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We investigate theoretical aspects of the detection of Majorana bound states in Josephson junctions using the semiclassical RCSJ model of junction dynamics. The influence of a 4$\pi$-periodic supercurrent contribution can be detected…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Jordi Picó-Cortés , Fernando Domínguez , Gloria Platero

A semiconducting nanowire with strong Rashba spin-orbit coupling and coupled to a superconductor can be tuned by an external Zeeman field into a topological phase with Majorana zero modes. Here we theoretically investigate how this exotic…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Jorge Cayao , Pablo San-Jose , Annica Black-Schaffer , Ramón Aguado , Elsa Prada

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

A lateral Josephson junction in which the surface of a 3D topological insulator serves as the weak link should support topologically protected excitations related to Majorana fermions. The resulting $4\pi$-periodic current-phase…

The Majorana zero-energy modes (MZMs) residing at the boundary of topological superconductors have attracted a great deal of interest recently, as they provide a platform to explore fundamental physics such as non-Abelian statistics, as…

Superconductivity · Physics 2021-06-30 Jinho Park , Yong-Bin Choi , Gil-Ho Lee , Hu-Jong Lee

Josephson junctions hosting Majorana fermions have been predicted to exhibit a 4$\pi$ periodic current phase relation. The experimental consequence of this periodicity is the disappearance of odd steps in Shapiro steps experiments.…

We consider microwave spectroscopy of Josephon junctions composed of hybridized Majorana states in topological 1-D superconductors. We point out how spectroscopic features of the junction appear in the current phase relation under microwave…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Pauli Virtanen , Patrik Recher

The $4\pi$-periodic Josephson effect is an indicator of Majorana zero modes and a ground-state degeneracy which are central to topological quantum computation. However, the observability of a $4\pi$-periodic Josephson current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 G. Tkachov

We theoretically study a one dimensional p-wave superconducting mesoscopic ring interrupted by a weak link and coupled inductively to a microwave cavity. We establish an input-output description for the cavity field in the presence of the…

Mesoscale and Nanoscale Physics · Physics 2016-09-26 Olesia Dmytruk , Mircea Trif , Pascal Simon

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

Majorana zero modes are predicted in several solid state systems such as hybrid superconductor-semiconductor structures and topological insulators coupled to superconductors. One of the expected signatures of Majorana modes is the…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 S. R. Mudi , S. M. Frolov

We investigate the Josephson effect in one triple-terminal junction with embedded parallel-coupled double quantum dots. It is found that the inter-superconductor supercurrent has opportunities to oscillate in $4\pi$ period, with the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Guang-Yu Yi , Xiao-Qi Wang , Zhen Gao , Hai-Na Wu , Wei-Jiang Gong

We propose a theoretical model describing a Josephson junction featuring a magnetically textured barrier within two-dimensional (2D) $p$-wave superconductor, considering both $p_x + p_y$ and $p_x + ip_y$ type pairing symmetries. Our study…

Superconductivity · Physics 2025-09-29 Minakshi Subhadarshini , Amartya Pal , Pritam Chatterjee , Arijit Saha

We theoretically study a Josephson junction formed by two finite-size $s$-wave SCs on a topological insulator under a magnetic field. At certain conditions, the junction hosts the chiral Majorana modes enclosing the two finite-size SCs. The…

Mesoscale and Nanoscale Physics · Physics 2019-09-02 Sang-Jun Choi , H. -S. Sim

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

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 study phase slips in one-dimensional topological superconducting wires. These wires have been proposed as building blocks for topologically protected qubits in which the quantum information is distributed over the length of the device…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 David Pekker , Chang-Yu Hou , Doron L. Bergman , Sam Goldberg , İnanç Adagideli , Fabian Hassler

A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends on the magnetic flux. It breaks the…

Strongly Correlated Electrons · Physics 2017-08-04 Igor N. Karnaukhov

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field the quasi-one-dimensional region…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Falko Pientka , Anna Keselman , Erez Berg , Amir Yacoby , Ady Stern , Bertrand I. Halperin

We theoretically investigate how the spin susceptibility of a planar Josephson junction is affected when the system transits into the topological superconducting state. We show that the magnetic flux and magnetic field dependence of the…

Superconductivity · Physics 2021-10-04 Joseph D. Pakizer , Alex Matos-Abiague