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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

Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn…

Strongly Correlated Electrons · Physics 2021-03-24 Bernhard Irsigler , Tobias Grass , Jun-Hui Zheng , Mathieu Barbier , Walter Hofstetter

When a Josephson junction is exposed to microwave radiation, it undergoes the inverse AC Josephson effect - the phase of the junction locks to the drive frequency. As a result, the I-V curves of the junction acquire "Shapiro steps" of…

We provide a manifestly topological classification scheme for generalised Weyl semimetals, in any spatial dimension and with arbitrary Weyl surfaces which may be non-trivially linked. The classification naturally incorporates that of Chern…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Varghese Mathai , Guo Chuan Thiang

Multi-terminal Josephson junctions were recently proposed as a versatile and tunable platform to emulate topological Bloch-like Hamiltonians in arbitrary dimensions. In this perspective article, we will give a brief overview of the subject…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

Hybrid multiterminal Josephson junctions (JJs) are expected to harbor a novel class of Andreev bound states (ABSs), including topologically nontrivial states in four-terminal devices. In these systems, topological phases emerge when ABSs…

Multiterminal Josephson junctions (MTJJs), devices in which a normal metal is in contact with three or more superconducting leads, have been proposed as artificial analogs of topological crystals. The topological nature of MTJJs manifests…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Maxwell Wisne , Yanpei Deng , Markus Lilja , Pertti Hakonen , Venkat Chandrasekhar

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

Recent progress has enabled the controlled fabrication of domain walls (DWs) in graphene, which host topological kink states. Meanwhile, reliable techniques for constructing graphene-based Josephson junctions have been established. While…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Xia'an Du , Junjie Qi , Hua Jiang , X. C. Xie

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

As part of the intense effort towards identifying platforms in which Majorana bound states can be realized and manipulated to perform qubit operations, we propose a topological Josephson junction architecture that achieves these…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Suraj S. Hegde , Guang Yue , Yuxuan Wang , Erik Huemiller , D. J. Van Harlingen , Smitha Vishveshwara

We introduce and investigate material junctions as a generic and tuneable electronic platform for the realization of exotic non-Hermitian (NH) topological states of matter, where the NH character is induced by the surface self-energy of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Emil J. Bergholtz , Jan Carl Budich

We calculate the Josephson current density j(phi) for a Weyl superconductor--normal-metal--superconductor junction for which the outer terminals are superconducting Weyl metals and the normal layer is a Weyl (semi)metal. We describe the…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 Kevin A. Madsen , Emil J. Bergholtz , Piet W. Brouwer

We theoretically study low energy electric transport in a junction consisting of a Weyl semimetal and a metallic superconductor. The characteristic features of the differential conductance depend on the relative directions between the…

Superconductivity · Physics 2014-07-10 Shuhei Uchida , Tetsuro Habe , Yasuhiro Asano

Due to their topological charge, or chirality, the Weyl cones present in topological semimetals are considered robust against arbitrary perturbations. One well-understood exception to this robustness is the pairwise creation or annihilation…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Viktor Könye , Adrien Bouhon , Ion Cosma Fulga , Robert-Jan Slager , Jeroen van den Brink , Jorge I. Facio

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

Recently we predicted that the Andreev bound state spectrum of 4-terminal Josephson junctions may possess topologically protected zero-energy Weyl singularities, which manifest themselves in a quantized transconductance in units of $4e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Erik Eriksson , Roman-Pascal Riwar , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

We investigate thermal and non-local electrical transport in four-terminal Josephson junctions formed by a normal region coupled to two transverse chiral superconducting leads, supporting phases characterized by Chern numbers ${\cal…

The $4\pi$ Josephson Effect is a distinguishing feature of a topological Josephson junction. However, stringent conditions make it hard to observe in experiments. Here we numerically study the transient transport properties in a topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Dihao Sun , Jie Liu