19,473 research outputs found

    Electron transport through a mesoscopic hybrid multiterminal resonant-tunneling system

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    For a mesoscopic hybrid system which contains a normal central region coupled to multiple superconducting leads, a general expression of the current is derived by using nonequilibrium-Green-function method. This current formula can be used to describe the case with time-dependent external fields applied to any parts of the system, arbitrarily finite voltages, and any kinds of interactions in the central region. For a normal two-terminal interacting electron system, this expression reduces to the general time-dependent current formula previously obtained by Wingreen et al. [Phys. Rev. B 98, 8487 (1993)]. As an application, we use this current formula to study a special case of a noninteracting single-level central region coupled to two or three superconducting leads, respectively.published_or_final_versio

    Pseudo-Riemannian manifolds with recurrent spinor fields

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    The existence of a recurrent spinor field on a pseudo-Riemannian spin manifold (M,g)(M,g) is closely related to the existence of a parallel 1-dimensional complex subbundle of the spinor bundle of (M,g)(M,g). We characterize the following simply connected pseudo-Riemannian manifolds admitting such subbundles in terms of their holonomy algebras: Riemannian manifolds; Lorentzian manifolds; pseudo-Riemannian manifolds with irreducible holonomy algebras; pseudo-Riemannian manifolds of neutral signature admitting two complementary parallel isotropic distributions.Comment: 13 pages, the final versio

    Control of the supercurrent in a mesoscopic four-terminal Josephson junction

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    We study the control of the supercurrent in a mesoscopic four-terminal superconductor–normal-metal–superconductor (SNS) junction, in which the N region is a quantum dot connected via tunneling barriers to two superconducting electrodes and two normal electrodes, respectively. By using the nonequilibrium Green’s function method, the current flowing into the quantum dot from each electrode is derived. We find that the supercurrent between two superconducting electrodes can be suppressed and even reversed by changing the dc voltage applied across the two normal terminals, similar to recent experiments of diffusive SNS junctions and previous theories for both the ballistic and diffusive SNS junctions. Then we investigate a three-terminal SNS junction, reduced from the four-terminal junction by decoupling the dot from one normal terminal. We find that even at zero bias of the normal terminal, the supercurrent still can be controlled by changing the coupling strength between the dot and the normal terminal. In addition, both the Andreev reflection current and Andreev quasibound states depend on the phase difference of two superconductors and the coupling strength between the dot and superconducting electrodes. Finally, the behavior of the supercurrent is discussed in the limit when the normal terminals are decoupled from the system.published_or_final_versio

    BπνlB \to \pi \ell \nu_l Width and Vub|V_{ub}| from QCD Light-Cone Sum Rules

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    We employ the BπB\to\pi form factors obtained from QCD light-cone sum rules and calculate the BπνlB\to \pi \ell \nu_l width (=e,μ\ell=e,\mu) in units of 1/Vub21/|V_{ub}|^2, integrated over the region of accessible momentum transfers, 0q212.0 GeV20\leq q^2\leq 12.0 ~GeV^2. Using the most recent BABAR-collaboration measurements we extract Vub=(3.500.33+0.38th.±0.11exp.)×103|V_{ub}|=(3.50^{+0.38}_{-0.33}\big|_{th.}\pm 0.11 \big|_{exp.})\times 10^{-3}. The sum rule results for the form factors, taken as an input for a zz-series parameterization, yield the q2q^2-shape in the whole semileptonic region of BπνB\to \pi\ell\nu_\ell. We also present the charged lepton energy spectrum in this decay. Furthermore, the current situation with BτντB\to \tau\nu_\tau is discussed from the QCD point of view. We suggest to use the ratio of the BπτντB\to \pi \tau\nu_\tau and Bπνl (=μ,e)B\to \pi\ell \nu_l ~(\ell =\mu,e) widths as an additional test of Standard Model. The sensitivity of this observable to new physics is illustrated by including a charged Higgs-boson contribution in the semileptonic decay amplitude.Comment: 22 pages, 8 figures; comments added in section 4, version to be published in Phys. Rev.
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