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In this study, we explore the Josephson current-phase relation within a planar diffuse tunneling superconducting multilayer junction subjected to a parallel magnetic field. Our investigation involves computing the supercurrent associated…

Superconductivity · Physics 2024-06-19 A. S. Osin , Alex Levchenko , Maxim Khodas

We study the transport properties of a serial double quantum dot (DQD) coupled to two superconducting leads, focusing on the Josephson current through the DQD and the associated 0-$\pi$ transitions which result from the subtle interplay…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Rok Zitko , Minchul Lee , Rosa Lopez , Ramon Aguado , Mahn-Soo Choi

We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 Levente Máthé , Zoltán Kovács-Krausz , Ioan Botiz , Ioan Grosu , Khadija El Anouz , Abderrahim El Allati , Liviu P. Zârbo

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

Superconductivity · Physics 2017-05-18 Masatoshi Sato , Yoichi Ando

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

We establish that Majorana fermions on the boundary of topological superconductors have only spin-triplet superconducting correlations independent of whether the bulk superconducting gap is spin singlet or triplet. This is universal for…

Superconductivity · Physics 2015-08-05 Xin Liu , Jay D. Sau , S. Das Sarma

We study the combined effects of spin-orbit interaction, magnetic field, and Coulomb charging on the Josephson current-phase relation, I(\varphi), for a multi-level quantum dot tunnel-contacted by two conventional s-wave superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Brunetti , A. Zazunov , A. Kundu , R. Egger

The fractional Josephson effect is known to be a characteristic phenomenon of topological Josephson junctions hosting Majorana zero modes (MZMs), where the Josephson current has a $4\pi$ (rather than a $2\pi$) periodicity in the phase…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Akira Furusaki

We investigate the Josephson effect for a setup with two lattice quantum wires featuring Majorana zero energy boundary modes at the tunnel junction. In the weak-coupling, the exact solution reproduces the perturbative result for the energy…

Mesoscale and Nanoscale Physics · Physics 2012-07-16 Flavio S. Nogueira , Ilya Eremin

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

At the interface of an s-wave superconductor and a three-dimensional topological insulator, Ma- jorana zero modes and Majorana helical states have been proposed to exist respectively around magnetic vortices and geometrical edges. Here we…

Materials Science · Physics 2015-01-07 Wei Qin , Zhenyu Zhang

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

We demonstrate that level crossings at the Fermi energy serve as robust indicators for higher-order topology in two-dimensional superconductors of symmetry class D. These crossings occur when the boundary condition in one direction is…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Hong Wang , Xiaoyu Zhu

We study the weak link between current-carrying superconductors, both conventional and d-wave. The state of the system is controlled by two parameters: the order parameter phase difference $\phi$ and the superfluid velocity $v_{s}$, which…

Superconductivity · Physics 2017-08-23 S. N. Shevchenko

We investigate the Josephson transport through a thin semiconductor barrier containing impurity centers with the on-site Hubbard interaction $u$ of an arbitrary sign and strength. We find that in the case of the repulsive interaction the…

Superconductivity · Physics 2009-11-07 V. I. Kozub , A. V. Lopatin , V. M. Vinokur

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

Not so long ago, thermoelectricity in superconductors was believed to be possible only by breaking explicitly the particle-hole symmetry. Recently, it has been theoretically predicted that a superconducting tunnel junction can develop…

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea

General multi-channel SN junctions fall into two topological classes depending on whether or not there is a Majorana mode localized at the junction. This is known to lead to different behaviour of the conductance in the presence of…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Yashar Komijani , Ian Affleck

Zero-energy Majorana bound states in superconductors have been proposed to be potential building blocks of a topological quantum computer, because quantum information can be encoded in the fermion occupation of a pair of {\it spatially…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Liang Fu