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Topological superconductors admit zero-energy Majorana bound states at their boundaries. In this review article, we discuss how to probe these Majorana bound states in Josephson junctions between two topological superconductors. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Driss M. Badiane , Leonid I. Glazman , Manuel Houzet , Julia S. Meyer

We reveal that topological Josephson junctions provide a natural platform for the interplay between the Josephson effect and the Landau-Zener effect through a two-level system formed by coupled Majorana modes. We build a quantum resistively…

Superconductivity · Physics 2018-11-05 Jia-Jin Feng , Zhao Huang , Zhi Wang , Qian Niu

We introduce the concept of a Majorana molecule, a topological bound state appearing in the geometry of a double quantum dot (QD) structure flanking a topological superconducting nanowire. We demonstrate that, if the Majorana bound states…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 J. E. Sanches , L. S. Ricco , W. N. Mizobata , Y. Marques , M. de Souza , I. A. Shelykh , A. C. Seridonio

We investigate transport properties through a crossbar-shaped structure formed by a quantum dot (QD) coupled to two normal leads and embedded between two one-dimensional topological superconductors (TSCs). Each TSC hosts Majorana bound…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 J. P. Ramos-Andrade , D. Zambrano , P. A. Orellana

We theoretically discuss electronic transport via Majorana states in magnetic topological insulator-superconductor junctions with an asymmetric split of the applied bias voltage. We study normal-superconductor-normal (NSN) junctions made of…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Daniele Di Miceli , Eduárd Zsurka , Julian Legendre , Kristof Moors , Thomas Schmidt , Llorenç Serra

Josephson junctions (JJs) in the presence of a magnetic field exhibit qualitatively different interference patterns depending on the spatial distribution of the supercurrent through the junction. In JJs based on two-dimensional topological…

Motivated by the spin-momentum locking of electrons at the boundaries of topological insulators, we study a one-dimensional system of spin-orbit coupled massless Dirac electrons with $s$-wave superconducting pairing. As a result of the…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Adithi Udupa , Abhishek Banerjee , K. Sengupta , Diptiman Sen

We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not…

Mesoscale and Nanoscale Physics · Physics 2013-02-27 Llorenç Serra

We investigate the sub gap properties of a three terminal Josephson T-junction composed of topologically superconducting wires connected by a normal metal region. This system naturally hosts zero energy Andreev bound states which are of…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Christian Spånslätt , Eddy Ardonne

In this work, we show that an in-plane magnetic field can drive a fully gapped $p \pm i p$ topological superconductor into a gapless phase which supports symmetry protected Majorana edge states (MESs). Specifically, an in-plane magnetic…

Superconductivity · Physics 2015-06-05 Chris L. M. Wong , Jie Liu , K. T. Law , Patrick A. Lee

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

We address the issue whether it is possible to generate Majorana bound states at the magnetic-superconducting interface in two-dimensional topological insulators with hidden Dirac points in the spectrum. In this case, the Dirac point of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Ferdinand Schulz , Kirill Plekhanov , Daniel Loss , Jelena Klinovaja

The Josephson junction (JJ) is an essential element of superconducting (SC) devices for both fundamental and applied physics. The short-range coherent coupling of two adjacent JJs forms the Andreev molecule states (AMSs), which will provide…

We study planar Josephson junctions formed on the surface of a three-dimensional topological insulator (Fu-Kane proposal) and examine the experimentally relevant parameter regimes in which the effective velocity of the emergent…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Adrian Reich , Kiryl Piasotski , Eytan Grosfeld , Alexander Shnirman

Intrinsic Rashba spin-orbital coupling (SOC) can exist in centrosymmetric materials with local inversion symmetry breaking. Here we show that such a SOC can induce topological superconductivity together with an in-plane Zeeman field in…

Superconductivity · Physics 2024-09-05 Jiong Mei , Kun Jiang , Shengshan Qin , Jiangping Hu

Measure synchronization (MS) in a two-species bosonic Josephson junction (BJJ) is studied based on semi-classical theory. Six different scenarios for MS, including two in the Josephson oscillation regime (0 phase mode) and four in the…

Quantum Gases · Physics 2015-06-18 Jing Tian , Haibo Qiu , Guanfang Wang , Yong Chen , Li-bin Fu

Time-reversal breaking topological superconductors are new states of matter which can support Majorana zero modes at the edge. In this paper, we propose a new realization of one-dimensional topological superconductivity and Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Gang Xu , Jing Wang , Binghai Yan , Xiao-Liang Qi

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

We propose a new platform to detect signatures of the presence of Majorana bound states (MBSs) in the Fraunhofer pattern of Josephson junctions featuring quantum spin Hall edge states on the normal part and Majorana bound states at the NS…

Mesoscale and Nanoscale Physics · Physics 2024-06-24 F. Dominguez , E. G. Novik , P. Recher

Here, we report experimental evidence suggesting the emergence of robust, possibly chiral, edge states in artificially engineered multilayers composed of alternating nanometer-thick layers of nonmagnetic aluminum (Al) and ferromagnetic…

Superconductivity · Physics 2025-07-29 M. Belogolovskii , I. P. Nevirkovets