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Spatial profile of the Majorana fermion wave function in a one-dimensional $p$-wave superconductors ($\cal{PWS}$) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the…

Disordered Systems and Neural Networks · Physics 2017-05-26 Indubala I Satija

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko

We investigate the interplay between ferromagnetic and superconducting order at the edge of a quantum spin Hall insulator. Using complementary analytical and self-consistent numerical approaches, we study a ferromagnetic Josephson junction…

Superconductivity · Physics 2015-05-27 Annica M. Black-Schaffer , Jacob Linder

The Josephson effect is a prominent phenomenon of quantum supercurrents that has been widely studied in superconductors and superfluids. Typical Josephson junctions consist of two real-space superconductors (superfluids) coupled through a…

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

We propose an interferometer for chiral Majorana modes where the interference effect is caused and controlled by a Josephson junction of proximity-induced topological superconductors, hence, a Majorana-Josephson interferometer. This…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Chang-An Li , Jian Li , Shun-Qing Shen

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

Constructing qubits which are suitable for quantum computation remains a notable challenge. Here, we propose a superconducting flux qubit in a dc SQUID structure, formed by a conventional insulator Josephson junction and a topological…

Superconductivity · Physics 2015-07-13 Wen-Chao Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We consider a closed chain of even number of Majorana zero modes with nearest-neighbour couplings which are different site by site generically, thus no any crystal symmetry. Instead, we demonstrate the possibility of an emergent…

Superconductivity · Physics 2018-01-03 Zhao Huang , Shinji Shimasaki , Muneto Nitta

A key phenomenon related to the Josephson effect is oscillations of different properties of superconducting tunneling junctions with magnetic field. We consider magnetic oscillations of the critical current in stacks of intrinsic Josephson…

Superconductivity · Physics 2011-11-09 A. E. Koshelev

An extended Josephson junction consists of two superconducting electrodes that are separated by an insulator and it is therefore also a microwave cavity. The superconducting phase difference across the junction determines the supercurrent…

Superconductivity · Physics 2015-06-03 V. Humbert , M. Aprili , J. Hammer

We propose a setup involving Majorana bound states (MBS) hosted by a vortex on a superconducting surface of a 3D Topological Insulator (TI). We consider a narrow channel drilled across a TI slab with both sides covered by s-wave…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 P. A. Ioselevich , M. V. Feigel'man

The study of Majorana fermions is of great importance for the implementation of a quantum computer. These modes are topologically protected and very stable. It is now well known that a p-wave superconducting wire can sustain, in its…

Strongly Correlated Electrons · Physics 2015-07-22 Fernanda Deus , Mucio A. Continentino , Heron Caldas

We consider Majorana zero modes in a Josephson junction on top of a topological insulator in transverse magnetic field. Majorana zero modes reside at periodically located nodes of Josephson vortices. We find that hybridization of these…

Superconductivity · Physics 2022-12-28 Stefan Backens , Alexander Shnirman , Yuriy Makhlin

Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana Kramers pairs that have been predicted to mediate a fractional Josephson effect with $4\pi$ periodicity in the superconducting phase difference. We explore the…

Superconductivity · Physics 2020-11-18 Christina Knapp , Aaron Chew , Jason Alicea

While the application of out-of-plane magnetic fields was, so far, believed to be detrimental for the formation of Majorana phases in artificially engineered hybrid superconducting-semiconducting junctions, several recent theoretical…

We study the properties of a quantum dot coupled to a one-dimensional topological superconductor and a normal lead and discuss the interplay between Kondo and Majorana-induced couplings in quantum dot. The latter appears due to the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Meng Cheng , Michael Becker , Bela Bauer , Roman M. Lutchyn

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