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Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with…

Superconductivity · Physics 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

We consider a Josephson contact mediated by 1D chiral modes on a surface of a 3D topological insulator with superimposed superconducting and magnetic layers. The system represents an interferometer in which 1D chiral Majorana modes on the…

Superconductivity · Physics 2018-12-06 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

The chiral edge modes of a topological superconductor can transport fermionic quasiparticles, with Abelian exchange statistics, but they can also transport non-Abelian anyons: Edge-vortices bound to a $\pi$-phase domain wall that propagates…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 I. M. Flór , A. Donís-Vela , C. W. J. Beenakker , G. Lemut

A $2\pi$ phase shift across a Josephson junction in a topological superconductor injects vortices into the chiral edge modes at opposite ends of the junction. When two vortices are fused they transfer charge into a metal contact. We…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 I. Adagideli , F. Hassler , A. Grabsch , M. Pacholski , C. W. J. Beenakker

Topological superconductors supporting Majorana Fermions with non-abelian statistics are presently a subject of intense theoretical and experimental effort. It has been proposed that the observation of a half-frequency or a fractional…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Jay D. Sau , Erez Berg , Bertrand I. Halperin

Josephson junctions supply the nonlinear inductance element in superconducting qubits. In the widely used transmon configuration, where the junction is shunted by a large capacitor, the low charging energy minimizes the sensitivity of the…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Maxwell Wisne , Yanpei Deng , Hilal Cansizoglu , Cameron Kopas , Josh Mutus , Venkat Chandrasekhar

The Majorana fermions propagating along the edge of a topological superconductor with $p_x+ip_y$ pairing deliver a shot noise power of $\frac{1}{2}\times e^2/h$ per eV of voltage bias. We calculate the full counting statistics of the…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 N. V. Gnezdilov , B. van Heck , M. Diez , Jimmy A. Hutasoit , C. W. J. Beenakker

The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes. We present a nontopological scenario which can produce a fractional Josephson…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Jay D. Sau , F. Setiawan

A planar Josephson junction with a normal metal attached on its top surface will form a hollow nanowire structure due to its three dimensional nature. In such hollow nanowire structure, the magnetic flux induced by a small magnetic field…

Superconductivity · Physics 2019-12-25 Jie Liu , Yijia Wu , Qing-Feng Sun , X. C. Xie

We analyze the topological superconductivity and investigate the spectroscopic properties manifested by the zero-energy modes, induced in a metallic strip embedded into a Josephson-type junction. Focusing on the Majorana polarization of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Szczepan Głodzik , Nicholas Sedlmayr , Tadeusz Domański

The chiral edge modes of a topological superconductor support two types of excitations: fermionic quasiparticles known as Majorana fermions and $\pi$-phase domain walls known as edge vortices. Edge vortices are injected pairwise into…

Superconductivity · Physics 2020-11-24 C. W. J. Beenakker , D. O. Oriekhov

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Josephson radiation is a powerful method to probe Majorana zero modes in topological superconductors. Recently, Josephson radiation with half the Josephson frequency has been experimentally observed in a HgTe-based junction, possibly from…

Superconductivity · Physics 2020-06-30 Jia-Jin Feng , Zhao Huang , Zhi Wang , Qian Niu

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 investigate a ballistic InSb nanoflag-based Josephson junction with Nb superconducting contacts. The high transparency of the superconductor-semiconductor interfaces enables the exploration of quantum transport with parallel short and…

We study theoretically the electrical current and low-frequency noise for a linear Josephson junction structure on a topological insulator, in which the superconductor forms a closed ring and currents are injected from normal regions inside…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Benjamin J. Wieder , Fan Zhang , C. L. Kane

In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. Predicted to be localized on cores of vortices in certain non-conventional superconductors, their presence is known to render the…

Superconductivity · Physics 2012-10-30 Eytan Grosfeld , Ady Stern

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 Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Driss M. Badiane , Manuel Houzet , Julia S. Meyer
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