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Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

We theoretically study a Josephson junction based on a semiconducting nanowire subject to a time-dependent flux bias. We establish a general density matrix approach for the dynamical response of the Majorana junction and calculate the…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Mircea Trif , Olesia Dmytruk , Helene Bouchiat , Ramon Aguado , Pascal Simon

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

We investigate analytically and numerically a Josephson junction on finite domain with two $\pi$-discontinuity points characterized by a jump of $\pi$ in the phase difference of the junction, i.e. a 0-$\pi$-0 Josephson junction. The system…

Superconductivity · Physics 2015-05-13 Saeed Ahmad , Hadi Susanto , Jonathan A. D. Wattis

We theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing…

Superconductivity · Physics 2024-08-07 Jorge Huamani Correa , Michal P. Nowak

We demonstrate that the subgap Andreev bound states in a transparent Josephson junction, comprising of either chiral or non-chiral superconductors, can be viewed as a consequence of the index theorem in supersymmetric quantum mechanics. We…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Sinchan Ghosh , Srinjoy Ghosh , Arijit Kundu , K. Sengupta

The Josephson diode effect, where the critical current magnitude depends on its direction, arises when both time-reversal and inversion symmetries are broken - often achieved by a combination of spin-orbit interaction and applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Gerrit Behner , Abdur Rehman Jalil , Detlev Grützmacher , Thomas Schäpers

We determine the current-phase relation (CPR) of two-terminal configurations of Josephson junctions containing two-dimensional (2D) time-reversal invariant topological superconductors (TRITOPS), including TRITOPS-TRITOPS, as well as…

We study the joint dynamics of the phase bias $\phi$ and the propagating Majorana fermions of the edge modes in Josephson junctions containing 2D time-reversal invariant topological superconductors (TRITOPS). We consider TRITOPS-TRITOPS…

Planar Josephson junctions provide a platform to host topological superconductivity which, through manipulating Majorana bound states (MBS), could enable fault-tolerant quantum computing. However, what constitutes experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 Barış Pekerten , David Brandão , Bassel Heiba Elfeky , Tong Zhou , Jong E. Han , Javad Shabani , Igor Žutić

We propose a new platform for observing the Josephson diode effect: the Andreev molecule. This nonlocal electronic state is hosted in circuits made of two closely spaced Josephson junctions, through the hybridization of the Andreev states.…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 J. -D. Pillet , S. Annabi , A. Peugeot , H. Riechert , E. Arrighi , J. Griesmar , L. Bretheau

We theoretically investigate the anomalous and diode Josephson effects in planar two-dimensional Josephson junctions with arbitrarily oriented exchange fields in two ferromagnets within the barrier, and spin-orbit coupling at the…

Superconductivity · Physics 2026-05-12 Stevan Djurdjević , Zorica Popović

We develop a theory for strain control of Majorana zero energy modes and Josephson effect in black phosphorus (BP) devices proximity coupled to a superconductor. Employing realistic values for the band parameters subject to strain, we show…

Superconductivity · Physics 2018-08-08 Mohammad Alidoust , Morten Willatzen , Antti-Pekka Jauho

The interplay of superconductivity, magnetic fields, and spin-orbit interaction lies at the heart of topological superconductivity. Remarkably, the recent experimental discovery of $\varphi_{0}$ Josephson junctions by Szombati et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Constantin Schrade , Silas Hoffman , Daniel Loss

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian exchange statistics and fractionalization of a single electron stored nonlocally as a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Tong Zhou , Matthieu C. Dartiailh , William Mayer , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

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

We propose to use an ancilla fluxonium qubit to interact with a Majorana qubit hosted by a topological one-dimensional wire. The coupling is obtained using the Majorana qubit-controlled 4 pi Josephson effect to flux bias the fluxonium…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 David Pekker , Chang-Yu Hou , Vladimir E. Manucharyan , Eugene Demler

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

Nodal topological superconductors characterized by $p_x$-wave pairing symmetry host flat-band Majorana bound states causing drastic anomalies in low-energy electromagnetic responses. Nevertheless, the study of flat-band Majorana bound…

Superconductivity · Physics 2021-11-09 Daisuke Oshima , Satoshi Ikegaya , Andreas P. Schnyder , Yukio Tanaka

In the presence of a 4$\pi$-periodic contribution to the current phase relation, for example in topological Josephson junctions, odd Shapiro steps are expected to be missing. While missing odd Shapiro steps have been observed in several…