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Detection and control of Andreev Bound States (ABSs) localized at semiconductor-superconductor interfaces are essential for their use in quantum applications. Here we investigate the impact of ABSs on the supercurrent through a Josephson…

The phenomenon of non-reciprocal critical current in a Josephson device, termed the Josephson diode effect, has garnered much recent interest. Realization of the diode effect requires inversion symmetry breaking, typically obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Mohit Gupta , Gino V. Graziano , Mihir Pendharkar , Jason T. Dong , Connor P. Dempsey , Chris Palmstrøm , Vlad S. Pribiag

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

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

We uncover hierarchy of topological phases within the synthetic Brillouin zone of a three-terminal Josephson junction's (3-TJJ's) Bogoliubov-de Gennes spectrum. We demonstrate that the above-gap continuum realizes a Chern insulator phase…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Subhadeep Chakraborty , Aabir Mukhopadhyay , Udit Khanna , Sourin Das

We consider phase-biased Josephson junctions with spin-orbit coupling under external magnetic fields and study the emergence of the Josephson diode effect in the presence of Majorana bound states. We show that junctions having middle…

Superconductivity · Physics 2024-03-08 Jorge Cayao , Naoto Nagaosa , Yukio Tanaka

Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of…

Superconductivity · Physics 2015-09-28 Matthias Eschrig

We propose a versatile setup that allows performing spin-resolved spectroscopy of helical Andreev bound states, proving their existence and therefore the topological nature of the Josephson junction that hosts them. The latter is realized…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Alessio Calzona , Björn Trauzettel

Josephson junctions made of closely-spaced conventional superconductors on the surface of 3D topological insulators have been proposed to host Andreev bound states (ABSs) which can include Majorana fermions. Here, we present an extensive…

Superconductivity · Physics 2014-07-04 C. Kurter , A. D. K. Finck , P. Ghaemi , Y. S. Hor , D. J. Van Harlingen

The combination of an ordinary s-type superconductor with three-dimensional topological insulators creates a promising platform for fault-tolerant topological quantum computing circuits based on Majorana braiding. The backbone of the…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Gerrit Behner , Abdur Rehman Jalil , Alina Rupp , Hans Lüth , Detlev Grützmacher , Thomas Schäpers

We theoretically investigate how the spin susceptibility of a planar Josephson junction is affected when the system transits into the topological superconducting state. We show that the magnetic flux and magnetic field dependence of the…

Superconductivity · Physics 2021-10-04 Joseph D. Pakizer , Alex Matos-Abiague

To guide the search for the Majorana fermion, we theoretically study superconductor/topological/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 M. Snelder , M. Veldhorst , A. A. Golubov , A. Brinkman

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

The interplay between topological protection and dissipation constitutes a critical frontier in the realization of hybrid quantum devices. Here, we investigate the transport signatures in a dissipative topological insulator-based Josephson…

Superconductivity · Physics 2025-12-03 Ardamon Sten , Paramita Dutta , Sudeep Kumar Ghosh

We investigate phase-coherent thermal transport in Josephson junctions made from unconventional superconductors or superfluids. The thermal conductance is evaluated for one- and two-dimensional junctions within the Bogoliubov-de Gennes…

Mesoscale and Nanoscale Physics · Physics 2019-07-09 Alexander G. Bauer , Björn Sothmann

We investigate manipulation with Andreev bound states in Josephson quantum point contacts with magnetic scattering. Rabi oscillations in the two-level Andreev subsystems are excited by resonant driving the direction of magnetic moment of…

Superconductivity · Physics 2009-11-13 J. Michelsen , V. S. Shumeiko , G. Wendin

We theoretically investigate the superconducting phase and perpendicular Josephson supercurrent in twisted three-dimensional (3D) superconductors, where two layered 3D materials are stacked with a relative twist. We formulate the…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Tenta Tani , Takuto Kawakami , Mikito Koshino

We develop a detailed microscopic theory describing dc Josephson effect and Andreev bound states in superconducting junctions with a half-metal. In such systems the supercurrent is caused by triplet pairing states emerging due to spin-flip…

Superconductivity · Physics 2008-03-29 Artem V. Galaktionov , Mikhail S. Kalenkov , Andrei D. Zaikin

We study the Josephson effect in a clean noncentrosymmetric superconductor/half-metal/noncentrosymmetric superconductor junction, which is grown on the surface of a three-dimensional Topological Insulator (TI) in the ballistic limit. We…

Superconductivity · Physics 2022-07-08 Saumen Acharjee , Umananda Dev Goswami

We consider a Josephson junction built with the two-dimensional semi-Dirac semimetal, which features a hybrid of linear and quadratic dispersion around a nodal point. We model the weak link between the two superconducting regions by a Dirac…

Superconductivity · Physics 2024-04-10 Ipsita Mandal
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