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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.…

强关联电子 · 物理学 2017-12-27 Ganpathy Murthy , Efrat Shimshoni , Herbert Fertig

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…

强关联电子 · 物理学 2015-05-13 Naokazu Shibata , Kentaro Nomura

We investigate interaction-induced valley domain walls in bilayer graphene in the $\nu=0$ quantum Hall state, subject to a perpendicular electric field that is antisymmetric across a line in the sample. Such a state can be realized in a…

强关联电子 · 物理学 2012-05-10 Chia-Wei Huang , Efrat Shimshoni , H. A. Fertig

Symmetry breaking in a quantum system often leads to complex emergent behavior. In bilayer graphene (BLG), an electric field applied perpendicular to the basal plane breaks the inversion symmetry of the lattice, opening a band gap at the…

Utilizing the Baym-Kadanoff formalism with the polarization function calculated in the random phase approximation, the dynamics of the $\nu=0$ quantum Hall state in bilayer graphene is analyzed. Two phases with nonzero energy gap, the…

强关联电子 · 物理学 2010-04-27 E. V. Gorbar , V. P. Gusynin , V. A. Miransky

We investigate spin and valley symmetry-broken fractional quantum Hall phases within a formalism that naturally extends the paradigm of quantum Hall ferromagnetism from integer to fractional quantum Hall states, allowing us to construct…

介观与纳米尺度物理 · 物理学 2022-05-23 Suraj S. Hegde , Inti Sodemann Villadiego

In a Bernal-stacked graphene bilayer, an electronic state in Landau level $% N=0$ is described by its guiding-center index $X$ (in the Landau gauge) and by its valley, spin, and orbital indices $\xi =\pm K,\sigma =\pm 1,$ and $% n=0,1.$…

介观与纳米尺度物理 · 物理学 2014-01-08 J. Lambert , R. Côté

Graphene and its multilayers have attracted considerable interest owing to the fourfold spin and valley degeneracy of their charge carriers, which enables the formation of a rich variety of broken-symmetry states and raises the prospect of…

介观与纳米尺度物理 · 物理学 2013-09-10 Benjamin E. Feldman , Andrei J. Levin , Benjamin Krauss , Dmitry Abanin , Bertrand. I. Halperin , Jurgen H. Smet , Amir Yacoby

We report on a theoretical study of $\nu=2$ bilayer quantum Hall systems with a magnetic field that has a component parallel to the layers. As in the $\nu=1$ case, interlayer phase coherence is closely coupled to electron correlations and…

介观与纳米尺度物理 · 物理学 2009-11-07 A. A. Burkov , A. H. MacDonald

The Hall-plateau width and the activation energy were measured in the bilayer quantum Hall state at filling factor \nu=2, 1 and 2/3, by changing the total electron density and the density ratio in the two quantum wells. Their behavior are…

介观与纳米尺度物理 · 物理学 2009-10-31 A. Sawada , Z. F. Ezawa , H. Ohno , Y. Horikoshi , Y. Ohno , S. Kishimoto , F. Matsukura , M. Yasumoto , A. Urayama

We investigate integer and half-integer filling states (uniform and unidimensional stripe states respectively) for graphene using the Hartree-Fock approximation. For fixed filling factor, the ratio between the scales of the Coulomb…

介观与纳米尺度物理 · 物理学 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

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

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…

介观与纳米尺度物理 · 物理学 2022-02-02 Xiaomeng Liu , Gelareh Farahi , Cheng-Li Chiu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

Bilayer graphene in a magnetic field hosts a variety of ordered phases built from eight Landau levels close in energy to the neutrality point. These levels are characterized by orbital $n=0,1$, valley $\xi=+,-$ and spin…

介观与纳米尺度物理 · 物理学 2020-05-25 Brett R. Green , Jorge O. Sofo

Monolayer graphene at charge neutrality in a quantizing magnetic field is a quantum Hall ferromagnet. Due to the spin and valley (near) degeneracies, there is a plethora of possible ground states. Previous theoretical work, based on a…

介观与纳米尺度物理 · 物理学 2023-04-03 Suman Jyoti De , Ankur Das , Sumathi Rao , Ribhu K. Kaul , Ganpathy Murthy

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works,…

强关联电子 · 物理学 2012-05-31 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

介观与纳米尺度物理 · 物理学 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

A two-dimensional electron system placed in a magnetic field develops Landau levels, where strong Coulomb interactions lead to the appearance of many-body correlated ground states. Quantum numbers similar to the electron spin enable the…

介观与纳米尺度物理 · 物理学 2023-08-14 Ke Huang , Hailong Fu , Danielle Reifsnyder Hickey , Nasim Alem , Xi Lin , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

The rich phase diagram of quantum spin-ladder systems has attracted much attention in the theoretical literature. The progress in experimental realisations of this fascinating physics however has been much slower. While materials with a…

介观与纳米尺度物理 · 物理学 2015-11-05 Victoria Mazo , Chia-Wei Huang , Efrat Shimshoni , Sam T. Carr , H. A. Fertig

The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of…

介观与纳米尺度物理 · 物理学 2011-10-26 Z. Papic , R. Thomale , D. A. Abanin
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