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During the reconstruction of the edge of a quantum Hall liquid, Coulomb interaction energy is lowered through the change in the structure of the edge. We use theory developed earlier by one of the authors [K. Yang, Phys. Rev. Lett. 91,…

介观与纳米尺度物理 · 物理学 2009-11-10 A. Melikidze , Kun Yang

We consider the low-energy, long-wave-length excitations of a reconstructed quantum-Hall edge where three branches of chiral one-dimensional edge excitations exist. We find that, in addition to forward scattering between the three…

介观与纳米尺度物理 · 物理学 2009-10-31 U. Zuelicke

We study the decoherence and relaxation of a single elementary electronic excitation propagating in a one-dimensional chiral conductor. Using two-particle interferences in the electronic analog of the Hong-Ou-Mandel experiment, we analyze…

During the reconstruction of the edge of a quantum Hall liquid, Coulomb interaction energy is lowered through the change in the structure of the edge. We use theory developed earlier by one of the authors [K. Yang, Phys. Rev. Lett. 91,…

介观与纳米尺度物理 · 物理学 2016-08-31 Akakii Melikidze , Kun Yang

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

The work is motivated by the puzzling results of the recent experiment [S. Tewari et al., Phys. Rev. B 93, 035420 (2016)], where a robust coherence recovery from a certain energy was detected for an electron injected into the quantum Hall…

介观与纳米尺度物理 · 物理学 2018-03-21 Anna S. Goremykina , Eugene V. Sukhorukov

The interplay between the confinement potential and electron-electron interactions causes reconstructions of Quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer…

介观与纳米尺度物理 · 物理学 2015-06-05 Torsten Karzig , Alex Levchenko , Leonid I. Glazman , Felix von Oppen

In this work we address the recent experiment of Altimiras and collaborators, where an electron distribution function at the quantum Hall (QH) edge at filling factor 2 has been measured with high precision. It has been reported that the…

介观与纳米尺度物理 · 物理学 2015-06-03 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

强关联电子 · 物理学 2011-09-23 D. L. Kovrizhin , J. T. Chalker

A unified approach to decoherence and relaxation of energy resolved single electron excitations in Integer Quantum Hall edge channels is presented. Within the bosonization framework, relaxation and decoherence induced by interactions and…

介观与纳米尺度物理 · 物理学 2009-12-15 Pascal Degiovanni , Charles Grenier , Gwendal Fève

The chiral edge channels in the quantum Hall regime are considered ideal ballistic quantum channels, and have quantum information processing potentialities. Here, we demonstrate experimentally, at filling factor 2, the efficient tuning of…

介观与纳米尺度物理 · 物理学 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite…

凝聚态物理 · 物理学 2007-05-23 A. H. MacDonald

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

介观与纳米尺度物理 · 物理学 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

We study the transition between sharp and smooth density distributions at the edges of Quantum Hall Liquids in the presence of interactions. We find that, for strong confining potentials, the edge of a $\nu=1$ liquid is described by the…

凝聚态物理 · 物理学 2009-10-22 C. de C. Chamon , X. G. Wen

We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor $\nu=2$. Due to electron-electron interactions,…

介观与纳米尺度物理 · 物理学 2018-07-23 Matteo Acciai , Matteo Carrega , Jérôme Rech , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

Although interesting per se, decoherence and relaxation of single-electron excitations induced by strong effective screened Coulomb interactions in Quantum Hall edge channels are an important challenge for the applications of electron…

介观与纳米尺度物理 · 物理学 2018-10-10 C. Cabart , B. Roussel , G. Fève , P. Degiovanni

The low energy physics of the fractional Hall liquid is described in terms quasiparticles that are qualitatively distinct from electrons. We show, however, that a long-lived electron-like quasiparticle also exists in the excitation…

介观与纳米尺度物理 · 物理学 2009-11-10 Jainendra K. Jain , Michael R. Peterson

The effective field theory of the fractional quantum Hall edge is reformulated from microscopic dynamics. Noncommutative Chern-Simons theory is a microscopic description for the quantum Hall fluid. We use it for reference. Considering…

高能物理 - 理论 · 物理学 2009-06-24 Wei Huang , Zhao-Long Wang , Mu-Lin Yan

We report a theoretical study of the linear and nonlinear dynamics of edge excitations of an integer quantum Hall state of non-interacting fermions. New features beyond the chiral Luttinger liquid picture are anticipated to arise from the…

量子气体 · 物理学 2023-06-06 Alberto Nardin , Iacopo Carusotto

We report numerical studies of the linear and nonlinear edge dynamics of a non-harmonically confined macroscopic fractional quantum Hall fluid. In the long-wavelength and weak excitation limit, observable consequences of the fractional…

介观与纳米尺度物理 · 物理学 2025-12-03 Alberto Nardin , Iacopo Carusotto
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