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This is a colloquium-style introduction to two electronic processes in a carbon monolayer (graphene), each having an analogue in relativistic quantum mechanics. Both processes couple electron-like and hole-like states, through the action of…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 C. W. J. Beenakker

We show that Andreev reflection in a junction between ferromagnetic (F) and superconducting (S) graphene regions is fundamentally different from the common FS junctions. For a weakly doped F graphene with an exchange field $h$ larger than…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Malek Zareyan , Hakimeh Mohammadpour , Ali G. Moghaddam

We study the interplay of Klein tunneling (= interband tunneling) between n-doped and p-doped regions in graphene and Andreev reflection (= electron-hole conversion) at a superconducting electrode. The tunneling conductance of an n-p-n…

Mesoscale and Nanoscale Physics · Physics 2007-06-10 A. Ossipov , M. Titov , C. W. J. Beenakker

Scattering processes in quantum materials emerge as resonances in electronic transport, including confined modes, Andreev states, and Yu-Shiba-Rusinov states. However, in most instances, these resonances are driven by a single scattering…

Superconductivity · Physics 2023-04-26 Sharadh Jois , Jose L. Lado , Genda Gu , Qiang Li. , Ji Ung Lee

Electrons incident from a normal metal onto a superconductor are reflected back as holes - a process called Andreev reflection. In a normal metal where the Fermi energy is much larger than a typical superconducting gap, the reflected hole…

Mesoscale and Nanoscale Physics · Physics 2016-08-04 D. K. Efetov , L. Wang , C. Handschin , K. B. Efetov , J. Shuang , R. Cava , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean , P. Kim

Graphene's exceptional electronic mobility, gate-tunability, and contact transparency with superconducting materials make it ideal for exploring the superconducting proximity effect. However, the work function difference between graphene…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Seong Jang , Geon-Hyoung Park , Sein Park , Hyeon-Woo Jeong , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

We investigate the crossed Andreev reflections between two graphene leads connected by a narrow superconductor. When the leads are respectively of the n-and p- type, we find that electron elastic cotunneling and local Andreev reflection are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Cayssol

We theoretically demonstrate unusual features of superconducting proximity effect in gapped graphene which presents a pseudospin symmetry-broken ferromagnet with a net pseudomagnetization. We find that the presence of a band gap makes the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Leyla Majidi , Malek Zareyan

A normal conductor placed in good contact with a superconductor can inherit its remarkable electronic properties. This proximity effect microscopically originates from the formation in the conductor of entangled electron-hole states, called…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Landry Bretheau , Joel I-Jan Wang , Riccardo Pisoni , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

Coherent charge transport along ballistic paths can be introduced into graphene by Andreev reflection, for which an electron reflects from a superconducting contact as a hole, while a Cooper pair is transmitted. We use a liquid-helium…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 S. Bhandari , G. -H. Lee , K. Watanabe , T. Taniguchi , P. Kim , R. M. Westervelt

We address the controversy over the proximity effect between topological materials and high T$_{c}$ superconductors. Junctions are produced between Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ and materials with different Fermi surfaces…

We study resonant tunneling through a superconducting double barrier structure in graphene as a function of the system parameters. At each barrier, due to the proximity effect, an incident electron can either reflect as an electron or a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Arijit Kundu , Sumathi Rao , Arijit Saha

Superconductivity can be induced in a normal material via the leakage of superconducting pairs of charge carriers from an adjacent superconductor. This so-called proximity effect is markedly influenced by graphene unique electronic…

We report the study of ballistic transport in normal metal/graphene/superconductor junctions in edge-contact geometry. While in the normal state, we have observed Fabry-P\'{e}rot resonances suggesting that charge carriers travel…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 P. Pandey , R. Kraft , R. Krupke , D. Beckmann , R. Danneau

By combining the Dirac equation of relativistic quantum mechanics with the Bogoliubov-De Gennes equation of superconductivity we investigate the electron-hole conversion at a normal-metal--superconductor interface in graphene. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä

Andreev bound states are superpositions of electrons and holes in a metal that form by coherent reflection from a superconductor. When the length of the superconductor is comparable to the superconducting coherence length, Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Anders Enevold Dahl , Andrea Maiani , Max Geier , Javad Shabani , Karsten Flensberg

We propose that a device composed of two vertically stacked monolayer graphene Josephson junctions can be used for Cooper pair splitting. The hybridization of the Andreev bound states of the two Josephson junction can facilitate non-local…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Eduárd Zsurka , Noel Plaszkó , Péter Rakyta , Andor Kormányos

The tunneling spectrum of an electron and a hole in metal-superconductor-metal junctions is computed using the Blonder-Tinkham-Klapwijk theory. The incident and the outgoing currents finally balance each other by an interface charge inside…

Superconductivity · Physics 2014-08-20 W. LiMing , J. J. Ouyang , Liangbin Hu

We report the investigation of electron transport through a four-terminal graphene-superconductor hybrid system. Due to the quantum interference of the reflected holes from two graphene-superconductor interfaces with phase difference…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Shu-guang Cheng , Yanxia Xing , Jian Wang , Qing-feng Sun
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