3,439 research outputs found

    From parameter space constraints to the precision determination of the leptonic Dirac CP phase

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    We discuss the precision determination of the leptonic Dirac CP phase δCP\delta_{CP} in neutrino oscillation experiments, where we apply the concept of ``CP coverage''. We demonstrate that this approach carries more information than a conventional CP violation measurement, since it also describes the exclusion of parameter regions. This will be very useful for next-generation long baseline experiments where for sizable sin22θ13\sin^2 2 \theta_{13} first constraints on δCP\delta_{CP} can be obtained. As the most sophisticated experimental setup, we analyze neutrino factories, where we illustrate the major difficulties in their analysis. In addition, we compare their potential to the one of superbeam upgrades and next-generation experiments, which also includes a discussion of synergy effects. We find a strong dependence on the yet unknown true values of sin22θ13\sin^2 2 \theta_{13} and δCP\delta_{CP}, as well as a strong, non-Gaussian dependence on the confidence level. A systematic understanding of the complicated parameter dependence will be given. In addition, it is shown that comparisons of experiments and synergy discussions do in general not allow for an unbiased judgment if they are only performed at selected points in parameter space. Therefore, we present our results in dependence of the yet unknown true values of sin22θ13\sin^2 2 \theta_{13} and δCP\delta_{CP}. Finally we show that for δCP\delta_{CP} precision measurements there exist simple strategies including superbeams, reactor experiments, superbeam upgrades, and neutrino factories, where the crucial discriminator is sin22θ13102\sin^2 2 \theta_{13} \sim 10^{-2}.Comment: 32 pages, 9 figure

    Abrupt appearance of the domain pattern and fatigue of thin ferroelectric films

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    We study the domain structure in ferroelectric thin films with a `passive' layer (material with damaged ferroelectric properties) at the interface between the film and electrodes within a continuous medium approximation. An abrupt transition from a monodomain to a polydomain state has been found with the increase of the `passive' layer thickness dd. The domain width changes very quickly at the transition (exponentially with d2d^{-2}). We have estimated the dielectric response dP/dEdP/dE (the slope of the hysteresis loop) in the `fatigued' multidomain state and found that it is in agreement with experiment, assuming realistic parameters of the layer. We derive a simple universal relation for the dielectric response, which scales as 1/d1/d, involving only the properties of the passive layer. This relation qualitatively reproduces the evolution of the hysteresis loop in fatigued samples and it could be tested with controlled experiments. It is expected that the coercive field should increase with decreasing lateral size of the film. We believe that specific properties of the domain structure under bias voltage in ferroelectrics with a passive layer can resolve the long-standing `paradox of the coercive field'.Comment: 5 pages, REVTeX 3.1 with two eps-figures. Minor amendments. To appear in Phys. Rev. Letter
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