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We demonstrate microwave measurements of the Andreev bound state (ABS) spectrum in planar Josephson junctions (JJs) defined in Ge high mobility two-dimensional hole gases contacted by superconducting PtSiGe. The JJs and readout circuitry…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 M. Hinderling , S. C. ten Kate , M. Coraiola , D. Z. Haxell , M. Stiefel , M. Mergenthaler , S. Paredes , S. W. Bedell , D. Sabonis , F. Nichele

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 study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrix based formalism which allows us to…

Superconductivity · Physics 2018-05-30 Oindrila Deb , K. Sengupta , Diptiman Sen

We study Andreev reflection and Andreev levels $\varepsilon$ in Zeeman-split superconductor/Rashba wire/Zeeman-split superconductor junctions by solving the Bogoliubov de-Gennes equation. We theoretically demonstrate that the Andreev levels…

Superconductivity · Physics 2017-10-11 Tatsuki Hashimoto , Alexander A. Golubov , Yukio Tanaka , Jacob Linder

In hybrid Josephson junctions with three or more superconducting terminals coupled to a semiconducting region, Andreev bound states may form unconventional energy band structures, or Andreev matter, which are engineered by controlling…

We theoretically study a Josephson junction consisting of s-wave superconductors and a p-wave magnet. We find that in the presence of a strength vector of p-wave magnet, the electrons' and holes' dispersion relation shifts in the k-space.…

Superconductivity · Physics 2025-07-16 Morteza Salehi

Andreev bound states (ABS) occur in Josephson junctions when the total phase of the Andreev and normal reflections is a multiple of $2\pi$. In ballistic junctions with an applied voltage bias, a quasi-particle undergoes multiple Andreev…

In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Alexander Schuray , Daniel Frombach , Sunghun Park , Patrik Recher

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

We investigate the superconducting Anderson impurity model for interacting quantum dot Josephson junctions with spin-orbit coupling and a term accounting for tunnelling through higher-energy orbitals. These elements establish the conditions…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Teodor Iličin , Rok Žitko

We show that a pair of overlapping Majorana bound states (MBSs) forming a partially-separated Andreev bound state (ps-ABS) represents a generic low-energy feature in spin-orbit coupled semiconductor-superconductor (SM-SC) hybrid nanowires…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Christopher Moore , Tudor D. Stanescu , Sumanta Tewari

Ag/BSCCO and Fe/Ag/BSCCO planar tunnel junctions were constructed in order to study experimentally the effect of an exchange potential on the spin polarized current transported through Andreev bound states appearing at the interface with a…

Superconductivity · Physics 2007-05-23 Mario Freamat , K. -W. Ng

In modern experiments with hybrid superconducting (SC)/semiconducting nanowires the presence of zero-energy Andreev bound states (ABSs), characterized by a partial overlap of the Majorana wave functions, is a common problem that…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 S. V. Aksenov

Andreev bound states (ABS) at the surface of superconductors are expected for any pair potential showing a sign change in different k-directions with their spectral weight depending on the relative orientation of the surface and the pair…

Superconductivity · Physics 2009-10-31 L. Alff , S. Kleefisch , U. Schoop , M. Zittartz , T. Kemen , T. Bauch , A. Marx , R. Gross

We have performed microwave spectroscopy of Andreev states in superconducting weak links tailored in an InAs-Al (core-full shell) epitaxially-grown nanowire. The spectra present distinctive features, with bundles of four lines crossing when…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 L. Tosi , C. Metzger , M. F. Goffman , C. Urbina , H. Pothier , Sunghun Park , A. Levy Yeyati , J. Nygård , P. Krogstrup

Recently, topological superconductors based on Josephson junctions in two-dimensional electron gases with strong Rashba spin-orbit coupling have been proposed as attractive alternatives to wire-based setups. Here, we elucidate how…

Superconductivity · Physics 2019-06-14 Benedikt Scharf , Falko Pientka , Hechen Ren , Amir Yacoby , Ewelina M. Hankiewicz

Motivated by an important recent experiment [Deng et al., Science 354, 1557 (2016)], we theoretically consider the interplay between Andreev bound states(ABSs) and Majorana bound states(MBSs) in quantum dot-nanowire semiconductor systems…

Mesoscale and Nanoscale Physics · Physics 2017-09-07 Chun-Xiao Liu , Jay D. Sau , Tudor D. Stanescu , S. Das Sarma

Spectra and spin structures of Andreev interface states and the Josephson current are investigated theoretically in junctions between clean superconductors (SC) with ordered interlayers. The Josephson current through the…

Superconductivity · Physics 2009-11-11 Yuri Barash , I. V. Bobkova , Brian M. Andersen , T. Kopp , P. J. Hirschfeld

Experimental evidence for Majorana bound states (MBSs) is so far mainly based on the robustness of a zero-bias conductance peak. However, similar features can also arise due to Andreev bound states (ABSs) localized at the end of an island.…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Michael Hell , Karsten Flensberg , Martin Leijnse

We study the interplay between Andreev (Majorana) bound states that form at the boundary of a (topological) superconductor and a train of microwave pulses. We find that the extra dynamical phase coming from the pulses can shift the phase of…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Joseph Weston , Benoit Gaury , Xavier Waintal