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A new model of momentum and electric field transfer between two adjacent 2D electron systems in the Quantum Hall Effect is proposed. The drag effect is due to momentum transfer from the vortex system of one layer to the vortex system of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. A. Vitkalov

A profound manifestation of topologically non-trivial states of matter is the occurrence of fractionally charged elementary excitations. The quantum spin Hall insulator state is a fundamentally novel quantum state of matter that exists at…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g., irrational braiding. These phases…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct…

Strongly Correlated Electrons · Physics 2017-10-25 Zheng Zhu , Liang Fu , D. N. Sheng

When a strong magnetic field is applied perpendicularly (along z) to a sheet confining electrons to two dimensions (x-y), highly correlated states emerge as a result of the interplay between electron-electron interactions, confinement and…

Mesoscale and Nanoscale Physics · Physics 2009-04-27 B. A. Piot , Z. Jiang , C. R. Dean , L. W. Engel , G. Gervais , L. N. Pfeiffer , K. W. West

We experimentally study equilibration across the sample edge at high fractional filling factors 4/3, 5/3 under experimental conditions, which allow us to obtain high imbalance conditions. We find a lack of the full equilibration across the…

Mesoscale and Nanoscale Physics · Physics 2007-11-09 E. V. Deviatov , A. Lorke , W. Wegscheider

We extend the Composite Boson theory to study slightly im-balanced bi-layer Quantum Hall systems. In the global $ U(1) $ symmetry breaking excitonic superfluid side, as the imbalance increases, the system supports continuously changing…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jinwu Ye

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

In the strong magnetic field fractional quantum Hall regime, electrons in a two-dimensional electron system are confined to their lowest Landau level. Because of the macroscopic Landau level degeneracy nearly all physical properties at low…

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

We demonstrate that the two-dimensonal electron system in a strong perpendicular magnetic field has stable states which break rotational but not translational symmetry. The Laughlin fluid becomes unstable to these states in quantum wells…

Condensed Matter · Physics 2009-10-28 K. Musaelian , Robert Joynt

In this paper, we develop a unified theory for describing Hall effect in various electronic systems based on a pure electron picture (without the hole concept). We argue that the Hall effect is the magnetic field induced symmetry breaking…

Strongly Correlated Electrons · Physics 2009-01-26 X. Q. Huang

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Peizhi Mai , Jinchao Zhao , Benjamin E. Feldman , Philip W. Phillips

The intrinsic geometric degree of freedom that was proposed to determine the optimal correlation energy of the fractional quantum Hall states, is analyzed for quantum confined planar electron systems. One major advantage in this case is…

Mesoscale and Nanoscale Physics · Physics 2014-03-27 Areg Ghazaryan , Tapash Chakraborty

At total Landau level filling factor $\nu_{tot}=1$ a double layer two-dimensional electron system with small interlayer separation supports a collective state possessing spontaneous interlayer phase coherence. This state exhibits the…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

In condensed matter physics, the study of electronic states with SU(N) symmetry has attracted considerable and growing attention in recent years, as systems with such a symmetry can often have a spontaneous symmetry-breaking effect giving…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. P. Guo , Y. J. Zhao , T. Tu , X. J. Hao , X. C. Zhang , G. C. Guo , H. W. Jiang

Graphene and its multilayers have attracted considerable interest owing to the fourfold spin and valley degeneracy of their charge carriers, which enables the formation of a rich variety of broken-symmetry states and raises the prospect of…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 Benjamin E. Feldman , Andrei J. Levin , Benjamin Krauss , Dmitry Abanin , Bertrand. I. Halperin , Jurgen H. Smet , Amir Yacoby

We report on a theoretical study of the transport properties of two coupled two-dimensional electron systems subject to in-plane magnetic fields. The charge redistribution in double wells induced by the Lorenz force in crossed electric and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Kolorenc , L. Smrcka , P. Streda

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari