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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

In wide GaAs quantum wells where two electric subbands are occupied we apply a parallel magnetic field or increase the electron density to cause a crossing of the two $N=0$ Landau levels of these subbands and with opposite spins. Near the…

介观与纳米尺度物理 · 物理学 2015-11-04 Yang Liu , S. Hasdemir , J. Shabani , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We use the voltage biased tip of a scanning force microscope at a temperature of 35\,mK to locally induce the fractional quantum Hall state of $\nu=1/3$ in a split-gate defined constriction. Different tip positions allow us to vary the…

介观与纳米尺度物理 · 物理学 2016-07-07 Beat A. Braem , Tobias Krähenmann , Szymon Hennel , Christian Reichl , Werner Wegscheider , Klaus Ensslin , Thomas Ihn

From the Fractional Quantum Hall Effect States on a torus with filling factor nu = 1/p, p odd, we found that for small values of nu such states describe triangular Wigner crystals which are stable configurations. Therefore, the insulator…

介观与纳米尺度物理 · 物理学 2011-04-29 Jaime Montes

Recent magnetotransport measurements in low-disorder electron systems confined to GaAs/AlGaAs samples revealed that the $\nu = 1$ integer quantum Hall plateau is broken into three distinct regions. These three regions were associated with…

介观与纳米尺度物理 · 物理学 2025-09-19 Haoyun Huang , Waseem Hussain , S. A. Myers , L. N. Pfeiffer , K. W. West , G. A. Csáthy

We report the observation of fractional quantum Hall (FQH) effects in a two-dimensional electron gas (2DEG) confined to an InAs/AlGaSb quantum well, using a dual-gated Hall-bar device allowing for the independent control of the vertical…

介观与纳米尺度物理 · 物理学 2022-02-17 S. Komatsu , H. Irie , T. Akiho , T. Nojima , T. Akazaki , K. Muraki

Low-energy magnon bands in a two-dimensional spin ice model become integer quantum magnon Hall bands. By calculating the localization length and the two-terminal conductance of magnon transport, we show that the magnon bands with disorders…

无序系统与神经网络 · 物理学 2016-12-21 Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

The creation of topologically non-trivial matter across electronic, mechanical, cold-atom, and photonic platforms is advancing rapidly, yet understanding the breakdown of topological protection remains a major challenge. In this work, we…

介观与纳米尺度物理 · 物理学 2025-03-05 George M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

The quantum spin Hall (QSH) effect in the DC regime, which has been intensively researched, relies on the existence of symmetry-protected edge states. Here, we demonstrate that a QSH system behaves quite differently in response to an…

介观与纳米尺度物理 · 物理学 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

The entanglement entropy of $\nu=1/2$ and $\nu=9/2$ quantum Hall states in the presence of short range disorder has been calculated by direct diagonalization. Spin polarized electrons are confined to a single Landau level and interact with…

强关联电子 · 物理学 2013-02-20 C. Balusek , B. A. Friedman , G. C. Levine , D. Luna

We combine the ideas of intensity interferometry, polarization optics and Bell's measurement into an experimental proposal which is hosted in a $\nu\,$=$\,2$ quantum Hall (QH) edge state. Our interferometer comprises of a single gate, that…

介观与纳米尺度物理 · 物理学 2016-09-02 Krishanu Roychowdhury , Disha Wadhawan , Poonam Mehta , Biswajit Karmakar , Sourin Das

Both spin and orbital degrees of freedom contribute to the magnetic moment of isolated atoms. However, when inserted in crystals, atomic orbital moments are quenched because of the lack of rotational symmetry that protects them when…

介观与纳米尺度物理 · 物理学 2015-09-10 P. Potasz , J. Fernandez-Rossier

We use exact diagonalization to study the quantum phases and phase transitions when a single species of fermionic atoms at Landau level filling factor $\nu_f = 1$ in a rotating trap interact through a p-wave Feshbach resonance. We show that…

强关联电子 · 物理学 2017-06-14 Shiuan-Fan Liou , Zi-Xiang Hu , Kun Yang

At the low Landau filling factor $(\nu)$ termination of the fractional quantum Hall effect (FQHE) series, two-dimensional electron systems (2DESs) exhibit an insulating phase that is understood as a form of pinned Wigner solid. Here we use…

介观与纳米尺度物理 · 物理学 2015-06-09 A. T. Hatke , Y. Liu , L. W. Engel , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We report transport measurements in HgTe-based quantum wells with well width of 8 nm, corresponding to quantum spin Hall state, subject to in-plane magnetic field. In the absence of the magnetic field the local and nonlocal resistances…

介观与纳米尺度物理 · 物理学 2013-11-27 G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

介观与纳米尺度物理 · 物理学 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

At the spin transition point of $\nu=2/3$ quantum Hall states, nuclear spins in a two-dimensional electron gas are polarized by an electric current. Using GaAs/AlGaAs double-quantum-well samples, we first observed the spatial diffusion of…

介观与纳米尺度物理 · 物理学 2014-01-14 Minh-Hai Nguyen , Shibun Tsuda , Daiju Terasawa , Akira Fukuda , Yangdong Zheng , Anju Sawada

We present an analytical scaling theory for localization in a two-dimensional hierarchical network model that is designed to represent phase-coherent electron transport in the quantum-Hall regime. Scaling expressions for both the…

介观与纳米尺度物理 · 物理学 2009-11-07 U. Zuelicke , Efrat Shimshoni

Quantum spin Hall (QSH) insulators and Mott insulators are conventionally regarded as distinct insulating phases, arising from band topology and strong Coulomb interactions, respectively. Here, we report the observation of QSH edge…

介观与纳米尺度物理 · 物理学 2026-05-21 Yifei Jin , Yaqi Ma , Aoqian Zhang , Nan Zhang , Ulf Lampe , Ivana Wong , Kenji Watanabe , Takashi Taniguchi , Tze Kin Cheung , Ning Wang , Kaifei Kang

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size…

凝聚态物理 · 物理学 2009-10-28 D. Z. Liu , X. C. Xie , Q. Niu