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B 27, 448–455 (1983). Article  2020-11-20T00:00:00 “You’re on mute,” Sophie says with glee on our morning Teams call. Press, Cambridge, 1991). Geometrical frustration is an important feature in magnetism, where it stems from the relative arrangement of spins.A simple 2D example is shown in Figure 1. Phys. Heiniger, F., Bucher, E., Maita, J. P. & Longinotti, L. D. Thermodynamic properties of superconductors containing impurities in a crystal-field singlet ground state. volume 4, pages766–770(2008)Cite this article. Abstract. J. Phys. The definition is that the coupling energy across a generalized plane boundary between large blocks of spins grows only as the square root of the area of that boundary. Here, we report on inelastic neutron scattering measurements of crystal-field excitations, which show that PrAu2Si2 has a singlet ground state and that the exchange coupling is very close to the critical value to induce magnetic order. Solids 4, 223–226 (1958). Observation of a central mode in an exchange-coupled singlet-groundstate system. Super-Necking Crystal Growth and Structural and Magnetic Properties of SrTb2O4 Single Crystals, d-orbital-frustration-induced ferromagnetic monolayer Cu3O2, Role of spin-glass behavior in the formation of exotic magnetic states in GdB6, Magnetism and anomalous transport in the Weyl semimetal PrAlGe: possible route to axial gauge fields, Microwave assisted synthesis of polynuclear Ni(II) complexes. So how can spin-glass behaviour emerge in … We suggest that PrAu2Si2 reveals a new avenue to achieving frustration in systems with neither static disorder nor geometrically frustrated lattices, through dynamic fluctuations, either thermal or quantum, in proximity to a critical phase boundary. Condens. We have used neutron scattering to study samples of PrAu2(Si1−xGex)2, with x=0, 0.05, 0.10, 0.15, 0.20, 0.80 and 1, which were synthesized by arc melting followed by annealing in vacuum for four weeks at 850 ∘C. Lett. The peak lineshape is modelled by the convolution of a Lorentzian and a Gaussian function. R.T.M. We propose that relaxational broadening of the singlet–doublet transition provides the key. The Lorentzian contribution arises from lifetime broadening, which will be discussed later. However, in the presence of static disorder, the low-temperature phase could also be a spin glass, as shown in ref. Phys. 3). In induced-moment systems, a precursor of long-range order is the appearance in neutron scattering of a quasielastic ‘central’ peak close to the wavevector of the ordered phase, which is caused by fluctuating regions of short-range magnetic order20. J. Phys. This shows that Jex increases by a factor of four from x=0 to 1. 3, we estimate that the Gaussian width rises approximately linearly with x, for x≤0.2 (Fig. Lett. & Vlot, P. The frustration-based approach of supercooled liquids and the glass transition: A review and critical assessment. The blue dashed lines are guides to the eye. de Gennes, P. G. Inelastic magnetic scattering of neutrons at high temperatures. a, The standard deviation σ of the Gaussian broadening of the 0.7 meV transition as a function of germanium doping, x, measured at 20 K, that is, above Tc. Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily. Phys. A recent Mössbauer study, combined with neutron and X-ray diffraction, concluded that interchange of gold and silicon atoms was less than 1% (ref. We propose that spin-glass freezing results from dynamic fluctuations of the crystal-field levels that destabilize the induced moments and frustrate the development of long-range magnetic correlations. Rev. The red (blue) symbols are the antiferromagnetic transition (spin-glass freezing) temperatures as a function of x. 7). This paper gives a precise definition of those spin systems which have the property of “frustration” which is thought to be essential to the canonical spin-glass behavior. This energy broadening will play a significant role in disrupting induced-moment formation. This illustrates that the induced moment is stable in PrAu2Ge2 because of the strength of the exchange interactions, whereas it is unstable in PrAu2Si2 because of its proximity to the phase boundary. Nature 421, 483 (2003). Article  This novel mechanism for producing a frustrated ground state could provide a method of testing the concept of ‘avoided criticality’ in glassy systems. Phys. This would make the PrAu2(Si1−xGex)2 series promising candidates to test their scaling predictions because the degree of frustration can be tuned by varying Jex or Δ with dopant concentration or pressure. There is a considerable body of research on such induced-moment systems, both theoretical9,10 and experimental11,12,13, showing that, for any given value of the low-lying crystal-field transition energy (Δ), there is a critical value of the exchange energy (Jex). & Coles, B. R. Spin-glass to Overhauser-alloy transitions in Yt–rare-earth and Sc–rare-earth alloys. J. Phys. Spin Glass OrderInduced byDynamic Frustration ... also be a spin glass, as shown by Sherrington [15] in a mean field model developed to explain scandium-terbium alloys [16] and PrP0.9 [17]. Before discussing the origin of spin-glass behaviour, we review what is known about magnetic order in singlet ground-state systems. Get the most important science stories of the day, free in your inbox. Phys. Sherrington, D. The induced-moment spin glass: Simple mean-field theory. Phys. Süllow, S. et al. 17). 2. Visualizing Frustration: Through the Spinning Glass - YouTube The important result is that the width remains substantial down to the lowest temperature, with the full-width at half-maximum only falling to a value of 43% of the transition energy at the glass transition. and data analysis by E.A.G. is also supported by Research Enhancement Development at UNC. https://doi.org/10.1038/nphys1028, Physica B: Condensed Matter J. Phys. The red circle marks the measured singlet–doublet transition energy, and the width of the blue hatched region corresponds to the relaxational broadening of the transition.

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