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In the analysis of the ion diffusion in metal oxides based on muon spin rotation and relaxation ($\mu$SR), the dynamical Kubo-Toyabe (dKT) function has been routinely used to deduce the jump frequency of ions. This is based on the two…

Materials Science · Physics 2025-05-15 Takashi U. Ito , Ryosuke Kadono

Numerical simulations of muon spin relaxation ($\mu$SR) in ion diffusion were performed using the {\sl extended} Kubo-Toyabe (KT) relaxation function $G_z^{\rm EA}(t)$ that incorporates an Edwards-Anderson type autocorrelation function for…

Materials Science · Physics 2026-02-23 Ryosuke Kadono

Hidden magnetic order of Sr$_2$Ir$_{1-x}$Rh$_x$O$_4$, $x = 0.05$ and 0.1, has been studied using muon spin relaxation spectroscopy. In zero applied field and weak longitudinal fields ($\mu_0H_L \lesssim 2$~mT), muon spin relaxation data can…

Strongly Correlated Electrons · Physics 2020-05-13 C. Tan , Z. F. Ding , J. Zhang , Z. H. Zhu , O. O. Bernal , P. -C. Ho , A. D. Hillier , A. Koda , H. Luetkens , G. D. Morris , D. E. MacLaughlin , L. Shu

The dynamical Kubo-Toyabe (dKT) function is extended to describe the spin relaxation under the coexisting dynamical and static internal magnetic fields. A detailed re-evaluation of the previous $\mu^\pm$SR data in Na$_x$CoO$_2$ using this…

Materials Science · Physics 2026-05-27 Takashi U. Ito , Ryosuke Kadono

We extend the previously published model that distinguishes between the diffusive motion of diamagnetic muons and the dynamics of ions around the muon in matter, and propose a generalized model for {\sl paramagnetic muons} (Mu$^0$s, bound…

Atomic Physics · Physics 2025-05-28 Ryosuke Kadono , Takashi U. Ito

Muon Spin Rotation/Relaxation ({\mu}SR) is a powerful probe to study diffusion of hydrogen-like particles. One of the most common model to analyze {\mu}SR signals from materials where diffusion occurs, is by using functions derived from the…

Disordered Systems and Neural Networks · Physics 2011-12-08 J. Rodriguez , A. Amato , E. Pomjakushina

Using a spin-polarized muon beam we were able to capture magnetic dynamics in an amorphous niobium pentoxide thin film. Muons are used to probe internal magnetic fields produced by defects. Magnetic fluctuations could be described by the…

Copper metaborate CuB$_2$O$_{4}$ was studied by muon spin relaxation measurements in order to clarify its static and dynamic magnetic properties. The time spectra of muon spin depolarization suggest that the local fields at the muon site…

Materials Science · Physics 2009-11-11 A. Fukaya , I. Watanabe , K. Yamada , K. Nagamine

We present a muon spin relaxation study on the Ising pyrochlore Nd$_2$Zr$_2$O$_7$ which develops an "all-in-all-out" magnetic order below 0.4~K. At 20~mK far below the ordering transition temperature, the zero-field muon spin relaxation…

Materials Science · Physics 2016-09-07 J. Xu , C. Balz , C. Baines , H. Luetkens , B. Lake

Muon spin rotation and relaxation ($\mu$SR) experiments have been carried out to characterize magnetic and superconducting ground states in the Pr$_{1-x}$Nd$_x$Os$_4$Sb$_{12}$ alloy series. In the ferromagnetic end compound…

Strongly Correlated Electrons · Physics 2015-06-19 D. E. MacLaughlin , P. -C. Ho , Lei Shu , O. O. Bernal , Songrui Zhao , A. A. Dooraghi , T. Yanagisawa , M. B. Maple , R. H. Fukuda

We report results of a muon spin relaxation study of slow magnetic fluctuations in the pseudogap phase of underdoped single-crystalline YBa$_{2}$Cu$_{3}$O$_{y}$, $y = 6.77$ and 6.83. The dependence of the dynamic muon spin relaxation rate…

The local 4f-electronic spin dynamics and magnetic order in YbNi4P2 were studied by means of muon-spin relaxation measurements. Zero-field muon-spin relaxation proves static magnetic order with a strongly reduced ordered Yb3+ moment of…

Strongly Correlated Electrons · Physics 2015-06-04 J. Spehling , M. Günther , C. Krellner , N. Yèche , H. Luetkens , C. Baines , C. Geibel , H. -H. Klauss

Whenever a compound exhibits a spontaneous muSR oscillation, long-range magnetic ordering is usually inferred. Here we show that some caution is required. The coherence length needs not to be large for a spontaneous muon spin precession to…

Strongly Correlated Electrons · Physics 2014-12-22 P. Dalmas de Reotier , A. Yaouanc , A. Maisuradze

We present a non-Markovian theory of muon spin relaxation that treats the implanted muon as an open quantum spin coupled to a temporally correlated local magnetic environment. Using a Schwinger-Keldysh influence-functional formulation, we…

Materials Science · Physics 2026-04-28 Elvis F. Arguelles , Osamu Sugino

We present measurements of magnetic field and frequency dependences of the low temperature (T = 1.8 K) AC-susceptibility, and temperature and field dependences of the longitudinal field positive muon spin relaxation ({\mu}SR) for…

Strongly Correlated Electrons · Physics 2015-06-05 R. C. Johnson , B. Z. Malkin , J. S. Lord , S. R. Giblin , A. Amato , C. Baines , A. Lascialfari , B. Barbara , M. J. Graf

Spin fluctuations have a substantial influence on the electron and lattice behaviors in magnetic materials, which, however, is difficult to be tracked properly by prevalent first-principles methods. We propose a versatile self-adaptive…

Materials Science · Physics 2023-02-14 Zefeng Cai , Ke Wang , Yong Xu , Su-Huai Wei , Ben Xu

Muon spin relaxation ($\mu$SR) and magnetic susceptibility measurements have been performed on the pure and diluted spin 1/2 kagom\'{e} system (Cu$_x$Zn$_{1-x}$)$_{3}$V$_{2}$O$_7$(OH)$_{2}$ 2H$_2$O. In the pure $x=1$ system we found a…

Oxides containing iridium ions display a range of magnetic and conducting properties that depend on the delicate balance between interactions and are controlled, at least in part, by the details of the crystal architecture. We have used…

Strongly Correlated Electrons · Physics 2015-05-27 I. Franke , P. J. Baker , S. J. Blundell , T. Lancaster , W. Hayes , F. L. Pratt , G. Cao

Fluctuation dynamics in magnetization plateaux are a relatively poorly explored area in frustrated magnetism. Here we use muon spin relaxation to determine the fluctuation timescale and associated field distribution width in the partial…

Strongly Correlated Electrons · Physics 2015-05-28 P. J. Baker , J. S. Lord , D. Prabhakaran

Muon spin relaxation (muSR) experiments have been carried out at low temperatures in the non-Fermi-liquid heavy-fermion compound YbRh_2Si_2. The longitudinal-field muSR relaxation function is exponential, indicative that the dynamic spin…

Strongly Correlated Electrons · Physics 2009-11-07 K. Ishida , D. E. MacLaughlin , O. O. Bernal , R. H. Heffner , G. J. Nieuwenhuys , O. Trovarelli , C. Geibel , F. Steglich
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