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We propose to use an ancilla fluxonium qubit to interact with a Majorana qubit hosted by a topological one-dimensional wire. The coupling is obtained using the Majorana qubit-controlled 4 pi Josephson effect to flux bias the fluxonium…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 David Pekker , Chang-Yu Hou , Vladimir E. Manucharyan , Eugene Demler

A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Sunghun Park , Patrik Recher

There are still debates on whether the observed zero energy peak in the experiment by Stevan {\it et al.} [Science 346, 602(2014)] reveals the existence of the long pursuing Majorana bound states (MBS). we propose that, by mounting two…

Superconductivity · Physics 2016-09-09 Ye Xiong

Josephson junctions formed by finite-length topological superconductors host four Majorana zero modes when the phase difference between the superconductors is $\varphi=\pi$ and their length is larger than the Majorana localization length.…

Superconductivity · Physics 2025-12-23 Jorge Cayao , Masatoshi Sato

We study the phase dynamics and IV--characteristics of DC--SQUIDs consisting of Josephson junctions with topologically nontrivial barriers, which cause the appearance of Majorana bound state. Its comparative analysis with the trivial case…

Superconductivity · Physics 2017-01-24 I. R. Rahmonov , Yu. M. Shukrinov , R. Dawood , P. Seidel , K. Sengupta

We investigate the current-phase relation of S/F/S junctions near the crossover between the 0 and the pi ground states. We use Nb/CuNi/Nb junctions where this crossover is driven both by thickness and temperature. For a certain thickness a…

Superconductivity · Physics 2007-05-23 H. Sellier , C. Baraduc , F. Lefloch , R. Calemczuk

Josephson radiation is a useful signature for detecting Majorana zero modes in topological superconductors. We study the Josephson radiation of the underdamped topological Josephson junction within the quantum resistively and capacitively…

Superconductivity · Physics 2022-05-26 Yuejian Zhang , Xiping Yang , Jia-Jin Feng , Zhi Wang , Tianxing Ma

We demonstrate that the well known phase-locking mechanism leading to Shapiro steps in ac-driven Josephson junctions is always accompanied by a higher order phase-locking mechanism similar to that of the parametrically driven pendulum. This…

We study a superconductor-normal state-superconductor (SNS) Josephson junction along the edge of a quantum spin Hall insulator (QSHI) with a superconducting $\pi$-phase across the junction. We solve self-consistently for the superconducting…

Superconductivity · Physics 2018-02-05 Umberto Borla , Dushko Kuzmanovski , Annica M. Black-Schaffer

We study driven atomic Josephson junctions realized by coupling two two-dimensional atomic clouds with a tunneling barrier. By moving the barrier at a constant velocity, dc and ac Josephson regimes are characterized by a zero and nonzero…

Quantum Gases · Physics 2025-03-31 Vijay Pal Singh , Juan Polo , Ludwig Mathey , Luigi Amico

We consider a two-dimensional fully frustrated Josephson-junction array driven by combined direct and alternating currents. Interplay between the mode locking phenomenon, manifested by giant Shapiro steps in the current-voltage…

Superconductivity · Physics 2009-11-10 J. S. Lim , M. Y. Choi , J. Choi , B. J. Kim

We present a Josephson junction based on a Ge-Si core-shell nanowire with transparent superconducting Al contacts, a building block which could be of considerable interest for investigating Majorana bound states, superconducting qubits and…

We theoretically study the stability of more than one Majorana Fermion appearing in a $p$-wave superconductor/dirty normal metal/$p$-wave superconductor junction in two-dimension by using chiral symmetry of Hamiltonian. At the phase…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 S. Ikegaya , Y. Asano

We study a planar Josephson junction under an applied DC voltage bias in the presence of an in-plane magnetic field. Upon tuning the bias voltage across the junction, $V_{{\rm J}}$, the two ends of the junction are shown to simultaneously…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Changnan Peng , Arbel Haim , Torsten Karzig , Yang Peng , Gil Refael

It is shown in previous works that the coupling between two Majorana end states in superconducting quantum wires leads to fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 K. T. Law , Patrick A. Lee

Demonstration of non-Abelian anyon statistics often requires dynamical controls of a complicated device that are challenging in realistic situations. We propose a {\it single} Josephson junction to detect a non-Abelian statistics effect of…

Mesoscale and Nanoscale Physics · Physics 2019-09-02 Sang-Jun Choi , H. -S. Sim

High density superconductor-semiconductor-superconductor junctions have a small induced superconducting gap due to the quasiparticle trajectories with a large momentum parallel to the junction having a very long flight time. Because a large…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Tom Laeven , Bas Nijholt , Michael Wimmer , Anton R. Akhmerov

The $\varphi_0$ superconductor-ferromagnet-superconductor Josephson junction exhibits unique locking phenomena under the external periodic signal when the magnetic component is taken into account. Contrary to the well-known Shapiro steps…

Superconductivity · Physics 2025-05-14 K. Kulikov , J. Tekić , E. Kovalenko , M. Nashaat , T. A. Belgibayev , Yu. M. Shukrinov

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

Recently, a quantum anomalous Hall insulator (QAHI)/superconductor heterostructure has been realized and shows half-quantized conductance plateaus in two-terminal conductance measurements [Q. L. He \textit{et al.}, Science {\bf357}, 294…

Superconductivity · Physics 2018-11-07 Chui-Zhen Chen , James Jun He , Dong-Hui Xu , K. T. Law
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