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## Interplay between Josephson and Aharonov-Bohm effects in Andreev interferometers

Proximity induced quantum coherence of electrons in multi-terminal voltage-driven hybrid normalsuperconducting

nanostructures may result in a non-trivial interplay between topology-dependent

Josephson and Aharonov-Bohm effects. We elucidate a trade-off between stimulation of the voltagedependent

Josephson current due to non-equilibrium effects and quantum dephasing of quasiparticles

causing reduction of both Josephson and Aharonov-Bohm currents. We also predict phase-shifted

quantum coherent oscillations of the induced electrostatic potential as a function of the externally

applied magnetic flux. Our results may be employed for engineering superconducting nanocircuits with

controlled quantum properties.

A three-parametrical family of ODEs on a torus arises from a model of Josephson effect in a resistive case when a Josephson junction is biased by a sinusoidal microwave current. We study asymptotics of Arnold tongues of this family on the parametric plane (the third parameter is fixed) and prove that the boundaries of the tongues are asymptotically close to Bessel functions.

We show that a weak external magneticfield affects significantly non-equilibrium quasiparticle (QP) distributions under the conditions of the inverse proximity effect using the single-electron hybrid turnstile as a generic example. Inverse proximity suppresses the superconducting gap in superconducting leads in the vicinity of turnstile junctions, thus trapping hot QPs in this region. An external magnetic field creates additional QP traps in the leads in the form of vortices or regions with a reduced superconducting gap resulting in the release of QPs away from junctions. We present a clear experimental evidence of the interplay of the inverse proximity effect and magnetic field revealing itself in the superconducting gap enhancement and significant improvement of the turnstile characteristics. The observed interplay and its theoretical explanation in the context of QP overheating are important for various superconducting and hybrid nanoelectronic devices, whichfind applications in quantum computation, photon detection and quantum metrology.

An analytic description of Aharonov – Bohm oscillation of the Coulomb potential of an immovable point charge in a magnetized Electronic gas of quantum cylinder is given.

The materials of The International Scientific – Practical Conference is presented below.

The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.

It is interesting for a wide range of researchers, teachers, graduate students and professionals in the field of innovation and information technologies.

Molecular dynamics simulations are carried out to study the translational and rotational diffusion of a single Janus particle immersed in a dense Lennard-Jones fluid. We consider a spherical particle with two hemispheres of different wettabilities. The analysis of the particle dynamics is based on the time-dependent orientation tensor, particle displacement, as well as the translational and angular velocity autocorrelation functions. It was found that both translational and rotational diffusion coefficients increase with decreasing surface energy at the nonwetting hemisphere, provided that the wettability of the other hemisphere remains unchanged. We also observed that in contrast to homogeneous particles, the nonwetting hemisphere of the Janus particle tends to rotate in the direction of the displacement vector during the rotational relaxation time.

International Conference on Micro- and Nano-Electronics 2016

Molecular dynamics simulations are carried out to study the translational and rotational diffusion of

a single Janus particle immersed in a dense Lennard-Jones fluid. We consider a spherical particle

with two hemispheres of different wettabilities. The analysis of the particle dynamics is based

on the time-dependent orientation tensor, particle displacement, as well as the translational and

angular velocity autocorrelation functions. It was found that both translational and rotational diffusion

coefficients increase with decreasing surface energy at the nonwetting hemisphere, provided that

the wettability of the other hemisphere remains unchanged. We also observed that in contrast to

homogeneous particles, the nonwetting hemisphere of the Janus particle tends to rotate in the

direction of the displacement vector during the rotational relaxation time.

The influence of the external pressure and surface energy on the wetting transition at nanotextured interfaces is studied using molecular dynamics and continuum simulations. The surface roughness of the composite interface is introduced via an array of spherical nanoparticles with controlled wettability. We find that in the absence of an external pressure, the liquid interface is flat and its location relative to the solid substrate is determined by the particle size and the local contact angle. With increasing pressure on the liquid film, the interface becomes more curved and the three-phase contact line is displaced along the spherical surface but remains stable due to re-entrant geometry. It is demonstrated that the results of molecular dynamics simulations for the critical pressure of the Cassie-Baxter wetting state agree well with the estimate of the critical pressure obtained by numerical minimization of the interfacial energy.

This volume presents new results in the study and optimization of information transmission models in telecommunication networks using different approaches, mainly based on theiries of queueing systems and queueing networks .

The paper provides a number of proposed draft operational guidelines for technology measurement and includes a number of tentative technology definitions to be used for statistical purposes, principles for identification and classification of potentially growing technology areas, suggestions on the survey strategies and indicators. These are the key components of an internationally harmonized framework for collecting and interpreting technology data that would need to be further developed through a broader consultation process. A summary of definitions of technology already available in OECD manuals and the stocktaking results are provided in the Annex section.