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We study the low-energy edge states of a superconductor -- 3D topological-insulator hybrid structure (NS junction) in the presence of a perpendicular magnetic field. The hybridization of electron-like and hole-like Landau levels due to…

介观与纳米尺度物理 · 物理学 2014-10-10 Rakesh P. Tiwari , U. Zülicke , C. Bruder , Vladimir M. Stojanović

The combination of superconductivity and quantum Hall (QH) effect is regarded as a key milestone in advancing topological quantum computation in solid-state systems. Recent quantum interference studies suggest that QH edge states can…

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

介观与纳米尺度物理 · 物理学 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

We consider the proximity effect between a singlet s-wave superconductor and the edge of a Quantum Spin Hall (QSH) topological insulator. We establish that Andreev reflection at a QSH edge state/superconductor interface is perfect while…

介观与纳米尺度物理 · 物理学 2015-03-17 P. Adroguer , C. Grenier , D. Carpentier , J. Cayssol , P. Degiovanni , E. Orignac

The quantum Hall (QH) effect, the quantum spin Hall (QSH) effect and the quantum valley Hall (QVH) effect are three peculiar topological insulating phases in graphene. They are characterized by three different types of edge states. These…

介观与纳米尺度物理 · 物理学 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the…

介观与纳米尺度物理 · 物理学 2009-10-31 H. Hoppe , U. Zuelicke , Gerd Schoen

We have investigated Andreev-reflection processes occurring at a clean interface between a $p$-type semiconductor and a conventional superconductor. Our calculations are performed within a generalized Bogoliubov-de Gennes formalism where…

超导电性 · 物理学 2011-10-05 David Futterer , Michele Governale , Ulrich Zuelicke , Jürgen König

We investigate the formation and transport properties of chiral Andreev edge states in a two-dimensional quantum Hall system proximitized by a superconductor. By numerically modeling the system using the Bogoliubov-de Gennes equations, we…

介观与纳米尺度物理 · 物理学 2026-05-19 S. Maji , M. P. Nowak

We show that interface bound states are formed at isolated graphene-superconductor junctions. These states arise due to the interplay of virtual Andreev and normal reflections taking place at these interfaces. Simple analytical expressions…

介观与纳米尺度物理 · 物理学 2015-05-13 P. Burset , W. Herrera , A. Levy Yeyati

The interplay between quantum Hall states and Cooper pairs is usually hindered by the suppression of the superconducting state due to the strong magnetic fields needed to observe the quantum Hall effect. From this point of view graphene is…

超导电性 · 物理学 2015-06-03 Lucian Covaci , Francois Peeters

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…

超导电性 · 物理学 2023-04-26 Sharadh Jois , Jose L. Lado , Genda Gu , Qiang Li. , Ji Ung Lee

Electron correlation in a quantum many-body state appears as peculiar scattering behaviour at its boundary, symbolic of which is Andreev reflection at a metal-superconductor interface. Despite being fundamental in nature, dictated by the…

介观与纳米尺度物理 · 物理学 2021-05-20 Masayuki Hashisaka , Thibaut Jonckheere , Takafumi Akiho , Satoshi Sasaki , Jerome Rech , Thierry Martin , Koji Muraki

Andreev reflection occurs in a normal metal-superconductor junction, when an electron on the normal side can only be transmitted as a Cooper pair in the superconductor, with the reflection of a hole on the normal side. A similar phenomenon…

介观与纳米尺度物理 · 物理学 2026-05-22 K. Iyer , T. Martin , J. Rech , T. Jonckheere

We explore Andreev states at the interface of graphene and a superconductor for a uniform pseudo-magnetic field. Near the zeroth-pseudo Landau level, we find a topological transition as a function of applied Zeeman field, at which a gapless…

超导电性 · 物理学 2021-03-31 Daniel Sabsovich , Marc W. Bockrath , Kirill Shtengel , Eran Sela

We present a theoretical analysis of the proximity effect at a graphene-superconductor interface. We use a tight-binding model for the electronic states in this system which allows to describe the interface at the microscopic level. Two…

介观与纳米尺度物理 · 物理学 2009-11-13 P. Burset , A. L. Yeyati , A. Martín-Rodero

Two dimensional electronic systems under strong magnetic field form quantum Hall (QH) edge states, which propagate along the boundary of a sample with a dissipationless current. Engineering the pathway of these propagating one-dimensional…

介观与纳米尺度物理 · 物理学 2019-04-17 Ke Wang , Achim Harzheim , Ji Ung Lee , Takashi Taniguchi , Kenji Watanabe , Philip Kim

Quantum Hall edge states are the paradigmatic example of the bulk-boundary correspondence. They are prone to intricate reconstructions calling for their detailed investigation at high spatial resolution. Here, we map quantum Hall edge…

介观与纳米尺度物理 · 物理学 2023-04-07 T. Johnsen , C. Schattauer , S. Samaddar , A. Weston , M. Hamer , K. Watanabe , T. Taniguchi , R. Gorbachev , F. Libisch , M. Morgenstern

The recent development of superconducting spintronics has revealed the spin-triplet superconducting proximity effect from a spin-singlet superconductor into a spin-polarized normal metal. In addition recently superconducting junctions using…

In graphene, the approximate SU(4) symmetry associated with the spin and valley degrees of freedom in the quantum Hall (QH) regime is reflected in the 4-fold degeneracy of graphene's Landau levels (LL's). Interactions and the Zeeman effect…

超导电性 · 物理学 2024-09-06 Joseph J. Cuozzo , Enrico Rossi

Parafermionic zero modes are a novel set of excitations displaying non-Abelian statistics somewhat richer than that of Majorana modes. These modes are predicted to occur when nearby fractional quantum Hall edge states are gapped by an…

介观与纳米尺度物理 · 物理学 2017-11-29 Yahya Alavirad , David Clarke , Amit Nag , Jay D. Sau