Electrostatics of edge channels

Chklovskii, Dmitri B.; Shklovskiǐ, B. I.; Glazman, L. I.

doi:10.1103/physrevb.46.4026

Cited by 970 publications

(1,071 citation statements)

References 15 publications

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“…The Coulomb repulsion between electrons would lead in a more realistic scenario to a smoothly varying density decrease towards the edges. This is confirmed by the self-consistent calculations of the electrostatic and chemical potential performed by Chklovskii et al [47,48]. Their findings are shown in Fig.…”

Section: The Interacting Electron Picturesupporting

confidence: 73%

Spin and Charge Ordering in the Quantum Hall Regime

Frieß

2016

Springer Theses

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Section: The Interacting Electron Picturesupporting

confidence: 73%

Spin and Charge Ordering in the Quantum Hall Regime

Frieß

2016

Springer Theses

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“…4 More precisely, the edge channels are regarded as "incompressible strips" owing to the electron screening. [5][6][7] Although the nature of the QHE state is successfully explained by the topological rigidity, details of the state in nonequilibrium are largely unexplored. Recent experiments aimed at quantum information processing by using edge channels, involving phase reversal of electrons in electron interferometers, 8,9 decoherence, 10-15 energy relaxation, [16][17][18] and dynamics of the edge magnetoplasmons in the edge channels, 19,20 have clarified electron behaviors in the nonequilibrium QHE state.…”

Section: Introductionmentioning

confidence: 99%

Observation of finite excess noise in the voltage-biased quantum Hall regime as a precursor for breakdown

et al. 2013

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We performed noise measurements in a two-dimensional electron gas to investigate the nonequilibrium quantum Hall effect (QHE) state. While excess noise is perfectly suppressed around the zero-biased QHE state reflecting the dissipationless electron transport of the QHE state, considerable finite excess noise is observed in the breakdown regime of the QHE. The noise temperature deduced from the excess noise is found to be of the same order as the energy gap between the highest occupied Landau level and the lowest empty one. Moreover, unexpected finite excess noise is observed at a finite source-drain bias voltage smaller than the onset voltage of the QHE breakdown, which indicates finite dissipation in the QHE state and may be related to the prebreakdown of the QHE.

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“…This potential can be strikingly different from the bare electrostatic one due to screening effects, i.e. redistribution of the electron density at the Fermi level, leading to the formation in the sample of alternating compressible and incompressible regions of different widths at high magnetic fields 47,48 . Note that, in principle, it is necessary to include both direct and exchange interactions between electrons in order to microscopically determine the total scalar potential [49][50][51] .…”

Section: Green's Function Formalism For Disordered Quantum Hall Smentioning

confidence: 99%

Spectral properties and local density of states of disordered quantum Hall systems with Rashba spin-orbit coupling

Hernangómez‐Pérez¹,

Ulrich²,

Florens³

et al. 2013

Phys. Rev. B

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We theoretically investigate the spectral properties and the spatial dependence of the local density of states (LDoS) in disordered two-dimensional electron gases (2DEG) in the quantum Hall regime, taking into account the combined presence of electrostatic disorder, random Rashba spin-orbit interaction, and finite Zeeman coupling. To this purpose, we extend a coherent-state Green's function formalism previously proposed for spinless 2DEG in the presence of smooth arbitrary disorder, that here incorporates the nontrivial coupling between the orbital and spin degrees of freedom into the electronic drift states. The formalism allows us to obtain analytical and controlled nonperturbative expressions of the energy spectrum in arbitrary locally flat disorder potentials with both random electric fields and Rashba coupling. As an illustration of this theory, we derive analytical microscopic expressions for the LDoS in different temperature regimes which can be used as a starting point to interpret scanning tunneling spectroscopy data at high magnetic fields. In this context, we study the spatial dependence and linewidth of the LDoS peaks and explain an experimentally-noticed correlation between the spatial dispersion of the spin-orbit splitting and the local extrema of the potential landscape.

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Electrostatics of edge channels

Cited by 970 publications

References 15 publications

Spin and Charge Ordering in the Quantum Hall Regime

Spin and Charge Ordering in the Quantum Hall Regime

Observation of finite excess noise in the voltage-biased quantum Hall regime as a precursor for breakdown

Spectral properties and local density of states of disordered quantum Hall systems with Rashba spin-orbit coupling

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