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The non-Abelian statistics of Majorana zero modes (MZMs) are central to fault-tolerant topological quantum computing. Planar Josephson junctions provide a particularly versatile platform for realizing robust topological superconductivity…

Superconductivity · Physics 2026-01-29 Richang Huang , Yongliang Hu , Xianzhang Chen , Peng Yu , Siwei Tan , Igor Zutic , Tong Zhou

We theoretically investigate Josephson junctions with a phase shift of $\pi$ in various proximity induced one-dimensional superconductor models. One of the salient experimental signatures of topological superconductors, namely the…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Christian Spånslätt , Eddy Ardonne , Jan Carl Budich , Thors Hans Hansson

Embedded in an ohmic environment, the Josephson current peak can transfer part of its weight to finite voltage and the junction becomes resistive. The dissipative environment can even suppress the superconducting effect of the junction via…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Tom Morel , Christophe Mora

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

We consider a voltage-biased Josephson junction between two nanowires hosting Majorana zero modes which occur as topological protected zero-energy excitations at the junction. We show that two Majorana fermions localized at the junction,…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 Christoph Ohm , Fabian Hassler

The superconducting diode effect -- the dependence of critical current on its direction -- can arise from the simultaneous breaking of inversion and time-reversal symmetry in a superconductor and has gained interest for its potential…

Superconductivity · Physics 2024-07-18 Haixuan Huang , Tatiana de Picoli , Jukka I. Väyrynen

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 characterize the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates $\varphi, \theta, \delta$, and analyze their…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Armando A. Aligia , Diego Pérez Daroca , Liliana Arrachea

The Josephson effect is a fundamental quantum phenomenon consisting in the appearance of a dissipationless supercurrent in a weak link between two superconducting (S) electrodes. While the mechanism leading to the Josephson effect is quite…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 J. Paajaste , E. Strambini , M. Amado , S. Roddaro , P. San-Jose , R. Aguado , F. S. Bergeret , D. Ercolani , L. Sorba , F. Giazotto

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

We propose a topological field theory for a spin-less two-dimensional chiral superconductor that contains fundamental Majorana fields. Due to a fermionic gauge symmetry, the Majorana modes survive as dynamical degrees of freedom only at…

Superconductivity · Physics 2012-11-12 T. H. Hansson , A. Karlhede , Masatoshi Sato

We consider Josephson junctions on surfaces of three dimensional topological insulator nanowires. We find that in the presence of a parallel magnetic field, short junctions on nanowires show signatures of a perfectly transmitted mode…

Mesoscale and Nanoscale Physics · Physics 2014-05-12 Roni Ilan , Jens H. Bardarson , H. -S. Sim , Joel E. Moore

Majorana bound states in topological Josephson junctions induce a 4? period current-phase relation. Direct detection of the 4? periodicity is complicated by the quasiparticle poisoning. We reveal that Majorana bound states are also signaled…

Superconductivity · Physics 2017-07-24 Hong Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

We theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic fields. It is shown how topological…

Superconductivity · Physics 2021-03-04 Joseph D. Pakizer , Benedikt Scharf , Alex Matos-Abiague

The combination of an ordinary s-type superconductor with three-dimensional topological insulators creates a promising platform for fault-tolerant topological quantum computing circuits based on Majorana braiding. The backbone of the…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Gerrit Behner , Abdur Rehman Jalil , Alina Rupp , Hans Lüth , Detlev Grützmacher , Thomas Schäpers

A tunneling junction between normal electrode and a topological superconducting wire, mediated by a quantum dot, is considered theoretically. We show that the presence of the dot in the junction can be advantageous to Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Piotr Stefański

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio…

Superconductivity · Physics 2025-04-10 Zhuo Chen , Jiangxu Li , Lun-Hui Hu , Zhen Bi , Rui-Xing Zhang
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