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We report measurements of the interaction-induced quantum Hall effect in a spin-polarized AlAs two-dimensional electron system where the electrons occupy two in-plane conduction band valleys. Via the application of in-plane strain, we tune…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. P. Shkolnikov , S. Misra , N. C. Bishop , E. P. De Poortere , M. Shayegan

We provide a systematic quantitative description of the edge state structure around a quantum antidot in the integer quantum Hall regime. The calculations for spinless electrons within the Hartree approximation reveal that the widely used…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Ihnatsenka , I. V. Zozoulenko

Magnetic skyrmion crystals with zero net skyrmion charge and zero topological Hall response are interesting candidate phases which can occur at a vanishing magnetic field in centrosymmetric systems. We study a minimal bilayer model of…

Mesoscale and Nanoscale Physics · Physics 2025-08-11 Andrew Hardy , Anjishnu Bose , Tanmay Grover , Arun Paramekanti

We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors nu=5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Akira Endo , Naokazu Shibata , Yasuhiro Iye

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

State of the art computing opens now a new window to the integer quantum Hall effect (IQHE) regime, which enforces a major revision of the common knowledge accumulated so far. In our record-breaking application of the Hartree-Fock method we…

Mesoscale and Nanoscale Physics · Physics 2022-05-31 Josef Oswald

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

The incommensurate phase of a bilayer quantum Hall state is found to have a ``rippled'' dipole charge density whenever the layers are unbalanced. This tunable dipole-density-wave instability could be detected by sensitive capacitance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. B. Hanna

The interaction between electrons in graphene under high magnetic fields drives the formation of a rich set of quantum Hall ferromagnetic phases (QHFM), with broken spin or valley symmetry. Visualizing atomic scale electronic wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Xiaomeng Liu , Gelareh Farahi , Cheng-Li Chiu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence of lattice strain at integer filling $\nu=\pm3$. Using the self-consistent Hartree-Fock method on a particle-hole symmetric model and allowing…

Strongly Correlated Electrons · Physics 2023-03-01 Fang Xie , Jian Kang , B. Andrei Bernevig , Oskar Vafek , Nicolas Regnault

Bilayer graphene (BLG) offers a rich platform for broken symmetry states stabilized by interactions. In this work we study the phase diagram of BLG in the quantum Hall regime at filling factor $\nu=0$ within the Hartree-Fock approximation.…

Strongly Correlated Electrons · Physics 2017-12-27 Ganpathy Murthy , Efrat Shimshoni , Herbert Fertig

We show that the sign of magnetic anisotropy energy in quantum Hall ferromagnets is determined by a competition between electrostatic and exchange energies. Easy-axis ferromagnets tend to occur when Landau levels whose states have similar…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , S. P. Shukla , L. Smrcka , M. Shayegan , A. H. MacDonald

We investigate spontaneous interlayer phase coherence and the occurrence of the quantum Hall effect in triple-layer electron systems. Our work is based on a simple tight-binding model that greatly facilitates calculations and whose accuracy…

Condensed Matter · Physics 2009-10-28 C. B. Hanna , A. H. MacDonald

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Z. Papić , M. O. Goerbig , N. Regnault

The incompressible Quantum Hall strip is sensitive to charging of localized states in the cyclotron gap. We study the effect of localized states by a density functional approach and find electron density and the strip width as a function of…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 Ivan A. Larkin , L. S. Levitov

Magnetotransport of conventional semiconductor based double layer systems with barrier suppressed interlayer tunneling has been a rewarding subject due to the emergence of an interlayer coherent state that behaves as an excitonic…

Mesoscale and Nanoscale Physics · Physics 2025-01-06 Dohun Kim , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jurgen H. Smet , Gil Young Cho , Youngwook Kim

We study quantum Hall ferromagnets with a finite density topologically charged spin textures in the presence of internal degrees of freedom such as spin, valley, or layer indices, so that the system is parametrised by a $d$-component…

Strongly Correlated Electrons · Physics 2015-06-05 D. L. Kovrizhin , Benoît Douçot , R. Moessner

The Quantum Hall Effect of Field Induced Spin Density Wave Phases is accounted for within a weak coupling theory which assumes that in the relevant low temperature part of the phase diagram the quasi one dimensional conductor is well…

Condensed Matter · Physics 2009-10-30 Pascal Lederer

Deformation of the easy-axis ferromagnetic state in asymmetric bilayer systems are investigated numerically. Using the exact diagonalization the easy-axis to easy-plane ferromagnetic transition at total filling factor 3 or 4 is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Nomura , D. Yoshioka , T. Jungwirth , A. H. MacDonald
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