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We investigate the sub gap properties of a three terminal Josephson T-junction composed of topologically superconducting wires connected by a normal metal region. This system naturally hosts zero energy Andreev bound states which are of…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Christian Spånslätt , Eddy Ardonne

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We theoretically investigate the Josephson effect between two proximized Fibonacci quasicrystals. A quasiperiodic modulation of the chemical potential on a superconducting substrate induces topological gaps and edge modes with energies…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Keiji Yada , Yukio Tanaka , Pablo Burset

We investigate the spectrum of Andreev bound states and supercurrent in a $p$-wave non-Hermitian Josephson junction (NHJJ) in one dimension. The studied NHJJ is composed of two topological $p$-wave superconductors connected by a…

Superconductivity · Physics 2025-12-24 Chang-An Li , Björn Trauzettel

The modern understanding of the Josephson effect in mesosopic devices derives from the physics of Andreev bound states, fermionic modes that are localized in a superconducting weak link. Recently, Josephson junctions constructed using…

Superconductivity · Physics 2018-08-01 M. Hays , G. de Lange , K. Serniak , D. J. van Woerkom , D. Bouman , P. Krogstrup , J. Nygård , A. Geresdi , M. H. Devoret

We investigate Josephson junctions on the surface of a three-dimensional topological insulator in planar, step, and edge geometries. The elliptical nature of the Dirac cone representing the side surface states of the topological insulator…

Mesoscale and Nanoscale Physics · Physics 2014-08-11 Jennifer Nussbaum , Thomas L. Schmidt , Christoph Bruder , Rakesh P. Tiwari

In bulk superconductors or Josephson junctions formed in materials with spin-orbit interaction, the critical current can depend on the direction of current flow and applied magnetic field, an effect known as the superconducting (SC) diode…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Henry F. Legg , Katharina Laubscher , Daniel Loss , Jelena Klinovaja

The Josephson effect in p-wave superconductor / diffusive normal metal / p-wave superconductor junctions is studied theoretically. Amplitudes of Josephson currents are several orders of magnitude larger than those in s-wave junctions.…

Superconductivity · Physics 2009-11-11 Yasuhiro Asano , Yukio Tanaka , Satoshi Kashiwaya

Topological Josephson junctions (JJs), which contain Majorana bound states, are expected to exhibit 4$\pi$-periodic current-phase relation, thereby resulting in doubled Shapiro steps under microwave irradiation. We performed numerical…

Superconductivity · Physics 2020-12-30 Yeongmin Jang , Yong-Joo Doh

Topological insulator (TI) nanowires in proximity with conventional superconductors have been proposed as a tunable platform to realize topological superconductivity and Majorana zero modes (MZM). The tuning is done using an axial magnetic…

We study the spin transport through a 1D quantum Ising-XY-Ising spin link that emulates a topological superconducting-normal-superconducting structure via Jordan-Wigner (JW) transformation. We calculate, both analytically and numerically,…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Pei-Xin Shen , Silas Hoffman , Mircea Trif

The Josephson diode effect, where the critical current magnitude depends on its direction, arises when both time-reversal and inversion symmetries are broken - often achieved by a combination of spin-orbit interaction and applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Gerrit Behner , Abdur Rehman Jalil , Detlev Grützmacher , Thomas Schäpers

Superconducting systems exhibit non-reciprocal current transport under certain conditions of symmetry breaking, a phenomenon known as the superconducting diode effect. This effect allows for perfect rectification of supercurrent, and has…

Majorana bound states in topological Josephson junctions induce a 4? period current-phase relation. Direct detection of the 4? periodicity is complicated by the quasiparticle poisoning. We reveal that Majorana bound states are also signaled…

Superconductivity · Physics 2017-07-24 Hong Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

We study the emergence of the nonlocal Josephson effect in a system composed of three laterally coupled minimal Kitaev chains and exploit it to realize the nonlocal Josephson diode effect. We find that an imbalance between crossed Andreev…

Superconductivity · Physics 2026-03-27 Jorge Cayao , Masatoshi Sato

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

We investigate theoretically the Josephson junction of semiconductor nanowire with strong spin-orbit (SO) interaction in the presence of magnetic field. By using a tight-binding model, the energy levels $E_n$ of Andreev bound states are…

Mesoscale and Nanoscale Physics · Physics 2014-05-09 Tomohiro Yokoyama , Mikio Eto , Yuli V. Nazarov

We perform switching current measurements of planar Josephson junctions (JJs) coupled by a common superconducting electrode, with independent control over the two superconducting phase differences. We observe an anomalous phase shift in the…

We study theoretically proximity-induced superconductivity and ferromagnetism on the surface of a topological insulator. In particular, we investigate how the Andreev-bound states are influenced by the interplay between these phenomena,…

Superconductivity · Physics 2015-05-18 Jacob Linder , Yukio Tanaka , Takehito Yokoyama , Asle Sudbø , Naoto Nagaosa