Analysis of charge and orbital order in Fe_{3}O_{4} by Fe L_{2,3} resonant x-ray diffraction

To elucidate charge and orbital order below the Verwey transition temperature TV∼125 K, a thin layer of magnetite partially detwined by growth on the stepped MgO(001) substrate has been studied by means of soft x-ray diffraction at the Fe L2,3 resonance. The azimuth angle, incident photon polarization, and energy dependence of the (0012)c and (001)c reflection intensities have been measured, and analyzed using a configuration-interaction FeO6 cluster model. The azimuth dependence of the (0012)c reflection intensities directly represents the space-group symmetry of the orbital order in the initial state rather than indirectly through the intermediate-state level shifts caused by the order-induced lattice distortions. From the analysis of the (0012)c reflection intensities, the orbital order in the t2g orbitals of B sites below TV is proved to have a large monoclinic deformation with the value of Re[Fxy]/Re[Fyz]∼2. This finding contradicts the majority of theories on the Verwey transition so far proposed. We show that the experimentally observed resonance spectra cannot be explained by orbital and charge orders obtained with recent LDA+U and GGA+U band structure calculations but by a complex- number orbital order with excellent agreement

Exploring language as the “in-between”

Assuming a performative notion of language, this contribution addresses how language functions as a symbolic means and asks for its function for the dialogical self. In accordance with a non-individualistic notion, individuals are related to each other within and by virtue of an in-between. This in-between is called “spacetime of language”: a dynamic evolving across time, perceived as linguistic forms with their chronotopology and the positionings of the performers (self as-whom to other as-whom). With respect to the linguistic forms, the specificity of language functioning is described by Bühler’s term of displacement. The effect of displacement is to generate sharedness by inducing a movement the partners follow, going beyond their actual, sensitive contact. Symbolic displacement, expanding Bühler’s notion, is particularly interesting with regard to the dialogical self: it permits the social construction of several perspectives on self, other, and reality—positions and voices informing the self’s performances

Limitations of rupture forecasting exposed by instantaneously triggered earthquake doublet

Earthquake hazard assessments and rupture forecasts are based on the potential length of seismic rupture and whether or not slip is arrested at fault segment boundaries. Such forecasts do not generally consider that one earthquake can trigger a second large event, near-instantaneously, at distances greater than a few kilometers. Here we present a geodetic and seismological analysis of a magnitude 7.1 intra-continental earthquake that occurred in Pakistan in 1997. We find that the earthquake, rather than a single event as hitherto assumed, was in fact an earthquake doublet: initial rupture on a shallow, blind 2 reverse fault was followed just 19 seconds later by a second rupture on a separate reverse fault 50 km away. Slip on the second fault increased the total seismic moment by half, and doubled both the combined event duration and the area of maximum ground shaking. We infer that static Coulomb stresses at the initiation location of the second earthquake were probably reduced as a result of the first. Instead, we suggest that a dynamic triggering mechanism is likely, although the responsible seismic wave phase is unclear. Our results expose a flaw in earthquake rupture forecasts that disregard cascading, multiple-fault ruptures of this type