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We develop a detailed microscopic theory describing dc Josephson effect and Andreev bound states in superconducting junctions with a half-metal. In such systems the supercurrent is caused by triplet pairing states emerging due to spin-flip…

Superconductivity · Physics 2008-03-29 Artem V. Galaktionov , Mikhail S. Kalenkov , Andrei D. Zaikin

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

The transport properties of a ferromagnet-superconductor (FS) junction are studied in a scattering formulation. Andreev reflection at the FS interface is strongly affected by the exchange interaction in the ferromagnet. The conductance G_FS…

Condensed Matter · Physics 2017-12-07 M. J. M. de Jong , C. W. J. Beenakker

The Josephson effect is a fundamental quantum phenomenon consisting in the appearance of a dissipationless supercurrent in a weak link between two superconducting (S) electrodes. While the mechanism leading to the Josephson effect is quite…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 J. Paajaste , E. Strambini , M. Amado , S. Roddaro , P. San-Jose , R. Aguado , F. S. Bergeret , D. Ercolani , L. Sorba , F. Giazotto

A normal conductor placed in good contact with a superconductor can inherit its remarkable electronic properties. This proximity effect microscopically originates from the formation in the conductor of entangled electron-hole states, called…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Landry Bretheau , Joel I-Jan Wang , Riccardo Pisoni , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

The Josephson effect is a hallmark signature of the superconducting state, which, however, has been sparsely explored in non-crystalline superconducting materials. Motivated by this, we consider a Josephson junction consisting of two…

Superconductivity · Physics 2024-09-04 Morten Amundsen , Vladimir Juričić , Jabir Ali Ouassou

This is a tutorial article based on a lecture delivered in June 1999 at the NATO Advanced Study Institute in Ankara. The phenomenon of Andreev reflection is introduced as the electronic analogue of optical phase-conjugation. In the optical…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 C. W. J. Beenakker

In analogy to conventional semiconductor diodes, the Josephson diode exhibits superconducting properties that are asymmetric in applied bias. The effect has been investigated in number of systems recently, and requires a combination of…

In theory of superconducting junctions, Green's function has an important role to obtain Andreev bound states, local density of states and Josephson current in a systematic way. In this article, we show how to construct Green's function on…

Superconductivity · Physics 2016-01-27 Bo Lu , Yukio Tanaka

We derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of any-\pi\ Josephson…

Superconductivity · Physics 2012-10-25 D. I. Pikulin , Yuli V. Nazarov

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

Imperfections change essentially the electronic transport properties of graphene. Motivated by a recent experiment reporting on the possible application of graphene as junctions, we study transport properties in graphene-based junctions…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 Dima Bolmatov , Chung-Yu Mou

The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from scattering states incoming from the superconducting leads. We show that in the limit…

Superconductivity · Physics 2013-02-20 Domenico Giuliano , Ian Affleck

We investigate Josephson coupling through a ferromagnetic thin film using Superconductor-Insulator-Ferromagnet-Superconductor planar junctions. Damped oscillations of the critical current are observed as a function of the ferromagnetic…

Superconductivity · Physics 2007-05-23 T. Kontos , M. Aprili , J. Lesueur , F. Genet , B. Stephanidis , R. Boursier

We study Andreev reflection in normal metal-superconductor junctions by using an extended Blonder-Tinkham-Klapwijk model combined with transport calculations based on density functional theory. Starting from a parameter-free description of…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Awadhesh Narayan , Ivan Rungger , Stefano Sanvito

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 M. P. Nowak , M. Wimmer , A. R. Akhmerov

We study the Josephson effect in ballistic double-barrier SIFIS planar junctions, consisting of bulk superconductors (S), a clean metallic ferromagnet (F), and insulating interfaces (I). We solve the scattering problem based on the…

Superconductivity · Physics 2009-11-10 Z. Radovic , N. Lazarides , N. Flytzanis

A semiconductor nanowire based superconductor-normal-superconductor (SNS) junction is modeled theoretically. A magnetic field is applied along the nanowire axis, parallel to the current. The Bogoliubov-de Gennes equations for Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Kaveh Gharavi , Jonathan Baugh

We investigate a normal metal -- superconductor (point) contact in the limit where the number of conducting channels in the metallic wire is reduced to few channels. As the effective Fermi energy drops below the gap energy, a conducting…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gordey B. Lesovik , Gianni Blatter