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We consider the current-phase relation (CPR) in the Josephson junctions with complex insulator-superconductor-ferromagnetic interlayers in the vicinity of 0-$\pi$ transition. We find a strong impact of the second harmonic on CPR of the…

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin

We investigate the current-phase-relation (CPR) of long diffusive superconductor-normal metal-superconductor (SNS) Josephson junctions in thermodynamic equilibrium and under microwave irradiation. While in equilibrium good agreement with…

Mesoscale and Nanoscale Physics · Physics 2009-02-24 M. Fuechsle , J. Bentner , D. A. Ryndyk , M. Reinwald , W. Wegscheider , C. Strunk

The superconductor/ferromagnet/superconductor (S/F/S) Josephson junctions (JJs) with an anomalous ground state phase shift $\varphi_0 \neq 0,\pi$ ($\varphi_0$-S/F/S JJs) enable the implementation of the zero-field Josephson diode effect…

Superconductivity · Physics 2026-05-13 G. A. Bobkov , I. A. Shvets , I. V. Bobkova , A. M. Bobkov , S. V. Eremeev , E. V. Chulkov

The current-phase relation (CPR) of a Josephson junction reveals valuable information about the microscopic processes and symmetries that influence the supercurrent. In this Letter, we present direct measurements of the CPR for Josephson…

Superconductivity · Physics 2010-10-08 C. Chialvo , I. C. Moraru , D. J. Van Harlingen , N. Mason

The $4\pi$-periodic Josephson effect is an indicator of Majorana zero modes and a ground-state degeneracy which are central to topological quantum computation. However, the observability of a $4\pi$-periodic Josephson current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 G. Tkachov

We calculate current-phase relation (CPR) of a SN-S-SN Josephson junction based on a variable thickness SN bilayer composed of highly disordered superconductor (S) and low-resistive normal metal (N) with proximity induced superconductivity.…

Superconductivity · Physics 2020-02-19 P. M. Marychev , D. Yu. Vodolazov

The current-phase relation (CPR) for asymmetric 45 degree Josephson junctions between two d-wave superconductors has been predicted to exhibit an anomalous periodicity. We have used the single-junction interferometer to investigate the CPR…

We present measurements of the current-phase relation (CPR) of Superconductor-Ferromagnet-Superconductor (SFS) Josephson junctions as a function of temperature. The CPR is determined by incorporating the junction into a superconducting loop…

Superconductivity · Physics 2007-05-23 S. M. Frolov , D. J. Van Harlingen , V. A. Oboznov , V. V. Bolginov , V. V. Ryazanov

We propose a method to realize a $\phi$ Josephson junction by combining alternating 0 and $\pi$ parts (sub junctions) with an intrinsically non-sinusoidal current-phase relation (CPR). Conditions for the realization of the $\phi$ ground…

Superconductivity · Physics 2010-03-16 N. G. Pugach , E. Goldobin , R. Kleiner , D. Koelle

Gate-tunable semiconductor nanowires with superconducting leads have great potential for quantum computation and as model systems for mesoscopic Josephson junctions. The supercurrent, $I$, versus the phase, $\phi$, across the junction is…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Eric M. Spanton , Mingtang Deng , Saulius Vaitiekėnas , Peter Krogstrup , Jesper Nygård , Charles M. Marcus , Kathryn A. Moler

A generic nonaligned Josephson junction in the presence of an external magnetic field is theoretically considered and an unusual flux-dependent current-phase relation (CPR) is revealed. We explain the origin of the anomalous CPR via the…

Superconductivity · Physics 2013-02-18 Mohammad Alidoust , Jacob Linder

Josephson junctions (JJ) are essential for superconducting quantum technologies and searches of self-conjugate quasiparticles, pivotal for fault-tolerant quantum computing. Measuring the current-phase relation (CPR) in JJ based on…

We consider a 0-$\pi$ Josephson junction consisting of asymmetric 0 and $\pi$ regions of different lengths $L_0$ and $L_\pi$ having different critical current densities $j_{c,0}$ and $j_{c,\pi}$. If both segments are rather short, the whole…

Superconductivity · Physics 2014-11-11 A. Lipman , R. G. Mints , R. Kleiner , D. Koelle , E. Goldobin

We consider the properties of a periodic structure consisting of small alternating 0- and pi- Josephson junctions. We show that depending on the relation between the lengths of the individual junctions, this system can be either in the…

Superconductivity · Physics 2009-11-10 A. Buzdin , A. Koshelev

We consider a short Josephson junction with a phase discontinuity $\kappa$ created, e.g., by a pair of tiny current injectors, at some point $x_0$ along the length of the junction. We derive the effective current-phase relation (CPR) for…

Superconductivity · Physics 2016-05-25 E. Goldobin , S. Mironov , A. Buzdin , R. G. Mints , D. Koelle , R. Kleiner

Josephson junctions (JJs) with non-sinusoidal current-phase relations (CPRs) have gathered increasing attention, partly due to growing interest in topological 2D materials. Understanding how CPR and inhomogeneities in JJs influence their…

Superconductivity · Physics 2025-04-08 R. A. Hovhannisyan

Motivated by a recent experiment directly measuring the current-phase relation (CPR) in graphene under the influence of a superconducting proximity effect, we here study the temperature dependence of the CPR in ballistic graphene SNS…

Superconductivity · Physics 2013-05-29 Annica M. Black-Schaffer , Jacob Linder

In this study, we explore the Josephson current-phase relation within a planar diffuse tunneling superconducting multilayer junction subjected to a parallel magnetic field. Our investigation involves computing the supercurrent associated…

Superconductivity · Physics 2024-06-19 A. S. Osin , Alex Levchenko , Maxim Khodas

Abrikosov vortex contains magnetic field and circulating currents that decay at a short range $\lambda \sim 100$ nm. However, the vortex can induce a long range Josephson phase shift at distances $r\sim\mu$m$\gg\lambda$. The mechanism of…

Superconductivity · Physics 2019-11-20 T. Golod , A. Pagliero , V. M. Krasnov
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