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The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

Quantum Hall physics is at the heart of research on both matter and artificial systems, such as cold atomic gases, with non-trivial topological order. We report on the observation of a chiral edge current by transferring atomic wavepackets…

Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The recent observation of phase jumps in a Fabry-P\'erot (FP) interferometer…

We present a device architecture of hybrid-edge and dual-gated quantum point contact. We demonstrate improved electrostatic control over the separation, position, and coupling of each broken-symmetry compressible strip in graphene. Via…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Wei Ren , Xi Zhang , Jaden Ma , Xihe Han , Kenji Watanabe , Takashi Taniguchi , Ke Wang

A strong coupling between the electron spin and its motion is one of the prerequisites of spin-based data storage and electronics. A major obstacle is to find spin-orbit coupled materials where the electron spin can be probed and…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Christoph Kastl , Paul Seifert , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner

Momentum resolved magneto-tunnelling spectroscopy is performed at a single sharp quantum Hall edge. We directly probe the structure of individual integer quantum Hall (QH) edge modes, and find that an epitaxially overgrown cleaved edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Huber , M. Grayson , M. Rother , W. Biberacher , W. Wegscheider , G. Abstreiter

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

We experimentally study electron transport between edge states in the fractional quantum Hall effect regime. We find an anomalous increase of the transport across the 2/3 incompressible fractional stripe in comparison with theoretical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , V. T. Dolgopolov , A. Lorke , W. Wegscheider , A. D. Wieck

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence of edge states, showed ballistic edge…

Quantum energy teleportation (QET) is a proposed protocol related to the quantum vacuum. The edge channels in a quantum Hall system is well suited for the experimental verification of QET. For this purpose, we examine a charge density wave…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Masahiro Matsuura , Takaaki Mano , Takeshi Noda , Naokazu Shibata , Masahiro Hotta , Go Yusa

We analyze the recently observed breakdown of the integer quantum Hall effect in a two-dimensional electron gas embedded in a metallic split-ring resonator. By accounting for both the quantized vacuum field and electrostatic boundary…

Mesoscale and Nanoscale Physics · Physics 2025-11-10 Gian Marcello Andolina , Zeno Bacciconi , Alberto Nardin , Marco Schirò , Peter Rabl , Daniele De Bernardis

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

We report experimental and theoretical studies of edge magnetoplasmon (EMP) transport in quantum Hall (QH) devices. We develop a model that allows us to calculate the transport coefficients of EMPs in QH devices with various geometries. In…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Masayuki Hashisaka , Hiroshi Kamata , Norio Kumada , Kazuhisa Washio , Ryuji Murata , Koji Muraki , Toshimasa Fujisawa

The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 R. H. Rodriguez , F. D. Parmentier , D. Ferraro , P. Roulleau , U. Gennser , A. Cavanna , M. Sassetti , F. Portier , D. Mailly , P. Roche

The electronic distribution functions of two Coulomb coupled chiral edge states forming a quasi-1D system with broken translation invariance are found using the equation of motion approach. We find that relaxation and thereby energy…

Mesoscale and Nanoscale Physics · Physics 2010-01-28 Anders Mathias Lunde , Simon E. Nigg , Markus Buttiker

In recent years, counter-intuitive results have shown that the quantum Hall edge states with topological protection can be dissipative. In this paper, we point out that the non-equilibrium nature of edge states in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Peng-Yi Liu , Qing-Feng Sun

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

We develop the theory of electronic Mach-Zehnder interferometers built from quantum Hall edge states at Landau level filling factor \nu = 2, which have been investigated in a series of recent experiments and theoretical studies. We show…

Strongly Correlated Electrons · Physics 2013-04-11 M. J. Rufino , D. L. Kovrizhin , J. T. Chalker

Many topological phases host gapless boundary modes that can be dramatically modified by electronic interactions. Even for the long-studied edge modes of quantum Hall phases, forming at the boundaries of two-dimensional (2D) electron…

We study the effect of electron-electron interaction on the charge and spin structures at the edge of integer quantum Hall liquids, under three different kinds of confining potentials. Our exact diagonalization calculation for small systems…

Strongly Correlated Electrons · Physics 2015-06-12 Yuhui Zhang , Kun Yang