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We study the proximity effect in SF'(AF)F'S and SF'(F)F'S planar junctions, where S is a clean conventional (s-wave) superconductor, while F' and middle layers are clean or moderately diffusive ferromagnets. Middle layers consist of two…

Superconductivity · Physics 2015-03-17 Luka Trifunovic , Zoran Radovic

This short review article provides a pedagogical introduction to the rapidly growing research field of Majorana fermions in topological superconductors. We first discuss in some details the simplest "toy model" in which Majoranas appear,…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Martin Leijnse , Karsten Flensberg

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

Hybrid samples combining superconductors with magnetic topological insulators are a promising platform for exploring exotic new transport physics. We examine a Josephson junction of such a system, based on the dilute magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Pankaj Mandal , Nicolai Taufertshöfer , Lukas Lunczer , Martin P. Stehno , Charles Gould , Laurens W. Molenkamp

Using highly efficient simulations of the tight-binding Bogoliubov-de Gennes model we solved self-consistently for the pair correlation and the Josephson current in a Superconducting-Bilayer graphene-Superconducting Josephson junction.…

Superconductivity · Physics 2014-01-20 W. A. Muñoz , L. Covaci , F. M. Peeters

We report the electrical transport in vertical Josephson tunnel junctions (area 400 $\mu m$$^2$) using GdBa$_2$Cu$_3$O$_7$$_{-\delta}$ electrodes and SrTiO$_3$ as an insulating barrier (with thicknesses between 1 nm and 4 nm). The results…

Superconductivity · Physics 2019-12-19 H. Navarro , M. Sirena , N. Haberkorn

Proximity-induced superconductivity in a ferromagnet can induce Cooper pairs with a finite center-of-mass momentum. The resultant spatially modulated superconducting order parameter is able to stabilize Josephson junctions (JJs) with pi…

Superconductivity · Physics 2022-07-27 Kaifei Kang , Helmuth Berger , Kenji Watanabe , Takashi Taniguchi , Laszlo Forro , Jie Shan , Kin Fai Mak

Superconductivity in topological materials has attracted a great deal of interest in both electron physics and material sciences since the theoretical predictions that Majorana fermions can be realized in topological superconductors [1-4].…

Superconductivity · Physics 2015-11-16 Xiaoyan Shi , Wenlong Yu , Zhigang Jiang , B. Andrei Bernevig , W. Pan , S. D. Hawkins , J. F. Klem

We study all possible Majorana modes in two-dimensional spin-orbit coupled ferromagnetic superconductor-normal state-superconductor (SNS) Josephson junctions and propose experiments to detect them. With the S region in a non-trivial…

Superconductivity · Physics 2015-05-28 Annica M. Black-Schaffer , Jacob Linder

Planar Josephson junctions are predicted to host Majorana zero modes. The material platforms in previous studies are two dimensional electron gases (InAs, InSb, InAsSb and HgTe) coupled to a superconductor such as Al or Nb. Here, we…

We study the proximity effect in the Hubbard model coupled to BCS superconductors describing a single-layer strongly correlated electron system in a phase-biased Josephson junction. We find two distinct gapped solutions, one Mott-like…

Strongly Correlated Electrons · Physics 2026-02-17 Don Rolih , Rok Žitko

We present a model for fully developed triplet proximity effect in superconductor-ferromagnet heterostructures. Within the circuit-theory approximation, we evaluate the Green's functions, the density of states, and the Josephson current…

Superconductivity · Physics 2016-08-31 V. Braude , Yu. V. Nazarov

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

Remarkably rich physics is involved in the behavior of hybrid Josephson junctions, connecting high-Tc and low-Tc superconductors. This relates in particular to the different order parameter symmetries underlying the formation of the…

We consider a Josephson junction consisting of superconductor/ferromagnetic insulator (S/FI) bilayers as electrodes which proximizes a nearby 2D electron gas. By starting from a generic Josephson hybrid planar setup we present an exhaustive…

Superconductivity · Physics 2018-07-11 P. Virtanen , F. S. Bergeret , E. Strambini , F. Giazotto , A. Braggio

When two different electronic materials are brought together, the resultant interface often shows unexpected quantum phenomena, including interfacial superconductivity and Fu-Kane topological superconductivity (TSC). Here, we use molecular…

Majorana fermion (MF) excitations in solid state system have non-Abelian statistics which is essential for topological quantum computation. Previous proposals to realize MF, however, generally requires fine-tuning of parameters. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Hoi-Yin Hui , P. M. R. Brydon , Jay D. Sau , S. Tewari , S. Das Sarma

It has been shown previously that a finite-length topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, realizes a one-dimensional topological…

Superconductivity · Physics 2012-10-19 A. M. Cook , M. M. Vazifeh , M. Franz

We consider a system of fermions with local interactions on a lattice (Hubbard model) and apply a novel extension of the Laplace's method (saddle-point approximation) for evaluating the corresponding partition function. There, we introduce…

Strongly Correlated Electrons · Physics 2022-05-05 Dmytro Makogon , Cristiane Morais Smith

We present theory of dc Josephson effect in contacts between Fe-based and spin-singlet $s$-wave superconductors. The method is based on the calculation of temperature Green's function in the junction within the tight-binding model. We…

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