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High-frequency transport in the edge states of the quantum spin Hall (QSH) effect has to date rarely been explored, though it could cast light on the scattering mechanisms taking place therein. We here report on the measurement of the…

The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current…

Charge equilibration between quantum-Hall edge states can be studied to reveal geometric structure of edge channels not only in the integer quantum Hall (IQH) regime but also in the fractional quantum Hall (FQH) regime particularly for…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chaojing Lin , Ryota Eguchi , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

A quantum anomalous Hall (QAH) insulator breaks reciprocity by combining magnetic polarization and spin-orbit coupling to generate a unidirectional transmission of signals in the absence of an external magnetic field. Such behavior makes…

Unique properties of plasmons in two-dimensional electron systems (2DESs) have been studied for many years. Existing theoretical approaches allow for analytical study of the properties of ungated and gated plasmons in two fundamental, ideal…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 A. A. Zabolotnykh , V. A. Volkov

Research focused on heat transport in the quantum Hall (QH) edge channel has successfully addressed fundamental theoretical questions surrounding the QH physics. However, the picture of the edge channel is complicated by the phenomenon of…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 J. N. Moore , A. Kamiyama , T. Mano , G. Yusa

Spatial separation of electrons and holes in graphene gives rise to existence of plasmon waves confined to the boundary region. Theory of such guided plasmon modes within hydrodynamics of electron-hole liquid is developed. For plasmon…

Mesoscale and Nanoscale Physics · Physics 2010-04-19 E. G. Mishchenko , A. V. Shytov , P. G. Silvestrov

Cavity quantum electrodynamics (cQED) provides strong light-matter interactions that can be used for manipulating and detecting quantum states. The interaction can be enhanced by increasing the resonator's impedance, while approaching the…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Chaojing Lin , Kosei Teshima , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

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

The collective plasmonic modes of a metal comprise a pattern of charge density and tightly-bound electric fields that oscillate in lock-step to yield enhanced light-matter interaction. Here we show that metals with non-zero Hall…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Li-kun Shi , Justin C. W. Song

We investigate transport in a gate-defined graphene quantum point contact in the quantum Hall regime. Edge states confined to the interface of p and n regions in the graphene sheet are controllably brought together from opposite sides of…

Mesoscale and Nanoscale Physics · Physics 2011-07-15 S. Nakaharai , J. R. Williams , C. M. Marcus

Band structures of electrons in a periodic potential are well-known to host topologies that impact their behaviors at edges and interfaces. The concept however is more general than the single-electron setting. In this work, we consider…

Mesoscale and Nanoscale Physics · Physics 2024-10-16 Luis Brey , H. A. Fertig

The frictionless, directional propagation of particles at the boundary of topological materials is one of the most striking phenomena in transport. These chiral edge modes lie at the heart of the integer and fractional quantum Hall effects,…

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Toshimasa Fujisawa , Chaojing Lin

The quantum anomalous Hall (QAH) effect, with its single chiral, topologically protected edge state, offers a platform for flying Majorana states as well as non-reciprocal microwave devices. While recent research showed the non-reciprocity…

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre

We discuss the propagation and fractionalization of localized charges on the edges of quantum Hall bars of variable widths, where interactions between the edges give rise to Luttinger liquid behavior with a non-trivial interaction parameter…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Mats Horsdal , Marianne Rypestøl , Hans Hansson , Jon Magne Leinaas

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

We study the effects of impurity scattering on the low energy edge state dynamic s for a broad class of quantum Hall fluids at filling factor $\nu =n/(np+1)$, for integer $n$ and even integer $p$. When $p$ is positive all $n$ of the edge…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

Strongly Correlated Electrons · Physics 2013-04-19 Hsin-Hua Lai , Kun Yang
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