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Extensive efforts have been undertaken to combine superconductivity and the quantum Hall effect so that Cooper-pair transport between superconducting electrodes in Josephson junctions is mediated by one-dimensional edge states. This…

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

The intense search for topological superconductivity is inspired by the prospect that it hosts Majorana quasiparticles. We explore in this work the optimal design for producing topological superconductivity by combining a quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Gun Sang Jeon , J. K. Jain , C. -X. Liu

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

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…

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…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Rakesh P. Tiwari , U. Zülicke , C. Bruder , Vladimir M. Stojanović

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…

Superconductivity · Physics 2024-09-06 Joseph J. Cuozzo , Enrico Rossi

Inducing superconducting correlations in chiral edge states is predicted to generate topologically protected zero energy modes with exotic quantum statistics. Experimental efforts to date have focused on engineering interfaces between…

We study proximity effect in a tunnel junction between a bulk superconductor and a thin disordered ferromagnetic layer on its surface. Cooper pairs penetrating from the superconductor into the ferromagnet tend to destabilize its uniform…

Disordered Systems and Neural Networks · Physics 2025-12-10 A. V. Levin , P. M. Ostrovsky

We analyze the quantum interference effects appearing in the charge current through the double quantum dots coupled in T-shape configuration to an isotropic superconductor and metallic lead. Owing to proximity effect the quantum dots…

Strongly Correlated Electrons · Physics 2011-11-09 J. Baranski , T. Domanski

In recent years, Majorana physics has attracted considerable attention in both theoretical and experimental studies due to exotic new phenomena and its prospects for fault-tolerant topological quantum computation. To this end, one needs to…

A disparity in the charge of quasi-particle excitations across a tunnel junction can trigger Andreev-like processes, creating an effect similar to that of a step-up transformer. We study such a junction in its strong coupling limit in the…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Sampurna Karmakar , Amulya Ratnakar , Sourin Das

We present a theoretical study of the interplay between topological p-wave superconductivity, orbital magnetic fields and quantum Hall phases in coupled wire systems. First, we calculate the phase diagram and physical observables of a…

Strongly Correlated Electrons · Physics 2020-02-19 Fan Yang , Vivien Perrin , Alexandru Petrescu , Ion Garate , Karyn Le Hur

Using non-equilibrium Green's functions, we studied numerically the transport properties of a Josephson junction, superconductor-topological insulator-superconductor hybrid system. Our numerical calculation shows first that…

Superconductivity · Physics 2016-05-11 Juntao Song , Haiwen Liu , Jie Liu , Yuxian Li , Robert Joynt , Qing-feng Sun , X. C. Xie

Using high quality graphene pnp junctions, we observe prominent conductance fluctuations on transitions between quantum Hall (QH) plateaus as the top gate voltage Vtg is varied. In the Vtg-B plane, the fluctuations form crisscrossing lines…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jairo Velasco , Gang Liu , Lei Jing , Philip Kratz , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea

We present the global topological phase diagram of a two-dimensional electron gas placed in a quantizing magnetic field and proximitized by a superconducting vortex lattice. Our theory allows for arbitrary ratios of the pairing amplitude,…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Daniil S. Antonenko , Liang Fu , Leonid I. Glazman

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…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Antonio L. R. Manesco , Ian Matthias Flór , Chun-Xiao Liu , Anton R. Akhmerov

The coexistence of superconductivity and fractional quantum anomalous Hall (FQAH) effect has recently been observed in twisted MoTe$_2$ and theoretically demonstrated in a model of repulsively interacting electrons under an emergent…

Superconductivity · Physics 2026-02-18 Daniele Guerci , Ahmed Abouelkomsan , Liang Fu

We calculate the conductance of a ballistic point contact to a superconducting wire, produced by the s-wave proximity effect in a semiconductor with spin-orbit coupling in a parallel magnetic field. The conductance G as a function of…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 M. Wimmer , A. R. Akhmerov , J. P. Dahlhaus , C. W. J. Beenakker