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Materials hosting topologically protected non-Abelian zero modes offer the exciting possibility of storing and manipulating quantum information in a manner that is protected from decoherence at the hardware level. In this work, we study the…

Strongly Correlated Electrons · Physics 2023-04-12 Kartiek Agarwal

Recent experiments have demonstrated the possibility of inducing superconducting pairing into counterpropagating fractional quantum Hall edge modes. This paves the way for the realization of localized parafermionic modes, non-Abelian anyons…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 Ida E. Nielsen , Karsten Flensberg , Reinhold Egger , Michele Burrello

Parafermion zero modes can arise in hybrid structures composed of $\nu=1/m$ fractional quantum Hall edges proximitized with an s-wave superconductor. Here we consider parafermion and Cooper pair tunneling, and backscattering in a junction…

Strongly Correlated Electrons · Physics 2024-04-09 Junyi Cao , Angela Kou , Eduardo Fradkin

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

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…

Electronic transport through nanostructures is greatly affected by the presence of superconducting leads. If the interface between the nanostructure and the superconductors is sufficiently transparent, a dissipationless current…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pablo Jarillo-Herrero , Jorden A. van Dam , Leo P. Kouwenhoven

High-temperature superconductivity emerges in a host of different quantum materials, often in a region of the phase diagram where the electronic kinetic energy is comparable in magnitude with the electron-electron Coulomb repulsion.…

Strongly Correlated Electrons · Physics 2020-12-14 Morten H. Christensen , Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it…

Quantum Physics · Physics 2022-07-12 C. A. Downing , A. J. Toghill

Bilayer graphene encapsulated in tungsten diselenide can host a weak topological phase with pairs of helical edge states. The electrical tunability of this phase makes it an ideal platform to investigate unique topological effects at zero…

There is growing evidence that the unconventional spatial inhomogeneities in the doped high-Tc superconductors are accompanied by the pairing of electrons, subsequent quantum phase transitions (QPTs), and condensation in coherent states. We…

Strongly Correlated Electrons · Physics 2012-11-12 Kun Fang , G. W. Fernando , A. V. Balatsky , A. N. Kocharian , Kalum Palandage

With the introduction of superconducting circuits into the field of quantum optics, many novel experimental demonstrations of the quantum physics of an artificial atom coupled to a single-mode light field have been realized. Engineering…

Quantum Physics · Physics 2017-10-27 Sal J. Bosman , Mario F. Gely , Vibhor Singh , Alessandro Bruno , Daniel Bothner , Gary A. Steele

We study the tunneling current between edge states of quantum Hall liquids across a single long contact region, and predict a resonance at a bias voltage set by the scale of the edge velocity. For typical devices and edge velocities…

Mesoscale and Nanoscale Physics · Physics 2009-07-30 B. J. Overbosch , Claudio Chamon

There has been a growing interest in hybrid quantum Hall (QH) superconductor devices, driven by the prospect to realize exotic ground states and excitations with non-abelian exchange statistics. While the existing experiments clearly…

The discovery of the fractional quantum Hall effect in GaAs-based semiconductor devices has lead to new advances in condensed matter physics, in particular the possibility for exotic, topological phases of matter that possess fractional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Z. Papic , D. A. Abanin , Y. Barlas , R. N. Bhatt

We perform a simplified analysis of the edge excitations of the canted antiferromagnetic (CAF) phase of the $\nu=0$ quantum Hall state in both monolayer and bilayer graphene. Namely, we calculate, within the framework of quantum Hall…

Strongly Correlated Electrons · Physics 2012-08-29 Maxim Kharitonov

We propose a novel realization for a topologically superconducting phase hosting Majorana zero-modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 C. Fleckenstein , N. Traverso Ziani , A. Calzona , M. Sassetti , B. Trauzettel

It has recently been realized that zero modes with projective non-Abelian statistics, generalizing the notion of Majorana bound states, may exist at the interface between a superconductor and a ferromagnet along the edge of a fractional…

Strongly Correlated Electrons · Physics 2013-05-30 Michele Burrello , Bernard van Heck , Emilio Cobanera

Nowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact, we investigate the fundamental properties of an ultracold…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 N. Goldman , A. Kubasiak , P. Gaspard , M. Lewenstein

We study spinless electrons in a single channel quantum wire interacting through attractive interaction, and the quantum Hall states that may be constructed by an array of such wires. For a single wire the electrons may form two phases, the…

Strongly Correlated Electrons · Physics 2017-07-26 Charles L. Kane , Ady Stern , Bertrand I. Halperin
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