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The integer quantum Hall effect is a topological state of quantum matter in two dimensions, and has recently been observed in three-dimensional topological insulator thin films. Here we study the Landau levels and edge states of surface…

介观与纳米尺度物理 · 物理学 2015-09-02 Song-Bo Zhang , Hai-Zhou Lu , Shun-Qing Shen

We study the correlation energy, the effective anisotropy parameter, and quantum fluctuations of the pseudospin magnetization in bilayer quantum Hall systems at total filling factor nu=1 by means of exact diagonalizations of the Hamiltonian…

介观与纳米尺度物理 · 物理学 2009-11-07 John Schliemann

Double-layer quantum Hall systems with spontaneous broken symmetry can exhibit a novel manybody quantum Hall effect due to the strong interlayer coherence. When the layer separation becomes close to the critical value, quantum fluctuations…

介观与纳米尺度物理 · 物理学 2009-10-28 Kyungsun Moon

The $\nu=5/2$ fractional quantum Hall effect is a system of intense experimental and theoretical interest as its ground state may host non-abelian excitations, but the exact nature of the ground state is still undetermined. We present the…

介观与纳米尺度物理 · 物理学 2015-06-11 Anthony Tylan-Tyler , Yuli Lyanda-Geller

We report on a finite-size Hartree-Fock study of the competition between disorder and interactions in a two-dimensional electron gas near Landau level filling factor $\nu=1$. The ground state at $\nu=1$ evolves with increasing disorder from…

介观与纳米尺度物理 · 物理学 2009-10-31 Jairo Sinova , A. H. MacDonald , S. M. Girvin

Owing to the spin, valley, and orbital symmetries, the lowest Landau level (LL) in bilayer graphene exhibits multicomponent quantum Hall ferromagnetism. Using transport spectroscopy, we investigate the energy gaps of integer and fractional…

介观与纳米尺度物理 · 物理学 2016-03-23 Yanmeng Shi , Yongjin Lee , Shi Che , Ziqi Pi , Timothy Espiritu , Petr Stepanov , Dmitry Smirnov , Chun Ning Lau , Fan Zhang

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

介观与纳米尺度物理 · 物理学 2015-06-25 B. Rosenow , B. I. Halperin

It is demonstrated that all observed fractions at moderate Landau level fillings for the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

介观与纳米尺度物理 · 物理学 2009-11-13 S. V. Iordanski

The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level are studied by direct diagonalization. The subdominant term to the area law, the topological entanglement entropy, which is…

介观与纳米尺度物理 · 物理学 2015-05-13 B. A. Friedman , G. C. Levine

Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by perturbing around a mean-field approximation, so the question…

凝聚态物理 · 物理学 2009-10-28 O. Heinonen , M. D. Johnson

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

介观与纳米尺度物理 · 物理学 2020-05-26 M. A. Hidalgo

The fractional quantum Hall effect (FQHE), observed in two-dimensional (2D) charged particles at high magnetic fields, is one of the most fascinating, macroscopic manifestations of a many-body state stabilized by the strong Coulomb…

介观与纳米尺度物理 · 物理学 2014-09-23 Yang Liu , S. Hasdemir , D. Kamburov , A. L. Graninger , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

We report low temperature electronic transport results on the fractional quantum Hall effect of composite fermions at Landau level filling nu = 4/11 in a very high mobility and low density sample. Measurements were carried out at…

介观与纳米尺度物理 · 物理学 2015-01-14 W. Pan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

介观与纳米尺度物理 · 物理学 2022-02-15 Albert F. Rigosi

A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction…

凝聚态物理 · 物理学 2007-05-23 R. K. Bhaduri , Shuxi Li , Kaori Tanakaa , J. C. Waddington

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

介观与纳米尺度物理 · 物理学 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

The quantum Hall effect (QHE) originates from discrete Landau levels forming in a two-dimensional (2D) electron system in a magnetic field. In three dimensions (3D), the QHE is forbidden because the third dimension spreads Landau levels…

In this report we experimentally probe the non-equilibrium breakdown of the quantum Hall state in monolayer graphene by injecting a high current density ($\sim$1A/m). The measured critical currents for dissipationless transport in the…

介观与纳米尺度物理 · 物理学 2010-04-13 Vibhor Singh , Mandar M. Deshmukh

The double layer $\nu=2/3$ fractional quantum Hall system is studied using the edge state formalism and finite-size diagonalization subject to periodic boundary conditions. Transitions between three different ground states are observed as…

凝聚态物理 · 物理学 2009-10-28 I. A. McDonald , F. D. M. Haldane

Optical absorption measurements are used to probe the spin polarization in the integer and fractional quantum Hall effect regimes. The system is fully spin polarized only at filling factor $\nu=1$ and at very low temperatures($\sim40$ mK).…

介观与纳米尺度物理 · 物理学 2009-11-13 P. Plochocka , J. M. Schneider , D. K. Maude , M. Potemski , M. Rappaport , V. Umansky , I. Bar-Joseph , J. G. Groshaus , Y. Gallais , A. Pinczuk