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The electronic Hong-Ou-Mandel interferometer in the integer quantum Hall regime is an ideal system to probe the building up of quantum correlations between charge carriers and it has been proposed as a viable platform for quantum computing…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 Laura Bellentani , Paolo Bordone , Xavier Oriols , Andrea Bertoni

We study the effect of interlayer Coulomb interaction in an electronic double layer. Assuming that each of the layers consists of a bipartite lattice, a sufficiently strong interlayer interaction leads to an interlayer pairing of electrons…

Superconductivity · Physics 2020-07-22 Andreas Sinner , Yurii E. Lozovik , Klaus Ziegler

Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. -M. Ho

Recent experimental progress in development of on-demand sources of electrons propagating along depleted quantum Hall edge channels has enabled creation and characterization of sufficiently compact single- and two-electron distributions…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 P. G. Silvestrov , Vyacheslavs Kashcheyevs , Patrik Recher

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hiroshi Akera

Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 S. Becker , C. Karrasch , T. Mashoff , M. Pratzer , M. Liebmann , V. Meden , M. Morgenstern

We observe nearly vanishing Hall resistances for integer filling factors in a counterflow (CF) experiment on a density balanced 2D bilayer system. Filling factor dependent equilibration lengths demonstrate enhanced 1D coupling via…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 C. Marty , C. Reichl , S. Parolo , I. Grandt-Ionita , J. Scharnetzky , W. Dietsche , W. Wegscheider

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

We analyze the effect that the Coulomb interaction has on the edge excitations of an electron gas confined in a bar of thickness $W$, and in presence of a magnetic field corresponding to filling factor 1 Quantum Hall effect. We find that…

Condensed Matter · Physics 2009-10-28 M. Franco , L. Brey

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Zi-Xiang Hu , Hua Chen , Kun Yang , E. H. Rezayi , Xin Wan

We calculate the Coulomb scattering amplitude for two electrons injected with opposite momenta in an interacting 2DEG. We include the effect of the Fermi liquid background by solving the 2D Bethe-Salpeter equation for the two-particle Green…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Saraga , B. L. Altshuler , Daniel Loss , R. M. Westervelt

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Coulomb effects on the edge states of a two dimensional electron gas in the presence of a high magnetic field are studied for different widths of the boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in the integer…

Condensed Matter · Physics 2009-10-22 L. Brey , J. J. Palacios , C. Tejedor

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…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

Disorder-induced localization of electrons and electron-electron interaction are among the most fundamental problems in condensed matter physics. In two-dimensional electron systems, extensive studies have led to the emergence of a scaling…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 C. T. Tai , P. T. Madathil , A. Gupta , L. N. Pfeiffer , K. W. Baldwin , M. Shayegan

Young's classic double-slit experiment demonstrates the reality of interference when waves and particles travel simultaneously along two different spatial paths. Here, we propose a double-slit experiment in momentum space, realized in the…

Quantum Physics · Physics 2018-01-18 I. P. Ivanov , D. Seipt , A. Surzhykov , S. Fritzsche

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…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

Tunneling and Coulomb drag are sensitive probes of spontaneous interlayer phase coherence in bilayer two-dimensional electron systems at total Landau level filling factor $\nu_T = 1$. We find that the phase boundary between the interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. B. Spielman , M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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
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