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We study fractional Josephson effect in a particle-number conserving system consisting of a quasi-one-dimensional superconductor coupled to a nanowire or an edge carrying $e/m$ fractional charge excitations with $m$ being an odd integer. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Meng Cheng , Roman M. Lutchyn

We study the Josephson junction mediated by the quantum spin Hall edge states and show that electron-electron interactions lead to a dissipationless fractional Josephson effect in the presence of time-reversal symmetry. Surprisingly, the…

Superconductivity · Physics 2014-07-17 Fan Zhang , C. L. Kane

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

We study the Josephson effect in a quantum spin Hall system coupled to a localized magnetic impurity. As a consequence of the fermion parity anomaly, the spin of the combined system of impurity and spin-Hall edge alternates between…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Yang Peng , Yuval Vinkler-Aviv , Piet W. Brouwer , Leonid I. Glazman , Felix von Oppen

Josephson junctions based on three-dimensional topological insulators offer intriguing possibilities to realize unconventional $p$-wave pairing and Majorana modes. Here, we provide a detailed study of the effect of a uniform magnetization…

Superconductivity · Physics 2021-03-09 Oleksii Maistrenko , Benedikt Scharf , Dirk Manske , Ewelina M. Hankiewicz

It is known that the low-energy physics of the Josephson effect in the presence of Majorana zero modes exhibits a $4\pi$ periodicity as the Aharonov-Bohm flux varies in contrast to the $2\pi$ Josephson periodicity in usual superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Ching-Kai Chiu , S. Das Sarma

We investigate 1D quantum systems that support Majorana bound states at interfaces between topologically distinct regions. In particular, we show that there exists a duality between particle-hole and spin degrees of freedom in certain…

Mesoscale and Nanoscale Physics · Physics 2013-02-26 Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Arne Brataas , Felix von Oppen

We explore a spin Josephson effect in a system of two ferromagnets coupled by a tunnel junction formed of 2D time-reversal invariant topological insulators. In analogy with the more commonly studied instance of the Josephson effect for…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Vasudha Shivamoggi , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

We study Josephson junctions made of semiconducting nanowires with Rashba spin-orbit coupling, where superconducting correlations are induced by the proximity effect. In the presence of a suitably directed magnetic field, the system…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Konstantin N. Nesterov , Manuel Houzet , Julia S. Meyer

A time-reversal invariant topological superconductivity is suggested to be realized in a quasi-one dimensional structure on a plane, which is fabricated by filling the superconducting materials into the periodic channel of dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Nakhmedov , S. Mammadova , O. Alekperov

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogeneous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately. Here, we demonstrate the possibility…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Björn Sothmann , Jian Li , Markus Büttiker

One Majorana doublet can be realized at each end of the time-reversal-invariant Majorana nanowires. We investigate the Josephson effect in the Majorana-doublet-presented junction modified by different inter-doublet coupling manners. It is…

Mesoscale and Nanoscale Physics · Physics 2015-01-14 Wei-Jiang Gong , Zhen Gao , Wan-Fei Shan , Guang-Yu Yi

In two-dimensional electron systems with broken inversion and time-reversal symmetries, a Josephson junction reveals an anomalous response: the supercurrent is nonzero even at zero phase difference between two superconductors. We consider…

Superconductivity · Physics 2022-12-21 Jaglul Hasan , Konstantin N. Nesterov , Songci Li , Manuel Houzet , Julia S. Meyer , Alex Levchenko

We discuss an experiment in which two magnetic insulators that both show a field-induced magnetic-ordering transition are weakly coupled to one another and are placed into an ex- ternal magnetic field. If the respective magnetic states can…

Strongly Correlated Electrons · Physics 2012-12-18 Andreas Schilling , Henrik Grundmann

Using the pseudospin representation and the SU(2) phase operators we introduce a complex parameter to characterize both infinite and finite superconducting systems. While in the bulk limit the parameter becomes identical to the conventional…

Superconductivity · Physics 2007-05-23 Zafer Gedik

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 M. Minutillo , D. Giuliano , P. Lucignano , A. Tagliacozzo , G. Campagnano

A junction between two topological superconductors containing a pair of Majorana fermions exhibits a `fractional' Josephson effect, $4\pi$ periodic in the superconductors' phase difference. An additional fractional Josephson effect,…

Superconductivity · Physics 2015-05-28 Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Contrary to the expected detrimental influence on superconductivity when applying a magnetic field, we predict that the abrupt onset of such a field can temporarily strongly enhance the superconducting order parameter. Specifically, we find…

Superconductivity · Physics 2021-03-17 Eirik Holm Fyhn , Jacob Linder

We investigate the Josephson effect in TNT and NTN junctions, consisting of topological (T) and normal (N) phases of semiconductor-superconductor 1D heterostructures in the presence of a Zeeman field. A key feature of our setup is that, in…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Panagiotis Kotetes , Alexander Shnirman , Gerd Schön

The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the…

Superconductivity · Physics 2020-11-04 Satoshi Ikegaya , Shun Tamura , Dirk Manske , Yukio Tanaka
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