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Two kinds of topological excitations, vortices and skyrmions, are studied in the frame of Ginzburg-Landau theory. We obtain the rigorous relation between the topological excitation and the order parameters in the fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Yi-shi Duan , Peng-ming Zhang , Hong Zhang

The tunneling conductance between two parallel 2D electron systems has been measured in a regime of strong interlayer Coulomb correlations. At total Landau level filling $\nu_T=1$ the tunnel spectrum changes qualitatively when the boundary…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Intersubband absorption in modulation-doped quantum wells is usually appropriately described as a collective excitation of the confined two-dimensional electron gas. At sufficiently low electron density and low temperatures, however, the…

Condensed Matter · Physics 2009-11-07 Stefano Luin , Vittorio Pellegrini , Fabio Beltram , Xavier Marcadet , Carlo Sirtori

There is considerable experimental evidence for the existence in Quantum Hall systems of an approximate emergent discrete symmetry, $\Gamma_0(2) \subset SL(2,Z)$. The evidence consists of the robustness of the tests of a suite a predictions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Burgess , B. P. Dolan

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

Breakdown of the quantum Hall effect (QHE) is commonly associated with an electric field approaching the inter Landau-level (LL) Zener field, ratio of the Landau gap and cyclotron radius. Eluded in semiconducting heterostructures, in spite…

We investigate the collective magnetoplasmon excitations in a quantum dot containing finite number of electrons in the high magnetic field limit. We consider the electrons in the lowest Landau level and neglect mixing between the higher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Subhasis Sinha

A variety of recent experiments probing the low-temperature transport properties of quantum Hall systems have suggested an interpretation in terms of liquid crystalline mesophases dubbed {\em quantum Hall liquid crystals}. The single mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cintia M. Lapilli , Carlos Wexler

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

Soft Condensed Matter · Physics 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

Recent magnetotransport experiments on high mobility two-dimensional electron systems have revealed many-body electron states unique to high Landau levels. Among these are re-entrant integer quantum Hall states which undergo sharp…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

The Laughlin state embodies a universal class of fractional quantum Hall effects arising in two-dimensional electron systems subjected to strong perpendicular magnetic fields. Conventionally described by a single-component wavefunction, the…

Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. B. Hanna , A. H. MacDonald , S. M. Girvin

We report results of a study of (integer) quantum Hall transitions in a single or multiple Landau levels for non-interacting electrons in disordered two-dimensional systems, obtained by projecting a tight-binding Hamiltonian to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. N. Bhatt , Xin Wan

We present a new theoretical approach for the integer quantum Hall effect, which is able to describe the inter-plateau transitions as well as the transition to the Hall insulator. We find two regimes (metallic and insulator like) of the top…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Oswald , G. Span , F. Kuchar

We study effects of tilted magnetic fields on energy levels in a double-quantum-well (DQW) system, focusing on the coupling of subbands and Landau levels (LLs). The subband-LL coupling induces anticrossings between LLs, manifested directly…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. Kumada , K. Iwata , K. Tagashira , Y. Shimoda , K. Muraki , Y. Hirayama , A. Sawada

Spectroscopy of discrete Landau levels (LLs) in bulk-insulating three-dimensional topological insulators (3D TIs) in perpendicular magnetic field characterizes the Dirac nature of their surface states. Despite a number of studies…

Mesoscale and Nanoscale Physics · Physics 2020-04-13 Su Kong Chong , Ryuichi Tsuchikawa , Jared Harmer , Taylor D. Sparks , Vikram V. Deshpande

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

We present a microscopic theory for the recently observed reentrant integral quantum Hall effect in the n=1 and n=2 Landau levels. Our energy investigations indicate an alternating sequence of M-electron-bubble and quantum-liquid ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

We build the constraint that all electrons are in the lowest Landau level into the Chern-Simons field theory approach for the fractional quantum Hall system. We show that the constraint can be transmitted from one hierarchical state to the…

Condensed Matter · Physics 2009-10-22 Zhong-Shui Ma , Zhao-Bin Su
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