 Sb 12 , 2002 .

[20]  K. Machida,et al.  Field Dependence of Electronic Specific Heat in Two-Band Superconductors , 2001, cond-mat/0111088.

[21]  E. J. Freeman,et al.  Kondo insulating behaviour in the filled skutterudite compound CeOs4Sb12 , 2001 .

[22]  H. Harima,et al.  Crystal Electric Fields for Cubic Point Groups , 2001 .

[23]  R. Heffner,et al.  Muon spin relaxation and nonmagnetic Kondo state in PrInAg 2 , 1998, cond-mat/9809243.

[24]  A. Amato Heavy-fermion systems studied by μSR technique , 1997 .

[25]  T. Yamazaki,et al.  Zero-and low-field spin relaxation studied by positive muons , 1979 .

[26]  K. Andres,et al.  Cooling of 3He to 1 mK by nuclear demagnetization of PrNi5 , 1977 .

[27]  B. Bleaney Enhanced nuclear magnetism , 1973 .

[28]  K. Andres Combined Electron-Nuclear Magnetic-Ordering Phenomena in Singlet-Ground-State Systems , 1973 .

[29]  I. Lowe,et al.  Nuclear Spin-Lattice Relaxation via Paramagnetic Centers , 1968 .

[30]  B. Bleaney Crystal field effects and the co-operative state I. A primitive theory , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[31]  G. T. Trammell Magnetic Ordering Properties of Rare-Earth Ions in Strong Cubic Crystal Fields , 1963 .