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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…

Mesoscale and Nanoscale Physics · Physics 2021-05-20 Masayuki Hashisaka , Thibaut Jonckheere , Takafumi Akiho , Satoshi Sasaki , Jerome Rech , Thierry Martin , Koji Muraki

Topological aspects of superconductivity in quantum spin-Hall systems (QSHSs) such as thin layers of three-dimensional topological insulators (3D Tis) or two-dimensional Tis are in the focus of current research. We examine hybrid…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 R. W. Reinthaler , G. Tkachov , E. M. Hankiewicz

The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Guohong Li , Adina Luican , Dmitry Abanin , Leonid Levitov , Eva Y. Andrei

We consider a system of weakly coupled wires with quantum Hall effect (QHE) and in the presence of a spatially periodic modulation of the chemical potential along the wire, equivalent to a charge density wave (CDW). We investigate the…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Paweł Szumniak , Jelena Klinovaja , Daniel Loss

Recently we have proposed an unusual mechanism of superconducting current that is specific for Quantum Hall Edge channels connected to superconducting electrodes. We have shown that the supercurrent can be mediated by a nonlocal…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Xiao-Li Huang , Yuli V. Nazarov

Heterostructures formed by quantum Hall systems and superconductors have recently been shown to support widely coveted Majorana fermion zero-modes and still more exotic `parafermionic' generalizations. Here we establish that probing such…

Strongly Correlated Electrons · Physics 2014-11-11 David J. Clarke , Jason Alicea , Kirill Shtengel

Recent experiments have shown that the edge states of a quantum Hall sample can be coupled to a superconductor, so that incoming electrons in the edge states can be Andreev converted by the superconductor as coherent superpositions of an…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Benjamin Roussel , Pablo Burset , Christian Flindt

We study coherent transport and bound-state formation of Bogoliubov quasiparticles in a high-mobility In$_{0.75}%$Ga$_{0.25}$As two-dimensional electron gas (2DEG) coupled to a superconducting Nb electrode by means of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Hiroshi Irie , Clemens Todt , Norio Kumada , Yuichi Harada , Hiroki Sugiyama , Tatsushi Akazaki , Koji Muraki

Quantum anomalous Hall insulator (QAH)/$s$-wave superconductor (SC) hybrid systems are known to be an ideal platform for realizing two-dimensional topological superconductors with chiral Majorana edge modes. In this paper we study…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Ryoi Ohashi , Shingo Kobayashi , Yukio Tanaka

The fractional quantum Hall effect (FQHE) is a canonical example of a topological phase in a correlated 2D electron gas under strong magnetic field. While electric currents propagate as chiral downstream edge modes, chargeless upstream…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We study clean, edge-contacted graphene/superconductor interfaces in both the quantum Hall (QH) and zero field regimes. We find that Andreev reflection is substantially stronger than at an interface with a semiconductor two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-06-30 Alexey Bondarev , Gu Zhang , Harold U. Baranger

We investigate the superconducting proximity effect through graphene in the long diffusive junction limit, at low and high magnetic field. The interface quality and sample phase coherence lead to a zero resistance state at low temperature,…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Katsuyoshi Komatsu , Chuan Li , S. Autier-Laurent , H. Bouchiat , S. Gueron

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

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…

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

Chiral topological superconductors are expected to appear as intermediate states when a quantum anomalous Hall system is proximity coupled to an s-wave superconductor and the magnetization direction is reversed. In this paper we address the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Gaurav Chaudhary , Allan H. MacDonald

We demonstrate the emergence of novel topological phases in quantum Hall-superconductor hybrid systems driven by Landau level mixing and spin-orbit interactions. Focusing on a narrow superconducting stripe atop a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2025-07-21 Yuriko Baba , Alfredo Levy Yeyati , Pablo Burset

Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect,…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Ryota Nakai , Koji Kudo , Hiroki Isobe , Kentaro Nomura

Ge/SiGe quantum well heterostructures confining a high-mobility two-dimensional hole gas (2DHG) have emerged as a compelling platform for hybrid superconductor(S)-semiconductor(Sm) quantum devices. Here, we investigate the low-temperature…

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…