23,101 research outputs found

    Microdistribution of oxygen in silicon and its effects on electronic properties

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    The effects of interstitial oxygen on the electrical characteristics of Czochralski-grown silicon crystals were investigated for the first time on a microscale. It was found that the generation of thermal donors is not a direct function of the oxygen concentration. It was further found that the minority carrier life-time decreases with increasing oxygen concentration, on a microscale in as-grown crystals. It was thus shown, again for the first time, that oxygen in as grown crystals is not electronically inert as generally believed. Preannealing at 1200 C commonly employed in device fabrication, was found to suppress the donor generation at 450 C and to decrease the deep level concentrations

    Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations

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    A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs). In addition, the Chebyshev inequality and the Borel-Cantelli lemma are applied to show the almost sure stability of the EM approximate solutions of SFDEs. To show our idea clearly, these results are used to discuss stability of numerical solutions of two classes of special SFDEs, including stochastic delay differential equations (SDDEs) with variable delay and stochastically perturbed equations

    Gap Structure of the Spin-Triplet Superconductor Sr2RuO4 Determined from the Field-Orientation Dependence of Specific Heat

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    We report the field-orientation dependent specific heat of the spin-triplet superconductor Sr2RuO4 under the magnetic field aligned parallel to the RuO2 planes with high accuracy. Below about 0.3 K, striking 4-fold oscillations of the density of states reflecting the superconducting gap structure have been resolved for the first time. We also obtained strong evidence of multi-band superconductivity and concluded that the superconducting gap in the active band, responsible for the superconducting instability, is modulated with a minimum along the [100] direction.Comment: 4 pages, 4 figure

    Liquid-like behavior of supercritical fluids

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    The high frequency dynamics of fluid oxygen have been investigated by Inelastic X-ray Scattering. In spite of the markedly supercritical conditions (T2TcT\approx 2 T_c, P>102PcP>10^2 P_c), the sound velocity exceeds the hydrodynamic value of about 20%, a feature which is the fingerprint of liquid-like dynamics. The comparison of the present results with literature data obtained in several fluids allow us to identify the extrapolation of the liquid vapor-coexistence line in the (P/PcP/P_c, T/TcT/T_c) plane as the relevant edge between liquid- and gas-like dynamics. More interestingly, this extrapolation is very close to the non metal-metal transition in hot dense fluids, at pressure and temperature values as obtained by shock wave experiments. This result points to the existence of a connection between structural modifications and transport properties in dense fluids.Comment: 4 pages, 3 figures, accepted by Phys. Rev. Let

    Fractal Characterizations of MAX Statistical Distribution in Genetic Association Studies

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    Two non-integer parameters are defined for MAX statistics, which are maxima of dd simpler test statistics. The first parameter, dMAXd_{MAX}, is the fractional number of tests, representing the equivalent numbers of independent tests in MAX. If the dd tests are dependent, dMAX<dd_{MAX} < d. The second parameter is the fractional degrees of freedom kk of the chi-square distribution χk2\chi^2_k that fits the MAX null distribution. These two parameters, dMAXd_{MAX} and kk, can be independently defined, and kk can be non-integer even if dMAXd_{MAX} is an integer. We illustrate these two parameters using the example of MAX2 and MAX3 statistics in genetic case-control studies. We speculate that kk is related to the amount of ambiguity of the model inferred by the test. In the case-control genetic association, tests with low kk (e.g. k=1k=1) are able to provide definitive information about the disease model, as versus tests with high kk (e.g. k=2k=2) that are completely uncertain about the disease model. Similar to Heisenberg's uncertain principle, the ability to infer disease model and the ability to detect significant association may not be simultaneously optimized, and kk seems to measure the level of their balance
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