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We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interaction between two Levitons, single-electron excitations…

In the quantum Hall regime, electronic correlations in double-layer two-dimensional electron systems are strong because the kinetic energy is quenched by Landau quantization. In this article we point out that these correlations are…

Condensed Matter · Physics 2009-10-28 T. Jungwirth , A. H. MacDonald

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

Quantum interference between one- and two-photon absorption pathways allows coherent control of interband transitions in unbiased bulk semiconductors; carrier population, carrier spin polarization, photocurrent injection, and spin current…

Other Condensed Matter · Physics 2007-05-23 R. D. R. Bhat , J. E. Sipe

The edges of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime are divided into alternating metallic and insulating strips, with their widths determined by the energy gaps of the QHE states and the electrostatic…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Keji Lai , Worasom Kundhikanjana , Michael A. Kelly , Zhi-Xun Shen , Javad Shabani , Mansour Shayegan

We study two simple mesoscopic models of interacting two electrons; first one consists of two quantum coherent parallel conductors with long-range Coulomb interaction in some localized region and the other is of an interacting quantum dot…

Quantum Physics · Physics 2015-05-13 Dibyendu Roy

The behavior of electrons in condensed matter systems is mostly determined by the repulsive Coulomb interaction. However, under special circumstances the Coulomb interaction can be effectively attractive, giving rise to electron pairing in…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Giovanni A. Frigeri , Bernd Rosenow

We consider the effect of Coulomb interactions in the propagation of electrons, prepared in arbitrary spin states, on chiral edge channels in the integer quantum Hall regime. Electrons are injected and detected at the same energy at…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 Davide Venturelli , Denis Feinberg

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

We study many-body interaction effects in the spatially-resolved filling factor ($\nu$) distribution for higher Landau levels (LLs) via self-consistent Hartree-Fock simulations in the integer quantum Hall (IQH) regime. Our results indicate…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Josef Oswald , Rudolf A. Römer

The electromagnetic characteristics of double-layer quantum Hall systems are studied, with projection to the lowest Landau level taken into account and intra-Landau-level collective excitations treated in the single-mode approximation. It…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Shizuya

Motivated by a recent tunneling experiment in a double quantum-well system, which reports an anomalously enhanced electronic scattering rate in a clean two-dimensional electron gas, we calculate the inelastic quasiparticle lifetime due to…

Condensed Matter · Physics 2009-10-28 Lian Zheng , S. Das Sarma

A practical method to solve cut-off Coulomb problems of two-cluster systems in the momentum space is given. When a sharply cut-off Coulomb force with a cut-off radius $\rho$ is introduced at the level of constituent particles, two-cluster…

Nuclear Theory · Physics 2012-09-03 Yoshikazu Fujiwara , Kenji Fukukawa

Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We study variable range hopping in the quantum Hall effect regime in the presence of a metallic gate parallel to the plane of a two-dimensional electron gas. Screening of the Coulomb interaction by the gate causes the partial ``filling'' of…

Condensed Matter · Physics 2009-10-22 I. L. Aleiner , B. I. Shklovskii

We consider a bi-layer electronic system at a total Landau level filling factor nu =1, and focus on the transition from the regime of weak inter-layer coupling to that of the strongly coupled (1,1,1) phase (or ''quantum Hall ferromagnet'').…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ady Stern , B. I. Halperin

We investigate the feasibility of extracting infinite volume scattering phase shift on quantum computers in a simple one-dimensional quantum mechanical model, using the formalism established in Ref.~\cite{Guo:2023ecc} that relates the…

Quantum Physics · Physics 2026-03-09 Peng Guo , Paul LeVan , Frank X. Lee , Yong Zhao

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 present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a…

Nuclear Theory · Physics 2021-06-23 Peng Guo

The formalism developed in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral is further…

High Energy Physics - Lattice · Physics 2025-07-04 Peng Guo , Frank X. Lee