English

Unstable Spin-Ice Order in the Stuffed Metallic Pyrochlore Pr$_{2+x}$Ir$_{2-x}$O$_{7-\delta}$

Strongly Correlated Electrons 2015-09-30 v1

Abstract

Specific heat, elastic neutron scattering, and muon spin rotation (μ\muSR) experiments have been carried out on a well-characterized sample of "stuffed" (Pr-rich) Pr2+x_{2+x}Ir2x_{2-x}O7δ_{7-\delta}. Elastic neutron scattering shows the onset of long-range spin-ice "2-in/2-out" magnetic order at TM=0.93T_M = 0.93 K, with an ordered moment of 1.7(1)μB\mu_\mathrm{B}/Pr ion at low temperatures. Approximate lower bounds on the correlation length and correlation time in the ordered state are 170 \AA\ and 0.7 ns, respectively. μ\muSR experiments yield an upper bound 2.6(7) mT on the local field Bloc4fB_\mathrm{loc}^{4f} at the muon site, which is nearly two orders of magnitude smaller than the expected dipolar field for long-range spin-ice ordering of 1.7μB\mu_B moments (120--270 mT, depending on muon site). This shortfall is due in part to splitting of the non-Kramers crystal-field ground-state doublets of near-neighbor Pr3+^{3+} ions by the μ+\mu^+-induced lattice distortion. For this to be the only effect, however, \sim160 Pr moments out to a distance of \sim14 \AA\ must be suppressed. An alternative scenario, which is consistent with the observed reduced nuclear hyperfine Schottky anomaly in the specific heat, invokes slow correlated Pr-moment fluctuations in the ordered state that average Bloc4fB_\mathrm{loc}^{4f} on the μ\muSR time scale (107{\sim}10^{-7} s), but are static on the time scale of the elastic neutron scattering experiments (109{\sim}10^{-9} s). In this picture the dynamic muon relaxation suggests a Pr3+^{3+} 4f4f correlation time of a few nanoseconds, which should be observable in a neutron spin echo experiment.

Keywords

Cite

@article{arxiv.1508.02683,
  title  = {Unstable Spin-Ice Order in the Stuffed Metallic Pyrochlore Pr$_{2+x}$Ir$_{2-x}$O$_{7-\delta}$},
  author = {D. E. MacLaughlin and O. O. Bernal and Lei Shu and Jun Ishikawa and Yosuke Matsumoto and J. -J. Wen and M. Mourigal and C. Stock and G. Ehlers and C. L. Broholm and Yo Machida and Kenta Kimura and Satoru Nakatsuji and Yasuyuki Shimura and Toshiro Sakakibara},
  journal= {arXiv preprint arXiv:1508.02683},
  year   = {2015}
}

Comments

14 pages, 9 figures. To appear in Phys. Rev. B