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Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by…

Superconductivity · Physics 2019-04-17 C. W. J. Beenakker , P. Baireuther , Y. Herasymenko , I. Adagideli , Lin Wang , A. R. Akhmerov

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Shuo Mi , D. I. Pikulin , M. Wimmer , C. W. J. Beenakker

Known Majorana fermions models are considered as promising ones for the purposes of quantum computing robust to decoherence. One of the most expecting but unachieved goals is an effective control for braiding of Majoranas. Another one is to…

Mesoscale and Nanoscale Physics · Physics 2017-12-15 Halina V. Grushevskaya , George Krylov

Majorana zero modes in one-dimensional topological superconductors obey non-Abelian braiding statistics. Braiding manipulations can be realized by controlling Coulomb couplings in hybrid Majorana-transmon devices. However, strong disorder…

Quantum Physics · Physics 2015-06-16 I. C. Fulga , B. van Heck , M. Burrello , T. Hyart

We study a circuit where a mesoscopic Josephson junction (JJ) is embedded in an environment consisting of a large bias resistor and a normal metal - superconductor tunnel junction (NIS). The effective Coulomb blockade of the JJ can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Hassel , J. Delahaye , H. Seppa , P. Hakonen

We show that three dimensional superconductors, described within a Bogoliubov de Gennes framework can have zero energy bound states associated with pointlike topological defects. The Majorana fermions associated with these modes have…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jeffrey C. Y. Teo , C. L. Kane

We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogeneous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately. Here, we demonstrate the possibility…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Björn Sothmann , Jian Li , Markus Büttiker

We study charge transport in a single-electron transistor implemented as an interferometer such that the Coulomb blockaded middle island contains a circular chiral Majorana or Dirac edge mode. We concentrate on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

Even in the absence of Coulomb interactions phase fluctuations induced by quantum size effects become increasingly important in superconducting nano-structures as the mean level spacing becomes comparable with the bulk superconducting gap.…

Superconductivity · Physics 2014-03-05 Pedro Ribeiro , Antonio M. García-García

In this work we study interacting spinless fermions on a two-chain ladder with inter-chain pair tunneling while single-particle tunneling is suppressed at low energy. The model embodies a $\mathbb{Z}_2$ symmetry associated with the fermion…

Strongly Correlated Electrons · Physics 2011-11-03 Meng Cheng , Hong-Hao Tu

We discuss correlated lattice models with a time-dependent potential across a barrier and show how to implement a Josephson-junction-like behavior. The pairing occurs by a correlation effect enhanced by the symmetry of the system. In order…

Superconductivity · Physics 2009-11-11 Stefano Bellucci , Michele Cini , Pasquale Onorato , Enrico Perfetto

Majorana fermions are long-sought exotic particles that are their own antiparticles. Here we propose to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. A so-called Majorana…

Superconductivity · Physics 2014-09-23 J. Q. You , Z. D. Wang , Wenxian Zhang , Franco Nori

In this paper we study a novel superconductor-ferromagnet-superconductor (SC-FM-SC) Josephson junction array deposited on top of a two-dimensional quantum spin Hall (QSH) insulator. The existence of Majorana bound states at the interface…

Statistical Mechanics · Physics 2015-05-14 Cenke Xu , Liang Fu

Topological superconductors are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces of samples and in vortex cores of topological superconductors,…

Superconductivity · Physics 2016-06-03 Masatoshi Sato , Satoshi Fujimoto

We investigate the effects of fluxon cotunneling and quantum Coulomb drag in a system of two small Josephson junctions coupled by means of mutual capacitance $C_m$. Depending on the value of $C_m$ we identify three different regimes of…

Superconductivity · Physics 2025-05-13 Andrew G. Semenov , Alex Latyshev , Andrei D. Zaikin

We propose a setup that integrates a quantum point contact (QPC) and a Josephson junction on a quantum spin Hall sample, experimentally realizable in InAs/GaSb quantum wells. The confinement due to both the QPC and the superconductor…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Jian Li , Wei Pan , B. Andrei Bernevig , Roman M. Lutchyn

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…

Coulomb drag and depinning are electronic transport phenomena that occur in low-dimensional nanostructures. Recently, both phenomena have been reported in bilinear Josephson junction arrays. These devices provide a unique opportunity to…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Samuel A. Wilkinson , Nicolas Vogt , Jared H. Cole

A Josephson tunnel junction transistor based on quasiparticle injection is proposed. Its operation relies on the manipulation of the electron distribution in one of the junction electrodes. This is accomplished by injecting quasiparticle…

Superconductivity · Physics 2008-07-12 F. Giazotto , J. P. Pekola