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The quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded and brought into focus the concept of topological order in physics. The topologically protected quantum Hall edge states are of crucial importance to the QH…

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

We study the crossed Andreev effects in two-dimensional conductor/superconductor hybrid systems under a perpendicular magnetic field. Both a graphene/superconductor hybrid system and an electron gas/superconductor one are considered. It is…

介观与纳米尺度物理 · 物理学 2017-11-16 Zhe Hou , Yanxia Xing , Ai-Min Guo , Qing-Feng Sun

At a normal-metal/superconductor interface, an incident electron from the normal-metal (N) side can be normally reflected as an electron or Andreev reflected as a hole. We show that pronounced lateral shifts along the interface between the…

介观与纳米尺度物理 · 物理学 2018-09-12 Ying Liu , Zhi-Ming Yu , Hua Jiang , Shengyuan A. Yang

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…

介观与纳米尺度物理 · 物理学 2015-05-13 Qing-feng Sun , X. C. Xie

We study a continuum model of the interface of graphene and vacuum in the quantum hall regime via sign-problem-free quantum Monte Carlo, allowing us to investigate the interplay of topology and strong interactions in a graphene quantum Hall…

强关联电子 · 物理学 2022-10-12 Zhenjiu Wang , David J. Luitz , Inti Sodemann Villadiego

We study Andreev reflection in graphene nanoribbon/superconductor hybrid junctions. By using a tight-binding approach and the scattering formalism we show that finite-size effects lead to notable differences with respect to the bulk…

介观与纳米尺度物理 · 物理学 2009-03-28 Diego Rainis , Fabio Taddei , Fabrizio Dolcini , Marco Polini , Rosario Fazio

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…

介观与纳米尺度物理 · 物理学 2020-08-26 S. Bhandari , G. -H. Lee , K. Watanabe , T. Taniguchi , P. Kim , R. M. Westervelt

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…

介观与纳米尺度物理 · 物理学 2007-05-23 C. W. J. Beenakker

We investigate transport in a gate-defined graphene quantum point contact in the quantum Hall regime. Edge states confined to the interface of p and n regions in the graphene sheet are controllably brought together from opposite sides of…

介观与纳米尺度物理 · 物理学 2011-07-15 S. Nakaharai , J. R. Williams , C. M. Marcus

Quantum Hall-superconductor heterostructures provide possible platforms for intrinsically fault-tolerant quantum computing. Motivated by several recent experiments that successfully integrated these phases, we investigate transport through…

介观与纳米尺度物理 · 物理学 2022-12-21 Yuchen Tang , Christina Knapp , Jason Alicea

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…

介观与纳米尺度物理 · 物理学 2015-05-14 Shu-guang Cheng , Yanxia Xing , Jian Wang , Qing-feng Sun

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…

介观与纳米尺度物理 · 物理学 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

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

介观与纳米尺度物理 · 物理学 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

We theoretically study the quantum Hall effect (QHE) in graphene with an ac electric field. Based on the tight-binding model, the structure of the half-integer Hall plateaus at $\sigma_{xy} = \pm(n + 1/2)4e^2/h$ ($n$ is an integer) gets…

介观与纳米尺度物理 · 物理学 2018-01-17 Kai-He Ding , Lih-King Lim , Gang Su , Zheng-Yu Weng

The quantum Hall effect is the seminal example of topological protection, as charge carriers are transmitted through one-dimensional edge channels where backscattering is prohibited. Graphene has made its marks as an exceptional platform to…

介观与纳米尺度物理 · 物理学 2021-07-14 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoit Hackens

Electronic edge states in topological insulators have become a major paradigm in physics. The oldest and primary example is that of quantum Hall (QH) edge channels that propagate along the periphery of two-dimensional electron gases (2DEGs)…

We simulate a hybrid superconductor-graphene device in the quantum Hall regime to identify the origin of downstream resistance oscillations in a recent experiment [Zhao et. al. Nature Physics 16, (2020)]. In addition to the previously…

介观与纳米尺度物理 · 物理学 2022-12-16 Antonio L. R. Manesco , Ian Matthias Flór , Chun-Xiao Liu , Anton R. Akhmerov

Andreev reflection-where an electron in a normal metal backscatters off a superconductor into a hole-forms the basis of low energy transport through superconducting junctions. Andreev reflection in confined regions gives rise to discrete…

Graphene nanoribbons can be folded into a double layer system keeping the two layers decoupled. In the Quantum Hall regime folds behave as a new type of Hall bar edge. We show that the symmetry properties of the zero Landau level in…

介观与纳米尺度物理 · 物理学 2010-09-06 Elsa Prada , Pablo San-Jose , Luis Brey