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We analyze bilayer quantum Hall ferromagnets, whose underlying symmetry group is SU(4). Spin-pseudospin coherence develops spontaneously when the total electron density is low enough. Quasiparticles are CP^3 skyrmions. One skyrmion induces…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa

The spin and layer (pseudospin) degrees of freedom are entangled coherently in the canted antiferromagnetic phase of the bilayer quantum Hall system at the filling factor $\nu =2$. There emerges a complex Goldstone mode describing such a…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Yusuke Hama , George Tsitsishvili , Zyun F. Ezawa

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

In this paper we study in detail different types of topological solitons which are possible in bilayer quantum Hall systems at filling fraction $\nu =1$ when spin degrees of freedom are included. Starting from a microscopic Hamiltonian we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sankalpa Ghosh , R. Rajaraman

Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent…

Strongly Correlated Electrons · Physics 2020-09-02 Ze-Pei Cian , Tobias Grass , Abolhassan Vaezi , Zhao Liu , Mohammad Hafezi

We study the quantum Hall effect in graphene at filling factors \nu = 0 and \nu = \pm, concentrating on the quantum Hall ferromagnetic regime, within a non-perturbative bosonization formalism. We start by developing a bosonization scheme…

Mesoscale and Nanoscale Physics · Physics 2008-11-14 R. L. Doretto , C. Morais Smith

We present an effective Hamiltonian for a bilayer quantum Hall system at filling factor $\nu=1$ neglecting charge fluctuations. Our model is formulated in terms of spin and pseudospin operators and is an exact representation of the system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anton Burkov , John Schliemann , A. H. MacDonald , S. M. Girvin

The two-dimensional electron gas in a bilayer quantum Hall system can sustain an interlayer coherence at filling factor nu=1 even in the absence of tunneling between the layers. This system has low-energy charged excitations which may carry…

Mesoscale and Nanoscale Physics · Physics 2009-06-09 R. Cote , D. B. Boisvert , J. Bourassa , M. Boissonneault , H. A. Fertig

At the filling factor $\nu$=2, the bilayer quantum Hall system has three phases, the spin-ferromagnet phase, the spin singlet phase and the canted antiferromagnet (CAF) phase, depending on the relative strength between the Zeeman energy and…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Y. Hama , Y. Hidaka , G. Tsitsishvili , Z. F. Ezawa

Excitation spectra in bilayer quantum Hall systems at total Landau-level filling $\nu=2$ are studied by the Hartree-Fock-Bogoliubov approximation. The systems have the spin degrees of freedom in addition to the layer degrees of freedom…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yuichi Shimoda , Tatsuya Nakajima , Anju Sawada

We measured the magnetoresistance of bilayer quantum Hall (QH) effects at the fractional filling factor $\nu =2/3$ by changing the total electron density and the density difference between two layers. Three different QH states were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kumada , D. Terasawa , Y. Shimoda , H. Azuhata , A. Sawada , Z. F. Ezawa , K. Muraki , T. Saku , Y. Hirayama

As a consequence of the approximate spin-valley symmetry in graphene, the ground state of electrons in graphene at charge neutrality is a particular SU(4) quantum-Hall ferromagnet to minimize their exchange energy. If only the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Jonathan Atteia , Yunlong Lian , Mark Oliver Goerbig

A graphene bilayer in a transverse magnetic field has a set of Landau levels with energies $E=\pm \sqrt{N(N+1)}\hslash \omega_{c}^{\ast}$ where $\omega_{c}^{\ast}$ is the effective cyclotron frequency and $% N=0,1,2,...$ All Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 R. Cote , Wenchen Luo , Branko Petrov , Yafis Barlas , A. H. MacDonald

The bilayer QH system has four energy levels in the lowest Landau level, corresponding to the layer and spin degrees of freedom. We investigate the system in the regime where all four levels are nearly degenerate and equally active. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Z. F. Ezawa , G. Tsitsishvili

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kang-Hun Ahn , K. J. Chang

Bilayer quantum Hall states at $\nu =1$ have been demonstrated to possess a distinguished state with interlayer phase coherence. The state has both excitations of Skyrmion with spin and pseudoSkyrmion with pseudospin. We show that Skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Aiichi Iwazaki

We investigate quasiparticles in bilayer quantum Hall systems around total filling factor nu =1 by current-pumped and resistively detected NMR. The measured Knight shift reveals that the spin component in the quasiparticle increases…

Mesoscale and Nanoscale Physics · Physics 2009-11-16 Norio Kumada , Koji Muraki

An exact spin mapping is identified to simplify the recently proposed hard-core boson description (Demler and Das Sarma, Phys. Rev. Lett., to be published) of the bilayer quantum Hall system at filling factor 2. The effective spin model…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang

An improved composite-boson theory of quantum Hall ferromagnets is formulated both for the monolayer and bilayer systems. In this scheme the field operator describes solely the physical degrees of freedom representing the deviation from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa

Numerical results are presented for the spin excitations of a two-dimensional electron gas confined to a quantum well of width w. Spin waves and charged skyrmion excitations are studied for filling factors nu=1, 3, and 1/3. Phase diagrams…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs , John J. Quinn
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