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We study Andreev bound state (ABS) and surface density of state (SDOS) of non-centrosymmetric superconductor where spin-singlet $d$-wave pairing mixes with spin-triplet $p$ (or $f)$-wave one by spin-orbit coupling. For $d_{xy} + p$-wave…

Superconductivity · Physics 2011-07-05 Keiji Yada , Masatoshi Sato , Yukio Tanaka , Takehito Yokoyama

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…

Hybrid superconductor-semiconductor nanowires with Rashba spin-orbit coupling are arguably becoming the leading platform for the search of Majorana bound states (MBSs) in engineered topological superconductors. We perform a systematic…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 Jorge Cayao , Annica M. Black-Schaffer , Elsa Prada , Ramón Aguado

We study one-dimensional topological SN and SNS long junctions obtained by placing a topological insulating nanowire in the proximity of either one or two SC finite-size leads. Using the Majorana Polarization order parameter (MP) introduced…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 D. Chevallier , D. Sticlet , P. Simon , C. Bena

Tunneling spectroscopy measurements are often used to probe the energy spectrum of Andreev bound states (ABSs) in semiconductor-superconductor hybrids. Recently, this spectroscopy technique has been incorporated into planar Josephson…

The energies of Andreev bound states (ABS) forming in a $N$-terminal junction are affected by $N - 1$ independent macroscopic phase differences between superconducting leads and can be regarded as energy bands in $N - 1$ periodic solid…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 Tomohiro Yokoyama , Yuli V. Nazarov

Hybrid nanowires combining semiconductor and superconductor materials appear well suited for the creation, detection, and control of Majorana bound states (MBSs). We demonstrate the emergence of MBSs from coalescing Andreev bound states…

Mesoscale and Nanoscale Physics · Physics 2017-01-06 M. T. Deng , S. Vaitiekenas , E. B. Hansen , J. Danon , M. Leijnse , K. Flensberg , J. Nygård , P. Krogstrup , C. M. Marcus

Confinement at the helical edge of a topological insulator is possible in the presence of proximity-induced magnetic (F) or superconducting (S) order. The interplay of both phenomena leads to the formation of localized Majorana bound states…

Superconductivity · Physics 2018-02-14 Felix Keidel , Pablo Burset , Björn Trauzettel

In this work we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the…

Superconductivity · Physics 2022-06-13 Hong-Yi Xie , Jaglul Hasan , Alex Levchenko

The unambiguous identification of topological Majorana-bound states (MBSs) in superconducting hybrid systems is hindered by trivial low-energy excitations, especially partially separated Andreev bound states (psABSs), which can mimic…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Shubhanshu Karoliya , Ekta , Gargee Sharma

Andreev bound states trapped in a multi-terminal Josephson junction (JJ) can be assigned a synthetic band topology owing to their periodic dependence on the Josephson phase bias. We demonstrate that the BdG symmetry adds a twist to this…

Mesoscale and Nanoscale Physics · Physics 2023-09-28 Aabir Mukhopadhyay , Udit Khanna , Sourin Das

We analyze the Andreev spectrum in a four-terminal Josephson junction between one-dimensional topological superconductors in class D. We find that a topologically protected crossing in the space of three superconducting phase differences…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Manuel Houzet , Julia S. Meyer

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…

Inspired by recent experiments, we study a short superconducting junction of length $L\ll \xi$ (coherence length) inserted in a dc-SQUID containing an ancillary Josephson tunnel junction. We evaluate the nonequilibrium occupation of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-23 Raffael L. Klees , Gianluca Rastelli , Wolfgang Belzig

A Josephson junction, formed between two phase-biased superconductors and a normal metal, hosts a discrete spectrum of Andreev bound states (ABS). In this paper, we develop a theory for long ballistic Andreev interferometers in…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 Régis Mélin , Asmaul Smitha Rashid , Morteza Kayyalha

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

Multiterminal Josephson junctions offer a powerful playground for exploring exotic superconducting and topological phenomena beyond the reach of conventional two-terminal devices. In this work, we present the direct spectroscopic…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Asmaul Smitha Rashid , Le Yi , Takashi Taniguchi , Kenji Watanabe , Nitin Samarth , Régis Mélin , Morteza Kayyalha

Andreev bound states (ABSs) are studied in quantum dot coupled to conventional BCS superconducting leads on the basis of effective slave boson Hamiltonian in an infinite-U (Coulomb interaction) limit followed by Green's function technique.…

Mesoscale and Nanoscale Physics · Physics 2020-07-21 Tanuj Chamoli , Ajay

We study nonequilibrium Andreev resonances in a voltage-biased graphene three-terminal Josephson junction (JJ). We observe periodic oscillations of resistance with maxima at multiples of the magnetic flux quantum (noninversion regime). As…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Asmaul Smitha Rashid , Le Yi , Takashi Taniguchi , Kenji Watanabe , Nitin Samarth , Régis Mélin , Morteza Kayyalha