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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

Josephson junctions with topological insulator weak links can host low energy Andreev bound states giving rise to a current phase relation that deviates from sinusoidal behaviour. Of particular interest are zero energy Majorana bound states…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 C. Kurter , A. D. K. Finck , Y. S. Hor , D. J. Van Harlingen

The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Erwann Bocquillon , Jonas Wiedenmann , Russell S. Deacon , Teunis M. Klapwijk , Hartmut Buhmann , Laurens W. Molenkamp

Conventional superconductor/insulator/superconductor (SIS) Josephson junctions, devices where two superconductors are separated by a tunnel barrier are technologically important as elements in quantum circuits, particularly with their key…

Superconductivity · Physics 2025-09-19 Venkat Chandrasekhar

The fractional Josephson effect is known to be a characteristic phenomenon of topological Josephson junctions hosting Majorana zero modes (MZMs), where the Josephson current has a $4\pi$ (rather than a $2\pi$) periodicity in the phase…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Akira Furusaki

For certain orientations of Josephson junctions between two p_x-wave or two d-wave superconductors, the subgap Andreev bound states produce a 4pi-periodic relation between the Josephson current I and the phase difference phi: I sin(phi/2).…

Superconductivity · Physics 2016-08-31 Hyok-Jon Kwon , K. Sengupta , Victor M. Yakovenko

We investigate the effect of helical Majorana fermions at the surface of superconducting topological insulators (STI) on the Josephson current by referring to possible pairing states of Cu-doped Bi2Se3. The surface state in the present STI…

Superconductivity · Physics 2013-04-02 Ai Yamakage , Masatoshi Sato , Keiji Yada , Satoshi Kashiwaya , Yukio Tanaka

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

Currently, much effort is being put into detecting unconventional p-wave superconductivity in Josephson junctions based on topological insulators (TIs). For that purpose we propose to use superconducting Klein tunneling, i.e. the…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 G. Tkachov , E. M. Hankiewicz

We use Superconducting QUantum Interference Device (SQUID) microscopy to characterize the current-phase relation (CPR) of Josephson Junctions from 3-dimentional topological insulator HgTe (3D-HgTe). We find clear skewness in the CPRs of…

Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto

We study the current-phase relation of a ballistic SIFIT junction, consisting of a spin-singlet superconductor (S), a weak ferromagnetic metal (F), a spin-triplet superconductor (T), and insulating ferromagnetic interfaces (I). We use the…

Superconductivity · Physics 2018-03-14 Chi-Hoon Choi

We study the Josephson effect in a trijunction formed by two topological superconductor (TS) wires and a conventional $s$-wave superconductor. Using a boundary Green's function formalism, analytical results for the current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 A. Zazunov , R. Egger , M. Alvarado , A. Levy Yeyati

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 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

We propose a Josephson junction setup based on a topological insulator (TI) thin film to detect Majorana states, which exploits the unique helical and extended nature of the TI surface state. When the magnetic flux through the junction is…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Andrew C. Potter , Liang Fu

In this work we investigate the supercurrent in a hybrid topological Josephson junction consisting of two planes of topological insulator (TI) in a specific configuration, which allows both local (LAR) and crossed (CAR) Andreev processes at…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Gianmichele Blasi , Fabio Taddei , Vittorio Giovannetti , Alessandro Braggio

Topological Josephson junctions (TJJs) have been a subject of widespread interest due to their hosting of Majorana zero modes. In long junctions, i.e. junctions where the junction length exceeds the superconducting coherence length, TJJs…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Daniel Frombach , Patrik Recher

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

We study a phase-tunable four-terminal Josephson junction formed in an InSbAs two-dimensional electron gas proximitized by aluminum. By embedding the two pairs of junction terminals in asymmetric DC SQUIDs we can control the superconducting…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Christian G. Prosko , Wietze D. Huisman , Ivan Kulesh , Di Xiao , Candice Thomas , Michael J. Manfra , Srijit Goswami