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The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion parity. The level crossing is topologically protected, in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 C. W. J. Beenakker , J. M. Edge , J. P. Dahlhaus , D. I. Pikulin , Shuo Mi , M. Wimmer

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

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

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

The role of reduced dimensionality in high temperature superconductors is still under debate. Recently, ultracold atoms have emerged as an ideal model system to study such strongly correlated 2D systems. Here, we report on the realisation…

We study the behavior of a topological Josephson junction in which two topological superconductors are coupled through a quantum dot. We focus on the case with the bulk superconducting gap being the largest energy scale. Two parameter…

Superconductivity · Physics 2016-05-11 Yu-Li Lee , Yu-Wen Lee

Superconductor-topological insulator-superconductor Josephson junctions have been fabricated in order to study the width dependence of the critical current, normal state resistance and flux periodicity of the critical current modulation in…

Superconductivity · Physics 2015-06-22 C. G. Molenaar , D. P. Leusink , X. L. Wang , A. Brinkman

We study Josephson effect of $d$-wave superconductor (DS)/ferromagnet insulator(FI)/DS junctions on a surface of topological insulator (TI). We calculate Josephson current $I\left(\varphi \right) $ for various orientations of the junctions…

Superconductivity · Physics 2016-07-07 Bo Lu , Keiji Yada , A. A. Golubov , Yukio Tanaka

We present a theory for the Josephson effect in an unconventional superconductor / one-dimensional electron gas / unconventional superconductor (s/o/s) junction, where the Josephson current is carried by components injected perpendicular to…

Superconductivity · Physics 2009-10-31 Yukio Tanaka , Takashi Hirai , Koichi Kusakabe , Satoshi Kashiwaya

Numerical investigation of the effects of junction geometry on the performance of the flux-flow type Josephson oscillator has been done. Using direct simulation of the sine-Gordon equation with account of RC load the spectral and power…

Superconductivity · Physics 2011-09-15 Leonid S. Revin , Andrey L. Pankratov

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

The fractional Josephson effect remains one of the decisive hallmarks of topologically protected Majorana zero modes. We analyze the effects of parity violating quasiparticle poisoning onto the current voltage characteristics of topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Daniel Frombach , Patrik Recher

The $4\pi$-periodic Josephson effect is an indicator of Majorana zero modes and a ground-state degeneracy which are central to topological quantum computation. However, the observability of a $4\pi$-periodic Josephson current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 G. Tkachov

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

A topological superconductor ring is uniquely characterized by a switch in the ground state fermion number parity upon insertion of one superconducting flux quantum - a direct consequence of the topological `parity anomaly.' Despite the…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 Chun-Xiao Liu , William S. Cole , Jay D. Sau

We study the Josephson effect in ballistic double-barrier SIFIS planar junctions, consisting of bulk superconductors (S), a clean metallic ferromagnet (F), and insulating interfaces (I). We solve the scattering problem based on the…

Superconductivity · Physics 2009-11-10 Z. Radovic , N. Lazarides , N. Flytzanis

We consider Josephson junctions on surfaces of three dimensional topological insulator nanowires. We find that in the presence of a parallel magnetic field, short junctions on nanowires show signatures of a perfectly transmitted mode…

Mesoscale and Nanoscale Physics · Physics 2014-05-12 Roni Ilan , Jens H. Bardarson , H. -S. Sim , Joel E. Moore

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Malek Zareyan , A. N. Omelyanchouk

We consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Zyuzin , B. Spivak

Specific features of the equilibrium current-carrying state of a Josephson tunnel junction between diffusive superconductors are studied theoretically in the 1D geometry. It is found that the Josephson current induces localized states of…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , E. N. Bratus' , V. P. Galaiko