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Conventional treatments of Josephson junctions (JJs) are typically not current-conserving. In the mean-field BCS theory, current conservation is only guaranteed if the superconducting order parameter is treated self-consistently. We show…

Superconductivity · Physics 2025-10-14 Simon Krekels , Vukan Levajac , Kristof Moors , George Simion , Bart Sorée

We report on short ballistic (SB) Josephson coupling in junctions embedded in a planar heterostructure of graphene. Ballistic Josephson coupling is confirmed by the Fabry-Perot-type interference of the junction critical current $I_c$. An…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Jinho Park , Jae Hyeong Lee , Gil-Ho Lee , Yositake Takane , Ken-Ichiro Imura , Takashi Taniguchi , Kenji Watanabe , Hu-Jong Lee

Unlike for tunneling Josephson junctions, for which the current-phase relation is given by the sine function, with the critical current ($I_c$) and normal-state resistance ($R_N$) following the relation $I_cR_N=(\pi/2)\,\Delta_0/e$ (where…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Adam Rycerz

We study a diffusive superconductor--ferromagnet--superconductor (SFS) junction with in-plane ferromagnetic domains. Close to the superconducting transition temperature, we describe the proximity effect in the junction with the linearized…

Mesoscale and Nanoscale Physics · Physics 2007-10-02 B. Crouzy , S. Tollis , D. A. Ivanov

Extended defects are known to strongly affect nanoscale superconductors. Here we report the properties of superconducting nanoribbons with a constriction formed between two adjacent step-edges, by solving the Bogoliubov-de Gennes equations…

Superconductivity · Physics 2018-04-23 L. Flammia , L. -F. Zhang , L. Covaci , A. Perali , M. V. Milošević

We study theoretically proximity-induced superconductivity and its inverse effect in dice lattice flat band model by considering Josephson junction with an s-wave pairing in the superconducting leads. Using self-consistent tight-binding…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Somayeh Ahmadkhani , Mir Vahid Hosseini

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Yositake Takane , Ken-Ichiro Imura

We investigate the critical current, $I_C$, of ballistic Josephson junctions made of encapsulated graphene/boron-nitride heterostructures. We observe a crossover from the short to the long junction regimes as the length of the device…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 I. V. Borzenets , F. Amet , C. T. Ke , A. W. Draelos , M. T. Wei , A. Seredinski , K. Watanabe , T. Taniguchi , Y. Bomze , M. Yamamoto , S. Tarucha , G Finkelstein

We investigate the influence of gauge fields induced by strain on the supercurrent passing through the graphene-based Josephson junctions. We show in the presence of a constant pseudomagnetic field ${\bf B}_S$ originated from an arc-shape…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Hadi Khanjani , Ali G. Moghaddam

We present an extensive theoretical investigation of the proximity effects that occur in Ferromagnet/Superconductor ($F/S$) systems. We use a numerical method to solve self consistently the Bogoliubov-de Gennes equations in the continuum.…

Superconductivity · Physics 2009-11-07 Klaus Halterman , Oriol T. Valls

We present direct measurements of the current-phase relation for lateral Josephson junctions with a graphene barrier, obtained by a phase-sensitive SQUID interferometry technique. We find that the current-phase relation is forward skewed…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Christopher English , David Hamilton , Cesar Chialvo , Ion Moraru , Nadya Mason , Dale Van Harlingen

The stationary Josephson current in a ballistic graphene system is theoretically studied with focus on a planar junction consisting of a monolayer graphene sheet on top of which a pair of superconducting electrodes is deposited. To…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Yositake Takane

Using the Gorkov equations, we provide an exact solution for a one-dimensional model of superconductivity in the presence of a conical helicoidal exchange field. Due to the special type of symmetry of the system, the superconducting…

Superconductivity · Physics 2019-01-10 Hao Meng , A. V. Samokhvalov , A. I. Buzdin

While extensively studied in normal metals, semimetals and semiconductors, the superconducting (SC) proximity effect remains elusive in the emerging field of flat-band systems. In this study we probe proximity-induced superconductivity in…

We study the superconducting correlations induced in graphene when it is placed between two superconductors, focusing in particular on the supercurrents supported by the 2D system. For this purpose we make use of a formalism placing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Gonzalez , E. Perfetto

We investigate the transport properties of a one-dimensional superconductor-normal metal-superconductor (S-N-S) system described within the tight-binding approximation. We compute the equilibrium dc Josephson current and the time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Enrico Perfetto , Gianluca Stefanucci , Michele Cini

Hybrid graphene-superconductor devices have attracted much attention since the early days of graphene research. So far, these studies have been limited to the case of diffusive transport through graphene with poorly defined and modest…

We study the interplay between proximity-induced superconductivity and ferromagnetism in graphene by self-consistently solving the Bogoliubov-de Gennes equations on the honeycomb lattice. We find that a strong triplet proximity effect is…

Superconductivity · Physics 2015-05-18 Jacob Linder , Annica M. Black-Schaffer , Asle Sudbø

The high tunability of the density of states of graphene makes it an ideal probe of quantum transport in different regimes. In particular, the supercurrent that can flow through a non-superconducting (N) material connected to two…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 Chuan Li , S. Guéron , A. Chepelianskii , H. Bouchiat

We report on a ballistic and fully tunable Josephson junction system consisting of two parallel ribbons of graphene in contact with superconducting MoRe. By electrostatic gating of the two individual graphene ribbons we gain control over…