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We study the Josephson effect through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. The interactions are treated in the framework of the one-channel Luttinger model. At zero…

Condensed Matter · Physics 2009-10-22 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov

A theory describing a one-dimensional Luttinger liquid in contact with superconductor is developed. Boundary conditions for the fermion fields describing Andreev reflection at the contacts are derived and used to construct a bosonic…

Condensed Matter · Physics 2016-08-31 Dmitrii L. Maslov , Michael Stone , Paul M. Goldbart , Daniel Loss

We calculate both the DC and the AC Josephson current through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. We treat the (repulsive) Coulomb interaction in the framework of the…

Condensed Matter · Physics 2009-10-28 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov , 11 pages RevTex , 9 figures

Josephson current through a Luttinger liquid (LL) under a magnetic field is theoretically studied. We derive an analytical expression of Josephson current for clean interfaces, by using quasiclassical Green's function and functional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nobuhiko Yokoshi , Susumu Kurihara

Current-phase relation in a Josephson junction formed by putting two s-wave superconductors on the same edge of a two dimensional topological insulator is investigated. We consider the case that the junction length is finite and magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Shu-feng Zhang , Wei Zhu , Qing-feng Sun

We study the properties of a topological Josephson junction made of both edges of a 2D topological insulator. We show that, due to fermion parity pumping across the bulk, the global parity of the junction has a clear signature in the…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 François Crépin , Björn Trauzettel

We study the Josephson current through a Luttinger liquid in contact with two superconductors. We show that it can be deduced from the Casimir energy in a two-boundary version of the sine-Gordon model. We develop a new thermodynamic Bethe…

Strongly Correlated Electrons · Physics 2011-07-19 J. -S. Caux , H. Saleur , F. Siano

The dc Josephson effect in a one-dimensional Tomonaga-Luttinger (TL) liquid is studied on the basis of two bosonized models. We first consider a TL liquid sandwiched between two superconductors with a strong barrier at each interface. Both…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Yositake Takane

The Josephson coupling of two isotropic s-wave superconductors through a small, magnetically active junction is studied. This is done as a function of junction transparency and of the degree of spin-mixing occurring in the barrier. In the…

Superconductivity · Physics 2009-10-31 Mikael Fogelstrom

The Josephson effect describes the generic appearance of a supercurrent in a weak link between two superconductors. Its exact physical nature however deeply influences the properties of the supercurrent. Detailed studies of Josephson…

In this letter we study the effect of time-reversal symmetric impurities on the Josephson supercurrent through two dimensional helical metals such as on topological insulator surface state. We show that contrary to the usual…

Superconductivity · Physics 2016-01-27 Pouyan Ghaemi , V. P. Nair

We study a hybrid system consisting of a spin-incoherent Luttinger liquid adjoined at one or both ends to a superconductor. We find the tunneling density of states diverges at low energies and exhibits a universal frequency dependence…

Strongly Correlated Electrons · Physics 2008-04-26 Dagim Tilahun , Gregory A. Fiete

When a topological insulator is incorporated into a Josephson junction, the system is predicted to reveal the fractional Josephson effect with a 4$\pi$-periodic current-phase relation. Here, we report the measurement of a $4\pi$-periodic…

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

Andreev scattering and the Josephson current through a one-dimensional interacting electron liquid sandwiched between two superconductors are re-examined. We first present some apparently new results on the non-interacting case by studying…

Superconductivity · Physics 2009-10-31 Ian Affleck , Jean-Sebastien Caux , Alexandre Zagoskin

We investigate the transport properties of a bilayer exciton condensate that is contacted by four superconducting leads. We focus on the equilibrium regime and investigate how the Josephson currents induced in the bilayer by phase biases…

We consider the charge and spin effects in low dimensional superconducting weak links. The first part of the review deals with the effects of electron-electron interaction in Superconductor/Luttinger liquid/Superconductor junctions. The…

Superconductivity · Physics 2009-11-10 Ilya V. Krive , Sergei I. Kulinich , Robert I. Shekhter , Mats Jonson

We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing…

Superconductivity · Physics 2021-03-24 Stefan Backens , Alexander Shnirman

Josephson current for a system consisting of an Anderson impurity weakly coupled to two unconventional superconductors is studied and shown to be driven by a surface zero energy (mid-gap) bound-state. The repulsive Coulomb interaction in…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Avishai , A. Golub

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
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