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Related papers: Edge modes in chiral electron double layers

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We present a combined classical and quantum electrodynamics description of the coupling between two circularly-polarized quantum emitters held above a metal surface supporting surface plasmons. Depending on their position and their natural…

Mesoscale and Nanoscale Physics · Physics 2019-02-11 C. A. Downing , J. C. López Carreño , F. P. Laussy , E. del Valle , A. I. Fernández-Domínguez

The wave propagation of edge modes in a superlattice of 2D electron Gases in quantum Hall regime is investigated. After introducing surfaces charge and current densities at the edge, the Maxwell equations are solved for waves running along…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pavel Fileviez Perez , Alejandro Cabo Montes de Oca , Carlos Rodriguez Castellanos

We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain gluing function defining the occupied state bundle over the…

Strongly Correlated Electrons · Physics 2015-03-17 Lukasz Fidkowski , T. S. Jackson , Israel Klich

Immersing a mobile impurity in a quantum many-body environment can reveal fundamental properties of the background medium, hence providing a powerful probe of quantum matter. This approach is particularly intriguing when considering media…

Recent schemes for experimentally probing non-abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Rosenow , B. I. Halperin , S. H. Simon , Ady Stern

A hallmark feature of topological physics is the presence of one-way propagating chiral modes at the system boundary. The chirality of edge modes is a consequence of the topological character of the bulk. For example, in a non-interacting…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Sunil Mittal , Sriram Ganeshan , Jingyun Fan , Abolhassan Vaezi , Mohammad Hafezi

Chiral edge states are the fingerprint of the bulk-edge correspondence in a Chern insulator. Co-propagating edge modes, known as antichiral edge states, have been predicted to occur in the so-called modified Haldane model describing a…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Marwa Mannaï , Eduardo V. Castro , Sonia Haddad

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a…

High Energy Physics - Theory · Physics 2009-10-30 Rashmi Ray , Joan Soto

Ultracold quasineutral plasmas generated in the laboratory are generically inhomogeneous and ex- hibit small charge imbalances. As will be demonstrated, via a hydrodynamic theory as well as microscopic simulations, the latter lead to…

Plasma Physics · Physics 2010-12-13 Andrei Lyubonko , Thomas Pohl , Jan-Michael Rost

We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy provides richer information than the bulk degeneracy.…

Strongly Correlated Electrons · Physics 2020-01-08 Juven Wang , Xiao-Gang Wen

We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states in the space of system parameters and energy,…

Disordered Systems and Neural Networks · Physics 2021-02-10 Alexander Duthie , Sthitadhi Roy , David E. Logan

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

We study the edge states for a quantum anomalous Hall system (QAHS) coupled with a spin-singlet s-wave superconductor through the proximity effect, and clarify the topological nature of them. When we consider a superconducting pair…

Superconductivity · Physics 2011-05-10 Akihiro Ii , Keiji Yada , Masatoshi Sato , Yukio Tanaka

We investigate the dynamics of quasiparticle agglomerates in edge states of the Jain sequence for \nu=2/5. Comparison of the Fradkin-Lopez model with the Wen one is presented within a field theoretical construction, focusing on similarities…

Mesoscale and Nanoscale Physics · Physics 2010-01-19 Dario Ferraro , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti

Transfer matrix methods and intersection theory are used to calculate the bands of edge states for a wide class of periodic two-dimensional tight-binding models including a sublattice and spin degree of freedom. This allows to define…

Mathematical Physics · Physics 2016-10-28 Julio Cesar Avila , Hermann Schulz-Baldes , Carlos Villegas-Blas

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , A. H. MacDonald , M. D. Johnson

Electronic interferometers in the quantum Hall regime are one of the best tools to study the statistical properties of localized quasiparticles in the topologically protected bulk. However, since their behavior is probed via chiral edge…

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of…

We study the mobility edges in a variety of one-dimensional tight binding models with slowly varying quasi-periodic disorders. It is found that the quasi-periodic disordered models can be approximated by an ensemble of periodic models. The…

Disordered Systems and Neural Networks · Physics 2021-07-19 Qiyun Tang , Yan He
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