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The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion parity. The level crossing is topologically protected, in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 C. W. J. Beenakker , J. M. Edge , J. P. Dahlhaus , D. I. Pikulin , Shuo Mi , M. Wimmer

We study analytically an underdamped current-biased topological Josephson junction. First, we consider a simplified model at zero temperature, where the parity of the non-local fermionic state formed by Majorana bound states (MBSs)…

Superconductivity · Physics 2020-09-23 Aleksandr E. Svetogorov , Daniel Loss , Jelena Klinovaja

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt

Demonstrating the topological protection of Andreev states in Josephson junctions is an experimental challenge. In particular the telltale $4\pi$ periodicity expected for the current phase relation of topological Josephson junctions has…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 A. Murani , B. Dassonneville , A. Kasumov , J. Basset , M. Ferrier , R. Deblock , S. Guéron , H. Bouchiat

In a standard Josephson junction the current is zero when the phase difference between the superconducting leads is zero. This condition is protected by parity and time-reversal symmetries. However, the combined presence of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-01-14 William Mayer , Matthieu C. Dartiailh , Joseph Yuan , Kaushini S. Wickramasinghe , Enrico Rossi , Javad Shabani

We have probed the switching dynamics of the Josephson critical current of a superconducting weak link by measuring its voltage/current characteristics while applying an ac current bias in the range 1-200 MHz. The weak link between two Nb…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Kevin Spahr , Jonathan Graveline , Chrustian Lupien , Marco Aprili , Bertrand Reulet

The interplay between superconductivity and ferromagnetism has long been pursued as a route to unconventional Josephson effects, yet suitable material platforms remain limited. Here we report Josephson junctions based on epitaxial…

We present a theory of SNS junctions, a normal metal sandwiched between two superconductors, along the crossover from the BCS to the BEC regime. We calculate the Josephson current as a function of the chemical potential relative to the band…

Superconductivity · Physics 2026-01-05 Gautam Rai , Arman Babakhani , Ying Wang , Stephan Haas , Stefan Kettemann

The discovery that a gate electrode suppresses the supercurrent in purely metallic systems is missing a complete physical understanding of the mechanisms at play. We here study the origin of this reduction in a Superconductor-Normal…

Many proposals in exploring topological quantum computation are based on superconducting quantum devices constructed on materials with strong spin-orbit coupling (SOC). For these devices, a full control on both the magnitude and the spatial…

We study non-Hermitian Josephson junctions formed by multiple superconductors and discover the emergence of exceptional points entirely determined by the interplay of the distinct superconducting phases and non-Hermiticity due to normal…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jorge Cayao , Masatoshi Sato

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

Topological Josephson junctions designed on the surface of a 3D-topological insulator (TI) harbor Majorana bound states (MBS's) among a continuum of conventional Andreev bound states. The distinct feature of these MBS's lies in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 K. Le Calvez , L. Veyrat , F. Gay , P. Plaindoux , C. Winkelmann , H. Courtois , B. Sacépé

We develop a theory of the tunneling spectroscopy for superconducting topological insulators (STIs), where the surface Andreev bound states (SABSs) appear as helical Majorana fermions. Based on the symmetry and topological nature of parent…

Superconductivity · Physics 2012-05-29 Ai Yamakage , Keiji Yada , Masatoshi Sato , Yukio Tanaka

Coupling the surface state of a topological insulator (TI) to an s-wave superconductor is predicted to produce the long-sought Majorana quasiparticle excitations. However, superconductivity has not been measured in surface states when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sungjae Cho , Brian Dellabetta , Alina Yang , John Schneeloch , Zhijun Xu , Tonica Valla , Genda Gu , Matthew J. Gilbert , Nadya Mason

In recent years, Majorana physics has attracted considerable attention in both theoretical and experimental studies due to exotic new phenomena and its prospects for fault-tolerant topological quantum computation. To this end, one needs to…

We study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrix based formalism which allows us to…

Superconductivity · Physics 2018-05-30 Oindrila Deb , K. Sengupta , Diptiman Sen

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

In semiconducting-superconducting hybrid devices, Andreev bound states (ABSs) can mediate the coupling between quantum dots (QDs), allowing for the realisation of artificial Kitaev chains. In order to engineer Majorana bound states (MBSs)…

We investigate the charge transport property of superconductor (S) /normal metal (N) / ferromagnet insulator (FI) /(normal metal) N' and S/N/FI/N'/S Josephson junctions on a three-dimensional topological insulator surface. We find…

Superconductivity · Physics 2016-07-07 Bo Lu , Pablo Burset , Keiji Yada , Yukio Tanaka
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