• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Selfconsistent 3D model of SN-N-NS Josephson junctions
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 22, 2026
Personal Interest in Doctoral Thesis Topic Most Important for Confidence in Successful Defence
A researcher at HSE University analysed data on 1,539 doctoral students from 161 Russian universities to identify which features of a thesis topic are associated with academic success and engagement. The most important factor was found to be personal interest in the research topic, which was associated with almost all key aspects of doctoral programme experience—from engaging with the academic supervisor to research activity and confidence about successfully defending the thesis. The findings have been published in Higher Education.
September 21, 2026
Researchers Develop Methodology to Assess the Quality of Legal Representation in Criminal Proceedings
Having a good defence attorney in criminal proceedings can largely determine whether a defendant retains their freedom, health and good name. Researchers at HSE University propose a method for predicting an attorney’s performance based on the outcomes of their previous cases. The methodology takes into account the severity of the charges, the complexity of the cases, and the most likely outcome, drawing on judicial statistics.
September 21, 2026
Algebra, Geometry, and AI: Russian and Vietnamese Mathematicians Discuss Current Research
A delegation of scientists from Hanoi visited the HSE Faculty of Computer Science and then took part in a Russian-Vietnamese conference in St Petersburg. The events were part of the three-year project ‘Flexibility and Computational Methods.’ Over the course of the project, the researchers have prepared joint publications and obtained new mathematical results.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Selfconsistent 3D model of SN-N-NS Josephson junctions

Superconductor Science and Technology. 2022. Vol. 34. No. 11. Article 115022.
Bosboom V., Van der Vegt J. J., Kupriyanov M. Y., A. A. Golubov

We develop a quantitative model describing the distribution of the supercurrent density and
density of states in SN-N-NS type Josephson junctions in three dimensions (S is a
superconductor and N is a normal metal). The model is based on the self-consistent solution of
the quasiclassical Usadel equations using the finite element method. We investigate the
influence of the proximity effect on the properties of the junction as a function of phase
difference across the structure for various spatial dimensions and material parameters of S, N
metals. The results are consistent with analytical solutions in the thin N layer limit and show
consistent behavior for a large range of junction parameters. The results may serve to design
nanoscale Josephson junctions for use in superconducting digital circuits.

Research target: Physics
Language: English
Full text
DOI
Text on another site
Keywords: superconductivityfinite element methodcritical currentproximity effectdensity of statesUsadel equations
Similar publications
Особенности взаимодействия мощного импульсного лазерного излучения с материалами вакуумной камеры термоядерного реактора
Боровицкая И. В., Пименов В. Н., Коршунов С. Н. et al., Перспективные материалы 2026 № 10 С. 37–54
Проведено сравнение, обобщение и систематизация механизмов эрозии и разрушения поверхности малоактивируемых материалов, перспективных для использования в качестве материалов вакуумной камеры термоядерных реакторов: ванадия, его сплава V – 10 Ti – 6 Cr – 0,05 Zr – 0,1 Si и вольфрама при последовательном воздействии на них ионных и тепловых потоков. Тепловые потоки имитировали с помощью мощного импульсного лазерного излучения (ЛИ), создаваемого ...
Added: September 22, 2026
DOUBLE-RESONANCE RESPONSE OF A SUPERCONDUCTING QUANTUM METAMATERIAL: MANIFESTATION OF NONCLASSICAL STATES OF PHOTONS
Iontsev M.A., Mukhin S. I., Fistul M. V., Physical Review B: Condensed Matter and Materials Physics 2016 Vol. 94 No. 17 P. 174–510
We report a theoretical study of the ac response of superconducting quantum metamaterials (SQMs), i.e., an array of qubits (two-level systems) embedded in a low-dissipative resonator. By making use of a particular example of a SQM, namely the array of charge qubits capacitively coupled to the resonator, we obtain a second-order phase transition between an ...
Added: September 22, 2026
Interaction-limited conductivity of twisted bilayer graphene revealed by giant terahertz photoresistance
Shilov A. L., Elesin L., Kravtsov M. et al., Nature Communications 2026 Vol. 17 No. 1 Article 9734
Identifying the microscopic processes limiting conductivity is essential for understanding correlated quantum materials. In twisted bilayer graphene, metallic resistivity follows ρ ~ Tα with widely varying α, fueling competing interpretations from phonon-limited transport and umklapp scattering to strange metallicity and heavy-fermion renormalization. Here, we use terahertz excitation to selectively heat electrons while keeping the lattice cold, separating ...
Added: September 20, 2026
Drift Towards Isotropization during the 3D Hydrodynamic Turbulence Onset
Копьев А., JETP Letters 2026 Vol. 123 No. 5 P. 310–316
The incompressible three-dimensional Euler equations develop very thin pancake-like regions of exponen tially increasing vorticity. The characteristic thickness of such regions decreases exponentially with time, while the other two dimensions do not change considerably, making the flow near each pancake strongly anisotropic. The pancakes emerge in increasing number with time, which may enhance the anisotropy ...
Added: September 18, 2026
Structural properties of cyanobiphenyl nematics doped with gold nanoparticles: The result of MD simulations
Захаров А. В., Düven H., Capar M. I., Physics Letters A 2026 No. 576 Article 131388
Molecular dynamics simulations were carried out to study the structural properties of nematic pentyl  cyanobiphenyl (5CB) and pentyloxy cyanobiphenyl (5OCB) liquid crystals (LCs) doped with gold nanoparti cles (GNPs) of different numbers, shapes and sizes. The spherical GNPs of two different radii and rod-like have  been doped in 5CB and 5OCB cyanobiphenyl liquid crystals. In order to describe ...
Added: September 17, 2026
The Effect of the Gate Material in MIS Structures on the High-Field Charge Degradation in the Gate Dielectric
Andreev D. V., Kornev S. A., Bondarenko G.G. et al., Inorganic Materials: Applied Research 2026 Vol. 17 No. 5 P. 1226–1230
Comparative studies are carried out to investigate high-field charge degradation effects in the gate dielectric of metal—insulator—semiconductor (MIS) structures with aluminum and polysilicon gates. Charging phenomena in MIS structures are explored using high-field electron injection into the dielectric under conditions of gradually increasing voltage current density, with periodic short-term switching to a measurement mode at a constant low injection ...
Added: September 15, 2026
Vague stimulating ideas, images and metaphors in scientific thinking: researchers' work with horizons of unclear knowledge
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Water confined in heterogeneous clay–quartz pores: Structure and dynamics from atomistic simulations
Glushak A., Tararushkin E., Smirnov G., Colloids and Surfaces A: Physicochemical and Engineering Aspects 2027 Vol. 752 Article 141756
The molecular-scale behavior of water in heterogeneous clay–quartz systems is critical for understanding cementation processes in natural soils and compacted bentonite, which is crucial for oil recovery and nuclear waste disposal barriers construction. Here we investigate how heterogeneity of mixed Na-montmorillonite and α-quartz surfaces affect water structure and dynamics in nanopores of 2.5 to 60 Å ...
Added: September 15, 2026
Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
Bochkin G., Doronin S., Fel’dman E. et al., Lobachevskii Journal of Mathematics 2024 Vol. 45 No. 3 P. 1188–1207
We consider the remote state restoring and perfect transfer of the zero-order coherence matrix (PTZ) in a spin system governed by the XXZ-Hamiltonian conserving the excitation number. The restoring tool is represented by several nonzero Larmor frequencies in the Hamiltonian. To simplify the analysis we use two approximating models including either step-wise or pulse-type time-dependence ...
Added: September 14, 2026
Coherence restoring in communication line via controlled interaction with environment
Fel’dman E. B., Lazarev I., Pechen A. N. et al., Quantum Information Processing 2026 Vol. 25 Article 121
We consider the state-restoring protocol based on the controlled interaction of a linear chain with environment through incoherent control by the specially adjusted step-wise time-dependent Lindblad operators. We show that the best restoring result (maximal scale factors in the restored state) corresponds to the symmetrical Lindblad equation. (0, 1)-excitation dynamics is considered numerically, and restoring ...
Added: September 14, 2026
Macroscopic entanglement distribution with atomic ensembles
Li S., Hu J., Lazarev I. et al., Annals of Physics 2026 Vol. 494 Article 170618
The distribution of entanglement is a crucial task for quantum communication towards realizing a globe-spanning quantum internet. Recently, a protocol for deterministic long-distance distribution of macroscopic entanglement over a network of ensembles of qubits was introduced (Pyrkov et al., 2025). It was shown that this protocol allows for the propagation of macroscopic amounts of entanglement ...
Added: September 14, 2026
Quantum Repeater Protocol for Deterministic Distribution of Macroscopic Entanglement, Advanced Quantum Technologies
Pyrkov A., Lazarev I., Byrnes T., Advanced Quantum Technologies 2025 Article 2400524
Distributing long-distance entanglement is a fundamental goal that is necessary for a variety of tasks such as quantum communication, distributed quantum computing, and quantum metrology. Currently quantum repeater schemes typically aim to distribute one ebit at a time, the equivalent of one Bell pair's worth of entanglement. Here, a scheme is presented to distribute a ...
Added: September 14, 2026
Hybrid quantum-classical unsupervised data clustering based on the self-organizing feature map
I. D. Lazarev, Narozniak M., Byrnes T. et al., Physical Review A: Atomic, Molecular, and Optical physics 2025 Vol. 111 No. 012416 Article 012416
Unsupervised machine learning is one of the main techniques employed in artificial intelligence. We introduce an algorithm for quantum-assisted unsupervised data clustering using the self-organizing feature map, a type of artificial neural network. The complexity of our algorithm scales as 𝑂⁡(𝐿⁢𝑁), in comparison to the classical case which scales as 𝑂⁡(𝐿⁢𝑀⁢𝑁), where 𝑁 is the ...
Added: September 14, 2026
Mixing of real and quantum gases
Борщевский А. Я., Physical Chemistry Chemical Physics 2025 Vol. 27 No. 9 P. 4793–4803
Through the consistent application of quantum statistical thermodynamics, functions of isothermal mixing of real rarefied gases and quantum gases in states of varying degrees of degeneracy are obtained. The reasons for the emergence and resolution of the “Gibbs paradox” and other “paradoxes” are analyzed. Numerical calculations of entropy and pressure jumps were performed using the ...
Added: September 14, 2026
Bridging experiment and molecular dynamics: Mefenamic acid confinement in nanocrystalline cellulose aerogels under scCO2 conditions
D.L. Gurina, Fashchevsky K. A., Oparin R. D. et al., Surfaces and Interfaces 2026 Vol. 98 Article 110545
In this work, we combine experimental characterization and molecular dynamics (MD) simulations to elucidate the molecular mechanisms governing the impregnation of mefenamic acid (MFA) into nanocrystalline cellulose (NCC) aerogels. NCC aerogels were impregnated with MFA in scCO2, and low-temperature nitrogen adsorption revealed a concentration-dependent decrease in surface area, pore volume, and pore size, with an ...
Added: September 8, 2026
Configuration-dependent edge and corner superconductivity in 𝑠-wave kagome superconductors
Huang D., Chen Y., Luo X. et al., Chinese Journal of Physics 2026 Vol. 103 P. 1803–1814
Using self-consistent Bogoliubov-de Gennes calculations for kagome flakes framed by armchair and flat edges, we observe a configuration-dependent spatial inhomogeneity of an 𝑠-wave superconducting condensate. Specifically, at half-filling, the local pair potential is significantly enhanced by up to 77.8% at edge centers and up to 148.9% at corners, subsequently boosting their local critical temperatures by up to 13.5% and ...
Added: September 7, 2026
Interband effects in the intertype regime of dirty two-band superconductors
P. M. Marychev, A. A. Shanenko, Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074509
We investigate the effect of weak interband impurity scattering on the intertype (IT) domain between type-I and type-II superconductivity in diffusive two-band superconductors. Our results show that the significant broadening of the IT domain with increasing band diffusivity ratio, previously established in the absence of interband scattering, persists under weak interband scattering. However, depending on ...
Added: September 7, 2026
Элементы теории топологических изоляторов
Denis K., Н. Новгород: Нижегородский государственный университет им. Н.И. Лобачевского, 2025.
В учебном пособии излагаются элементы теории и описание избранных экспериментальных результатов, полученных в активно развивающейся физике топологических изоляторов. Рассмотрены наиболее простые модели поверхностных и краевых состояний в двумерных и трёхмерных топологических изоляторах, их структура в магнитном поле, а также основы топологических методов для определения их свойств. Обсуждаются модели квантовых точек, формируемых в топологических изоляторах. Приведены ...
Added: September 6, 2026
Temperature-driven structural crossover of vortex matter in a Penrose quasicrystal
Tomayeva M., Vyacheslav D. Neverov, Arkady A. Shanenko et al., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 2 Article 024516
We report a thermally driven structural crossover of vortex matter in a two-dimensional superconducting Penrose quasicrystal. At low temperatures, vortices are pinned by the quasiperiodic lattice, forming an aperiodic pattern. With increasing temperature, vortex-vortex interactions dominate, leading to a conventional triangular Abrikosov lattice. Our findings reveal a tunable interplay between intrinsic pinning and vortex interactions, ...
Added: September 5, 2026
Analytical solution of coupled self-consistency and linearized Usadel equations for dirty superconductors near 𝑇𝑐 and with the proximity effect
S. S. Seidov, N. G. Pugach, Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074504
In this manuscript we consider a superconducting film in the vicinity of the critical temperature and presence of the proximity effect. We analytically solve the corresponding linearized Usadel equation and the self-consistency equation, defining the critical temperature. This is a system of coupled differential and integral equations for the anomalous Green's function and the order parameter of ...
Added: August 13, 2026
Proximity-effect engineering in aluminum-based planar Josephson junctions with intrinsic superconductivity
Polevoy K. B., Bakurskiy S. V., Ruzhickiy V. I. et al., Physical Review Applied 2026 Vol. 25 P. 024030-1–024030-12
We present a comprehensive study of planar Nb-Al-Nb Josephson junctions with submicrometer dimen sions (L ≈ 100 nm, active area of approximately 5 × 104 nm2), where the intrinsic superconductivity of the aluminum weak link plays a crucial role in enhancing device performance. Through a combi nation of theoretical modeling and experimental characterization, we demonstrate ...
Added: July 2, 2026
Optical conductivity of a dirty current-carrying superconductor
Polkin A., Skvortsov M., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 113 No. 17 Article 174516
We develop a full microscopic theory for the optical conductivity 𝜎⁡(𝜔) of a dirty current-carrying superconductor. Within the Keldysh sigma model formalism, we obtain the general analytical expression for 𝜎⁡(𝜔), applicable for arbitrary frequency 𝜔, temperature 𝑇, and dc supercurrent 𝐼. In addition to altering the usual Mattis-Bardeen conductivity 𝜎1⁡(𝜔), a finite supercurrent introduces two new contributions: 𝜎qp2⁡(𝜔) from quasiparticle redistribution and 𝜎SH2⁡(𝜔) from the amplitude ...
Added: June 25, 2026
Thermal phase slips in superconducting films
Skvortsov M., Artem V. Polkin, Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 113 No. 10 Article L100502
A dissipationless supercurrent state in superconductors can be destroyed by thermal fluctuations. Thermally activated phase slips provide a finite resistance of the sample and are responsible for dark counts in superconducting single-photon detectors. The activation barrier for a phase slip is determined by a space-dependent saddle-point (instanton) configuration of the order parameter. In the one-dimensional ...
Added: June 25, 2026
Combined Experimental and Ab Initio Study of Sc Doping in MgB2: Decoupling Electronic and Microstructural Effects on Superconductivity
Dikhtievskaya K., Argunov E., Alexey I. Kartsev et al., The Journal of Physical Chemistry Letters 2026 Vol. 17 No. 17 P. 4999–5004
In this study we revealed the effect of scandium doping on the electronic and superconducting properties of the MgB2 compound. Calculations demonstrate that Sc substitutes for Mg atoms, acting as an electron donor. Mg substitution diminishes the density of states in the σ-band and attenuates the electron–phonon coupling, thereby elucidating the reduction in critical temperature. Simultaneously, ...
Added: June 2, 2026
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit