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We consider a system of a incompressible quantum Hall liquid in close proximity to a parabolic quantum dot containing a few electrons. We observe a significant influence of the interacting electrons in the dot on the excitation spectrum of…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. M. Apalkov , Tapash Chakraborty

By means of degenerate four-wave mixing (FWM), we investigate the quantum coherence of electron-hole pairs in the presence of a two-dimensional electron gas in modulation-doped GaAs-AlGaAs quantum wells in the quantum Hall effect regime.…

Under quite plausible assumptions on double-layer quantum Hall states with strong interlayer correlation, we show in general framwork that coherent tunneling of a single electron between two layers is possible. It yields Josephson effects…

Condensed Matter · Physics 2015-06-25 Aiichi Iwazaki

We study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge…

Strongly Correlated Electrons · Physics 2017-04-27 Hiroki Isobe , Liang Fu

Solving the quantum-mechanical many-body problem requires scalable computational approaches, which are rooted in a good understanding of the physics of correlated electronic systems. Interacting electrons in a magnetic field display a huge…

Mesoscale and Nanoscale Physics · Physics 2013-07-01 Tobias Kramer

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Angela Kou , Benjamin E. Feldman , Andrei J. Levin , Bertrand I. Halperin , Kenji Watanabe , Takashi Taniguchi , Amir Yacoby

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is given by the filling fraction of Landau levels averaged over…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 Xi Wu , M. A. Zubkov

We report the observation of an unpredicted behavior of interfering 2D electrons in the integer quantum Hall effect (IQHE) regime via a utilization of an electronic analog of the well-known Mach-Zehnder interferometer (MZI). The beauty of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , M. Heiblum , Y. Levinson , D. Mahalu , V. Umansky

Enhancement of the electron spin polarization in a correlated two-layer two-dimensional electron system at a total Landau level filling factor of one is reported. Using resistively detected nuclear magnetic resonance, we demonstrate that…

Strongly Correlated Electrons · Physics 2015-04-30 L. Tiemann , W. Wegscheider , M. Hauser

The fractional quantum Hall (FQH) effect is a canonical example of electron-electron interactions producing new ground states in many-body systems. Most FQH studies have focused on the lowest Landau level (LL), whose fractional states are…

In this work we studied the properties of a two-dimensional electronic gas subjected to a strong magnetic field and cooled at a low temperature. We reported exact analytical results of energies at the ground state. The results are for…

Strongly Correlated Electrons · Physics 2019-06-28 M. A. Ammar

The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization.…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Vo Tien Phong , Niels R. Walet , Francisco Guinea

In this work, we address the recent experiment [S. Tewari et al., arXiv:1503.05057v1], where the suppression of phase coherence of a single-electron wave packet created at the edge of a quantum Hall (QH) system at filling factor 2 has been…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Artur O. Slobodeniuk , Edvin G. Idrisov , Eugene V. Sukhorukov

Experiments reveal that a confined electron system with two equally-populated layers at zero magnetic field can spontaneously break this symmetry through an interlayer charge transfer near the magnetic quantum limit. New fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. C. Manoharan , Y. W. Suen , T. S. Lay , M. B. Santos , M. Shayegan

We investigate two equivalent capacitively and tunnel coupled quantum dots, each coupled to its own pair of leads. Local Holstein type electron-phonon coupling at the dots is assumed. To study many-body effects we use the finite-U…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 D. Krychowski , S. Lipiński

Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling factor range in the second Landau level where the states significantly differ from those in the lowest…

Mesoscale and Nanoscale Physics · Physics 2010-06-24 Csaba Toke , Michael R. Peterson , Gun Sang Jeon , Jainendra K. Jain

We study the ground-state properties of a double layer graphene system with the Coulomb interlayer electron-electron interaction modeled within the random phase approximation. We first obtain an expression of the quantum capacitance of a…

Materials Science · Physics 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

The so called quantum spin Hall phase is a topologically non trivial insulating phase that is predicted to appear in graphene and graphene-like systems. In this work we address the question of whether this topological property persists in…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 N. A. Garcia-Martinez , J. L. Lado , J. Fernandez-Rossier

The exchange coupling underlies ferroic magnetic coupling and is thus the key element that governs statics and dynamics of magnetic systems. This fundamental interaction comes in two flavors - symmetric and antisymmetric coupling. While…

We study the effect of electron-electron interaction on the charge and spin structures at the edge of integer quantum Hall liquids, under three different kinds of confining potentials. Our exact diagonalization calculation for small systems…

Strongly Correlated Electrons · Physics 2015-06-12 Yuhui Zhang , Kun Yang