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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

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 realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

A quantum-mechanical model for the interaction of Josephson vortices (fluxons) embedded in superconducting transmission line is presented. The vortices interact through emission and absorption of linear waves (electromagnetic cavity modes).…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. V. Ustinov

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Fernando Domínguez , Fabian Hassler , Gloria Platero

Irradiating a Josephson junction with microwaves can operate not only on the amplitude but also on the phase of the Josephson current. This requires breaking time inversion symmetry, which is achieved by introducing a phase lapse between…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 B. Venitucci , D. Feinberg , R. Mélin , B. Douçot

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

The observation of zero-bias conductance peaks in vortex cores of certain Fe-based superconductors has sparked renewed interest in vortex-bound Majorana states. These materials are believed to be intrinsically topological in their bulk…

Superconductivity · Physics 2023-09-13 Zhibo Ren , Justin Copenhaver , Leonid Rokhinson , Jukka I. Väyrynen

In superconductor-topological insulator-superconductor hybrid junctions, the barrier edge states are expected to be protected against backscattering, to generate unconventional proximity effects, and, possibly, to signal the presence of…

By solving the Bogoliubov--De Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional $s$-wave Fermi superfluid with spin-orbit coupling and Zeeman…

Quantum Gases · Physics 2019-11-19 L. A. Toikka

We study the evolution of averaged transconductances in three-terminal Josephson junctions when the superconducting leads are led throughout a topological phase transition from an $s$-wave to a $p$-wave (Majorana) phase by an in-plane…

Superconductivity · Physics 2019-07-17 Lucila Peralta Gavensky , Gonzalo Usaj , Carlos A. Balseiro

The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

Josephson junctions fabricated on the surface of three-dimensional topological insulators (TI) show a few unusual properties distinct from conventional Josephson junctions. In these devices, the Josephson coupling and the supercurrent are…

Superconductivity · Physics 2013-01-18 Christopher T. Olund , Erhai Zhao

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

The visualization of chiral p-wave superfluidity in Fermi gases near p-wave Feshbach resonances is theoretically examined. It is proposed that the superfluidity becomes detectable in the entire BCS-BEC regimes through (i) vortex…

Superconductivity · Physics 2009-11-13 T. Mizushima , M. Ichioka , K. Machida

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

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

Josephson junctions with an intrinsic phase shift of pi, so-called pi Josephson junctions, can be realized by a weak link of a d-wave superconductor with an appropriate boundary geometry. A model for the pairing potential of an according…

Superconductivity · Physics 2015-05-13 A. Gumann , C. Iniotakis , N. Schopohl

Superconducting wires without time-reversal and spin-rotation symmetries can be driven into a topological phase that supports Majorana bound states. Direct detection of these zero-energy states is complicated by the proliferation of…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , J. P. Dahlhaus , F. Hassler , M. Wimmer , C. W. J. Beenakker

Quantum anomalous Hall insulator-superconductor heterostructures are predicted to host chiral Majorana fermions as edge modes, which is essential for topological quantum computing applications. Although the edge states have been extensively…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Xin Yue , Guo-Jian Qiao
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