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## Josephson dynamics and Shapiro steps at high transmissions: current bias regime

Beilstein Journal of Nanotechnology. 2024. Vol. 15. P. 51-56.

Galaktionov A. V., Zaikin A.

We investigate Josephson dynamics of highly transparent superconducting nanojunctions at subgap voltages and temperatures. In this limit, intrinsic dissipation in such junctions turns out to be sub-Ohmic, which yields a linear dependence of the average voltage on the bias current I slightly exceeding the critical one Ic. We demonstrate a strong impact of intrinsic sub-Ohmic dissipation on integer Shapiro steps appearing on the I–V curve in the presence of external microwave radiation.

Galaktionov A., Andrei D. Zaikin, Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 107 No. 21 Article 214507

We theoretically analyze Josephson dynamics of superconducting weak links with transmissions T not much smaller than unity at subgap bias voltages V. Employing the effective action approach cjmbined with the Keldysh technique, we develop a regular perturbation theory in R=1-T and derive the first odrder correction to the current across the weak link, which consists ...

Added: April 17, 2024

Kalenkov M. S., Dolgirev P. E., Zaikin A., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 101 No. 18 P. 180505-1-180505-5

We demonstrate that a temperature gradient can strongly stimulate the thermoelectric signal, as well as
dc Josephson current, in multiterminal superconducting hybrid nanostructures. At temperatures T sufficiently
exceeding the Thouless energy of our device, both the supercurrent and the thermoinduced voltage are
dominated by the contribution from nonequilibrium low-energy quasiparticles and are predicted to decay slowly
(algebraically rather than ...

Added: May 10, 2020

Dolgirev P. E., Kalenkov M. S., Zaikin Andrei D., Scientific Reports 2019 Vol. 9 P. 1-9

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 ...

Added: March 11, 2019

Dolgirev P. E., Kalenkov M. S., Zaikin Andrei D., Physica Status Solidi - Rapid Research Letters 2019 Vol. 13 No. 1 P. 1800252-1-1800252-5

We theoretically investigate coherent oscillations of the thermopower S as a function of the magnetic flux Ф in six-terminal Andreev interferometers. We demonstrate that the thermopower behavior is determined by a number of
contributions originating from the Josephson- and Aharonov–Bohm-like effects as well as from electron–hole asymmetry. The relative weight of these contributions depends on the ...

Added: October 26, 2018

Galaktionov A. V., Golubev D. S., Zaikin Andrei D., European Physical Journal: Special Topics 2019 Vol. 227 No. 15/16 P. 2001-2012

We analyze a trade-o between thermal activation (TA) and quantum tunneling in the problem of supercurrent decay in superconducting junctions with highly transparent barriers. In such systems -- unlike in conventional tunnel junctions -- the supercurrent decay is essentially influenced by low energy Andreev levels forming an intrinsic quantum dissipative environment for the Josephson particle. ...

Added: March 11, 2019

Zaikin A., Golubev D. S., Singapore : Pan Stanford Publishing, 2019

Continuing miniaturization of electronic devices, together with the quickly growing number of nanotechnological applications, demands a profound understanding of the underlying physics. Most of the fundamental problems of modern condensed matter physics involve various aspects of quantum transport and fluctuation phenomena at the nanoscale. In nanostructures, electrons are usually confined to a limited volume and ...

Added: September 12, 2019

Осин А. С., Fominov Y., В кн. : Труды XXVI Международного симпозиума «Нанофизика и наноэлектроника». Т. 1.: Н. Новгород : Издательство Нижегородского университета, 2022. С. 108-109.

Мы рассматриваем планарный джозефсоновский SIS-контакт между диффузными сверхпроводниками (S) через диэлектрический туннельный барьер (I) и строим полностью самосогласованную теорию возмущений по кондактансу границы. В результате мы находим поправку к первой гармонике джозефсоновского тока и вычисляем вторую джозефсоновскую гармонику. В случае произвольной температуры наша теория исправляет имевшиеся ранее в литературе результаты для несинусоидального ток-фазового соотношения в ...

Added: December 7, 2022

Ovcharenko H. V., Maizelis Z. A., Apostolov S. S. et al., Physical Review B: Condensed Matter and Materials Physics 2022 Vol. 106 No. 17 Article 174511

We theoretically study the propagation of a terahertz (THz) Gaussian beam through a thin sample of layered superconductor. We consider the beam axis and the superconducting layers to be perpendicular to the sample interface, while the electric field in the beam is perpendicular to the layers. We show that, in such a geometry, the Josephson ...

Added: February 6, 2023

Osin A. S., Fominov Ya.V., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 104 No. 6 Article 064514

We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). We construct fully self-consistent perturbation theory with respect to the interface conductance. As a result, we find correction to the first Josephson harmonic and calculate the second Josephson harmonic. At arbitrary temperatures, we correct previous results for the ...

Added: September 2, 2021

Romaskevich O. L., Клепцын В. А., Schurov I., Наноструктуры. Математическая физика и моделирование 2013 Т. 8 № 1 С. 31-46

In order to model the processes taking place in systems with Josephson contacts, a differential equation on a torus with three parameters is used. One of the parameters of the system can be considered small and the methods of the fast-slow systems theory can be applied. The properties of the phase-lock areas - the subsets ...

Added: December 25, 2012

Sasaki A., Ikegaya S., Habe T. et al., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 101 No. 184501 P. 184501-1-184501-6

We study theoretically the Josephson effect between two two-band superconductors respecting time-reversal
symmetry, where we assume a spin-singlet s-wave pair potential in each conduction band. The superconducting
phase at the first band ϕ1 and that at the second band ϕ2 characterize a two-band superconducting state. We
consider a Josephson junction where an insulating barrier separates two such two-band ...

Added: October 8, 2020

Schurov I., Клепцын В. А., Romaskevich O. L., Наноструктуры. Математическая физика и моделирование 2013 Т. 8 № 1 С. 31-46

In order to model the processes taking place in systems with Josephson contacts, a differential equation on a torus with three parameters is used. One of the parameters of the system can be considered small and the methods of the fast-slow systems theory can be applied. The properties of the phase-lock areas – the subsets ...

Added: December 17, 2014

Бухштабер В. М., Glutsyuk A., Труды Математического института им. В.А. Стеклова РАН 2017 Т. 297 С. 62-104

Abstract—We study a family of double confluent Heun equations of the form LE = 0, where
L = L(λ,μ,n) is a family of second-order differential operators acting on germs of holomorphic
functions of one complex variable. They depend on complex parameters λ, μ, and n. The
restriction of the family to real parameters satisfying the inequality λ + μ^2>0 ...

Added: June 29, 2018

Demenev A. A., Grishina Y. V., Larionov A. V. et al., Physical Review B: Condensed Matter and Materials Physics 2017 Vol. 96 No. 15 P. 155308-1-155308-10

We address polarization instability in a freely decaying polariton condensate created by 2-ps-long linearly polarized laser pulses in the upper sublevel of the lower-polariton (LP) branch in a GaAs-based microcavity with reduced symmetry. The generated linearly polarized condensate is found to lose its stability at excitation densities above the threshold value: it passes into the ...

Added: February 15, 2018

Mal'shukov A., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 102 P. 134509-1-134509-5

The Zeeman interaction results in spontaneous current through a Josephson contact with a spin-orbit coupled
normal metal, even in the absence of any voltage, or phase bias. In the case of the Rashba spin-orbit coupling
of electrons in a two-dimensional (2D) electron gas this effect takes place for the Zeeman field which is parallel
to the 2D system ...

Added: January 20, 2021

Arutyunov K., , in : Physics, Chemistry and Applications of Nanostructures: REVIEWS AND SHORT NOTE. : Minsk : World Scientific, 2013. P. 191-194.

Conventional superconductivity in bulk objects is characterized by three phenomenological features: zero resistivity, perfect diamagnetism ( Meissner effect) and energy gap in the excitation spectrum. In this paper we demonstrate that these attributes of superconductivity do not apply to ultra-small objects governed by the essentially nanoscale phenomenon which is quantum fluctuations. The observation results in ...

Added: June 2, 2015

Glutsyuk A., Filimonov D., Kleptsyn V. et al., / Cornell University. Series math "arxiv.org". 2013. No. 1301.7159.

In the present paper we investigate two-parametric family of nonautonomous ordinary differential equations on the two-torus that model the Josephson effect from superconductivity. We study its rotation number as a function of parameters and its Arnold tongues (also called phase locking domains): the level sets of the rotation number that have non-empty interior. The Arnold ...

Added: May 15, 2013

Schurov I., Клепцын В. А., Romaskevich O. L., Наноструктуры. Математическая физика и моделирование 2014 Т. 8 № 1 С. 31-46

In order to model the processes taking place in systems with Josephson contacts, a differential equation on a torus with three parameters is used. One of the parameters of the system can be considered small and the methods of the fast-slow systems theory can be applied. The properties of the phase-lock areas – the subsets ...

Added: December 25, 2014

Golubev D. S., Galaktionov A. V., Zaikin Andrei D., Physica Status Solidi - Rapid Research Letters 2019 Vol. 13 No. 1 P. 1800256-1-1800256-7

The study of frequency-dependent intrinsic dissipation in a highly transparent Josephson junction by means of quantum-bit (qubit) spectroscopy is proposed. The spectral density of the effective dissipative bath may contain significant contributions from Andreev bound states coupled to fluctuations of the Josephson phase. Varying either the bias current applied to the junction or magnetic flux ...

Added: October 26, 2018

Titova N., Kardakova A., Tovpeko N. et al., IEEE Transactions on Applied Superconductivity 2017 Vol. 27 No. 4 P. 1-4

We have measured the electron-phonon energy-relaxation time, τeph, in superconducting boron-doped diamond films grown on silicon substrate by chemical vapor deposition. The observed electron-phonon cooling times vary from 160 ns at 2.70 K to 410 ns at 1.8 K following a T -2-dependence. The data are consistent with the values of τeph previously reported for single-crystal ...

Added: October 18, 2017

Lounis B., Buzdin A. I., Physical Review B: Condensed Matter and Materials Physics 2022 Vol. 105 No. 2 Article L020504

We theoretically study the nonequilibrium dynamics of the order parameter of a superconducting ring inhomogeneously quenched through its transition temperature. Numerical simulations based on spectral decomposition of the time-dependent Ginzburg-Landau equation reveal that current-carrying superconducting states can be generated in the ring under certain fast local temperature quench conditions. We also show that illumination of ...

Added: December 10, 2022

Leuven : KU Leuven Methusalem Group, 2015

Added: March 22, 2016

Arutyunov K., Lehtinen J. S., Beilstein Journal of Nanotechnology 2020 Vol. 11 P. 417-420

Chain of superconductor-insulator-superconductor junctions based on Al-AlOx-Al... lift-off fabricated nanostructures was measured at ultra-low temperatures. At zero magnetic field the low current bias dynamic resistance can reach values ~1011 W. The system has been proved to provide a decent quality current biasing circuit enabling observation of Coulomb blockade and Bloch oscillations in ultra-narrow Ti nanowires ...

Added: September 18, 2020

Glutsyuk A., Journal of Dynamical and Control Systems 2019 Vol. 25 No. 3 P. 323-349

In 1973, B. Josephson received a Nobel Prize for discovering a new fundamentaleffect concerning a Josephson junction,—a system of two superconductors separated by a very narrow dielectric: there could exist a supercurrent tunneling through this junction. We will discuss the model of the overdamped Josephson junction, which is given by a family of first-order nonlinear ...

Added: August 20, 2018