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We study Josephson effect in a ballistic graphene strip of length $L$ smaller than the superconducting coherence length and arbitrary width $W$. We find that the dependence of the critical supercurrent $I_{c}$ on $W$ is drastically…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ali G. Moghaddam , Malek Zareyan

We theoretically reveal the unusual features of the Josephson effect in a strained zigzag graphene nanoribbon with a small length relative to the superconducting coherence length and an arbitrary width. We find a step-wise variation of the…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Leyla Majidi , Reza Asgari

Hybrid graphene-superconductor devices have attracted much attention since the early days of graphene research. So far, these studies have been limited to the case of diffusive transport through graphene with poorly defined and modest…

We have used Bi$_2$Se$_3$ nanoribbons, grown by catalyst-free Physical Vapor Deposition to fabricate high quality Josephson junctions with Al superconducting electrodes. In our devices we observe a pronounced reduction of the Josephson…

Graphene-based Josephson junctions provide a novel platform for studying the proximity effect due to graphene's unique electronic spectrum and the possibility to tune junction properties by gate voltage. Here we describe graphene junctions…

We investigate the Josephson current in a graphene superconductor/normal/superconductor junction, where superconductivity is induced by means of the proximity effect from external contacts. We take into account the possibility of…

Superconductivity · Physics 2015-05-13 Jacob Linder , Annica M. Black-Schaffer , Takehito Yokoyama , Sebastian Doniach , Asle Sudbø

Short ballistic graphene Josephson junctions sustain superconducting current with a non-sinusoidal current-phase relation up to a critical current threshold. The current-phase relation, arising from proximitized superconductivity, is…

Mesoscale and Nanoscale Physics · Physics 2020-01-09 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

A graphene nano-ribbon with armchair edges is known to have no edge state. However, if the nano-ribbon is in the quantum spin Hall (QSH) state, then there must be helical edge states. By folding a graphene ribbon to a ring and threading it…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Bor-Luen Huang , Ming-Che Chang , Chung-Yu Mou

We study the electron transport through a graphene nanoribbon-superconductor junction. Both zigzag and armchair edge graphene nanoribbons are considered, and the effects of the magnetic field and disorder on the transport property are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Qing-feng Sun , X. C. Xie

This review discusses the electronic properties and the prospective research directions of superconductor-graphene heterostructures. The basic electronic properties of graphene are introduced to highlight the unique possibility of combining…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Gil-Ho Lee , Hu-Jong Lee

We use time dependent perturbation theory to study quantum size effects on the terahertz nonlinear response of metallic graphene armchair nanoribbons of finite length under an applied electric field. Our work shows that quantization due to…

Mesoscale and Nanoscale Physics · Physics 2016-08-22 Yichao Wang , David R. Andersen

We present fully self-consistent calculations of the thermodynamic properties of three-dimensional clean SNS Josephson junctions, where S is an s-wave short-coherence-length superconductor and N is a clean normal metal. The junction is…

Superconductivity · Physics 2016-08-31 Branislav K. Nikolic , J. K. Freericks , P. Miller

The low-energy spectrum of graphene nanoribbons with armchair edges (armchair nanoribbons) is described as the superposition of two non-equivalent Dirac points of graphene. In spite of the lack of well-separated two valley structures, the…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Yositake Takane , Katsunori Wakabayashi

The magnetoconductance of graphene nanoribbons with rough zigzag and armchair edges is studied by numerical simulations. nanoribbons with sufficiently small bulk disorder show a pronounced magnetoconductance minimum at cyclotron radii close…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

Unlike for tunneling Josephson junctions, for which the current-phase relation is given by the sine function, with the critical current ($I_c$) and normal-state resistance ($R_N$) following the relation $I_cR_N=(\pi/2)\,\Delta_0/e$ (where…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Adam Rycerz

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

Semiconductor-based Josephson junctions provide a platform for studying proximity effect due to the possibility of tuning junction properties by gate voltage and large-scale fabrication of complex Josephson circuits. Recently Josephson…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 William Mayer , Joseph Yuan , Kaushini Wickramasinghe , Tri Nguyen , Matthieu C. Dartiailh , Javad Shabani

A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson

We provide a theoretical study of the conductance response of systems based on graphene nanoribbon to the potential of a scanning probe. The study is based on the Landauer approach for the tight-binding Hamiltonian with an implementation of…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran

Extended defects are known to strongly affect nanoscale superconductors. Here we report the properties of superconducting nanoribbons with a constriction formed between two adjacent step-edges, by solving the Bogoliubov-de Gennes equations…

Superconductivity · Physics 2018-04-23 L. Flammia , L. -F. Zhang , L. Covaci , A. Perali , M. V. Milošević
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