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Register a new userVortices in normal part of proximity system
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Authors
V. G. Kogan
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It is shown that the order parameter $Delta$ induced in the normal part of superconductor-normal-superconductor proximity system is modulated in the magnetic field differently from vortices in bulk superconductors. Whereas $Delta$ turns zero at vortex centers, the magnetic structure of these vortices differs from that of Abrikosovs.
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We calculate the contribution of superconducting fluctuations to the mesoscopic persistent current of an ensemble of rings, each made of a superconducting layer in contact with a normal one, in the Cooper limit. The superconducting transition temperature of the bilayer decays very quickly with the increase of the relative width of the normal layer. In contrast, when the Thouless energy is larger than the temperature then the suppression of the persistent current with the increase of this relative width is much slower than that of the transition temperature. This effect is similar to that predicted for magnetic impurities, although the proximity effect considered here results in pair-weakening as opposed to pair-breaking.
Recently, interest in Superconductor (S)-Normal (N) interfaces was renewed by the observation of exotic proximity effects in various systems, including S/semiconductor, S/ferromagnet, and S/topological insulator. In general, the proximity effect is enhanced in transparent weak links where coherent Andreev reflection is possible. Also, it is a common knowledge that the proximity effect is, by definition, is a localized phenomenon that can only be active in each S/N interface region. However, here we show that a three-dimensional (3D) macroscale proximity effect is realized in few-micrometer-thick MgO/Mg2Si/MgB2 nanocomposite layers with atomically smooth and clean heterointerfaces. We found from scanning superconducting quantum interference device (SQUID) microscopy measurements that a normal region of more than 100x100 square micrometers totally undergoes transition into a bulk-like superconducting state although the normal host originally contains less than ~10 vol % of superconducting MgB2 nanograins in a dispersed manner. In the proximity-induced superconducting region, vortex formation and annihilation processes as well as vortex-free Meissner regions were observed with respect to applied fields in a similar manner as Abrikosov vortices in type-II superconductors. Furthermore, we found that the induced superconducting layers exhibit an anisotropic magnetization behavior, in consistent with the formation of the large-scale superconducting coherence. This unusually extended proximity effect suggests that disorder-induced interaction and coupling of Andreev bound states, which are coherent superposition of time reversed electron hole pairs, is realized in the nanocomposite. Thus, the present results not only expand the limit of the proximity effect to bulk scales, but also provides a new route to obtain a proximity-induced superconducting state from disordered systems.
We analyse the possibility of the appearance of spontaneous currents in proximated superconducting/normal metal (S/N) heterostructure when Cooper pairs penetrate into the normal metal from the superconductor. In particular, we calculate the free energy of the S/N structure. We show that whereas the free energy of the N film $F_{N}$ in the presence of the proximity effect increases compared to the normal state, the total free energy, which includes the boundary term $F_{B}$, decreases. The condensate current decreases $F_{N}$, but increases the total free energy making the current-carrying state of the S/N system energetically unfavorable.
We discuss the quasiparticle entropy and heat capacity of a dirty superconductor-normal metal-superconductor junction. In the case of short junctions, the inverse proximity effect extending in the superconducting banks plays a crucial role in determining the thermodynamic quantities. In this case, commonly used approximations can violate thermodynamic relations between supercurrent and quasiparticle entropy. We provide analytical and numerical results as a function of different geometrical parameters. Quantitative estimates for the heat capacity can be relevant for the design of caloritronic devices or radiation sensor applications.
We have measured the evolution of the tunneling density of states (DOS) in superconductor/ferromagnet (S/F) bilayers with increasing F-layer thickness, where F in our experiment is the strong ferromagnet Ni. As a function of increasing Ni thickness, we detect multiple oscillations in the DOS at the Fermi energy from differential conductance measurements. The features in the DOS associated with the proximity effect change from normal to inverted twice as the Ni thickness increases from 1 to 5 nm.
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