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A nonstationary anomalous Hall current is calculated for a voltage biased Josephson junction, which is composed of two s-wave superconducting contacts deposited on the top of a three dimensional topological insulator (TI). A homogeneous…

Superconductivity · Physics 2019-07-24 A. G. Mal'shukov

The anomalous $4\pi$-periodic ac Josephson effect, a hallmark of topological Josephson junctions, was experimentally observed in a quantum spin Hall insulator. This finding is unexpected due to time-reversal symmetry preventing the…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Doru Sticlet , Jay D. Sau , Anton Akhmerov

We explore a spin Josephson effect in a system of two ferromagnets coupled by a tunnel junction formed of 2D time-reversal invariant topological insulators. In analogy with the more commonly studied instance of the Josephson effect for…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Vasudha Shivamoggi , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

In topological insulator edges, the duality between the Zeeman field orientation and the proximitized superconducting phase has been recently exploited to predict a magneto-Josephson effect with a 4$\pi$ periodicity. We revisit this latter…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Corneliu Malciu , Leonardo Mazza , Christophe Mora

In recent years, Majorana physics has attracted considerable attention in both theoretical and experimental studies due to exotic new phenomena and its prospects for fault-tolerant topological quantum computation. To this end, one needs to…

We analyze the dynamics of a magnetic flux quantum (current vortex) trapped in a current-biased long planar elliptic annular Josephson tunnel junction. The system is modeled by a perturbed sine-Gordon equation that determines the spatial…

Superconductivity · Physics 2016-01-20 Roberto Monaco , Jesper Mygind

The simultaneous breaking of time-reversal and inversion symmetry can lead to peculiar effects in Josephson junctions, such as the anomalous Josephson effect or supercurrent rectification, which is a dissipationless analog of the diode…

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

A prominent signature of Majorana bound states is the exotic Josephson effects they produce, the classic example being a fractional Josephson current with 4\pi periodicity in the phase difference across the junction. Recent work established…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Falko Pientka , Liang Jiang , David Pekker , Jason Alicea , Gil Refael , Yuval Oreg , Felix von Oppen

Topological insulators are characterized by an insulating bulk with a finite band gap and conducting edge or surface states, where charge carriers are protected against backscattering. These states give rise to the quantum spin Hall effect…

Strongly Correlated Electrons · Physics 2012-08-23 M. Veldhorst , M. Snelder , M. Hoek , T. Gang , X. L. Wang , V. K. Guduru , U. Zeitler , W. G. v. d. Wiel , A. A. Golubov , H. Hilgenkamp , A. Brinkman

We study the effect of a magnetic field on the current-phase relation of a topological Josephson junction formed by connecting two superconductors through the helical edge states of a quantum spin-Hall insulator. We predict that the Zeeman…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Fabrizio Dolcini , Manuel Houzet , Julia S. Meyer

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

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

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

We study Josephson junctions made of semiconducting nanowires with Rashba spin-orbit coupling, where superconducting correlations are induced by the proximity effect. In the presence of a suitably directed magnetic field, the system…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Konstantin N. Nesterov , Manuel Houzet , Julia S. Meyer

We study a Josephson junction made with a spin-textured bridge, when both Rashba and Zeeman interactions combine to generate a magneto-electric coupling between the superconducting current and the in-plane magnetic texture in the normal…

Superconductivity · Physics 2014-08-21 François Konschelle

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

Interfacial spin-orbit coupling in Josephson junctions offers an intriguing way to combine anomalous Hall and Josephson physics in a single device. We study theoretically how the superposition of both effects impacts…

Superconductivity · Physics 2020-03-18 Andreas Costa , Jaroslav Fabian

We study supercurrent and proximity vortices in a Josephson junction made of disordered surface states of a three-dimensional topological insulator with a proximity induced in-plane helical magnetization. In a regime where the rotation…

Mesoscale and Nanoscale Physics · Physics 2018-11-09 Alexander Zyuzin , Mohammad Alidoust , Daniel Loss

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

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