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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 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 propose a phase-biased non-Hermitian Josephson junction (NHJJ) composed of two superconductors mediated by a short non-Hermitian link. Such a NHJJ is described by an effective non-Hermitian Hamiltonian derived based on the Lindblad…

Mesoscale and Nanoscale Physics · Physics 2024-06-24 Chang-An Li , Hai-Peng Sun , Björn Trauzettel

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

Superconductor-topological insulator-superconductor Josephson junctions have been fabricated in order to study the width dependence of the critical current, normal state resistance and flux periodicity of the critical current modulation in…

Superconductivity · Physics 2015-06-22 C. G. Molenaar , D. P. Leusink , X. L. Wang , A. Brinkman

The multi-terminal Josephson effect allows DC supercurrent to flow at finite commensurate voltages. Existing proposals to realize this effect rely on nonlocal Andreev processes in superconductor-normal-superconductor junctions. However,…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 André Melo , Valla Fatemi , Anton R. Akhmerov

We demonstrate that the subgap Andreev bound states in a transparent Josephson junction, comprising of either chiral or non-chiral superconductors, can be viewed as a consequence of the index theorem in supersymmetric quantum mechanics. We…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Sinchan Ghosh , Srinjoy Ghosh , Arijit Kundu , K. Sengupta

Multiterminal Josephson junctions are a promising platform to study non-trivial topology in engineered quantum systems. Yet, experimentally meaningful insight into what exactly makes these systems topologically non-trivial remains elusive.…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 David Christian Ohnmacht , Valentin Wilhelm , Wolfgang Belzig

The energy of an Andreev bound state in a clean normal metal in contact with two superconductors disperses with the difference $\Delta \phi$ in the superconducting phase between the superconductors in much the same way as the energies of…

Superconductivity · Physics 2023-01-25 Venkat Chandrasekhar

Andreev scattering and the Josephson current through a one-dimensional interacting electron liquid sandwiched between two superconductors are re-examined. We first present some apparently new results on the non-interacting case by studying…

Superconductivity · Physics 2009-10-31 Ian Affleck , Jean-Sebastien Caux , Alexandre Zagoskin

We demonstrate that the mode number of Andreev bound states in bilayer graphene Josephson junctions can be modulated by in situ control of the superconducting coherence length. By exploiting the quadratic band dispersion of bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Geon-Hyoung Park , Wonjun Lee , Sein Park , Kenji Watanabe , Takashi Taniguchi , Gil Young Cho , Gil-Ho Lee

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

We demonstrate how the boundary-driven reconstruction of the superconducting order parameter can be employed to manipulate the zero-energy Majorana bound states (MBSs) occurring in a topological Josephson junction. We focus on an interface…

Superconductivity · Physics 2019-09-23 Maria Teresa Mercaldo , Panagiotis Kotetes , Mario Cuoco

The first evidence of anomalous Josephson effect is reported in mesoscopic superconductor-normal metal-superconductor (SNS) junctions forming a crosslike Andreev Interferometer in the absence of magnetic and spin-orbit interactions normally…

Superconductivity · Physics 2023-06-02 D. Margineda , J. S. Claydon , F. Qejvanaj , C. Checkley

A tight-binding approach based on the Chebyshev-Bogoliubov-de Gennes method is used to describe disordered single-layer graphene Josephson junctions. Scattering by vacancies, ripples or charged impurities is included. We compute the…

Superconductivity · Physics 2015-06-23 W. A. Munoz , L. Covaci , F. M. Peeters

The theory of Andreev conductance is formulated for junctions involving normal metals (N) and multiband superconductors (S) and applied to the case of superconductors with nodeless extended $s_{\pm}$-wave order parameter symmetry, as…

Superconductivity · Physics 2015-05-13 A. A. Golubov , A. Brinkman , O. V. Dolgov , I. I. Mazin , Y. Tanaka

Topological Josephson junctions enable nonreciprocal transport involving Majorana fermions (MFs). Here we examine a topological Josephson junction with mixed $s$+$p$-wave pairing, where topological phase transition can be driven by…

Superconductivity · Physics 2025-06-23 Shu-Tong Guan , Jin An

We investigate the low-energy theory of a one-dimensional finite capacitance topological Josephson junction. Charge fluctuations across the junction couple to resonant microwave fields and can be used to probe microscopic excitations such…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Konstantin Yavilberg , Eran Ginossar , Eytan Grosfeld

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number.…

Strongly Correlated Electrons · Physics 2013-01-14 Jian-Hua Jiang , Si Wu

In recent years, various classes of systems were proposed to realize topological states of matter. One of them are multiterminal Josephson junctions where topological Andreev bound states are constructed in the synthetic space of…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 Lev Teshler , Hannes Weisbrich , Jonathan Sturm , Raffael L. Klees , Gianluca Rastelli , Wolfgang Belzig