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We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

In the presence of a perpendicular magnetic field, ABC-stacked trilayer graphene's chiral band structure supports a 12-fold degenerate N=0 Landau level (LL). Along with the valley and spin degrees of freedom, the zeroth LL contains…

Mesoscale and Nanoscale Physics · Physics 2012-10-15 R. Côté , Maxime Rondeau , Anne-Marie Gagnon , Yafis Barlas

The N=0 Landau levels of ABC and ABA trilayer graphene both have approximate 12-fold degeneracies that are lifted by interactions to produce strong quantum Hall effects (QHE) at all integer filling factors between nu=-6 and nu=6. We discuss…

Strongly Correlated Electrons · Physics 2013-07-02 Fan Zhang , Dagim Tilahun , Allan H. MacDonald

The quantum Hall effect near the charge neutrality point in bilayer graphene is investigated in high magnetic fields of up to 35 T using electronic transport measurements. In the high field regime, the eight-fold degeneracy in the zero…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

The orbital structure of the quantum Hall ferromagnetic states in the zero-energy Landau level in chiral multilayer graphene (AB, ABC, ABCA, etc.\ stackings) is determined by the exchange interaction with all levels, including deep-lying…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Csaba Toke

Magneto-transport experiments on ABC-stacked suspended trilayer graphene reveal a complete splitting of the twelve-fold degenerated lowest Landau level, and, in particular, the opening of an exchange-driven gap at the charge neutrality…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 H. J. van Elferen , A. Veligura , N. Tombros , E. V. Kurganova , B. J. van Wees , J. C. Maan , U. Zeitler

Magnetic fields quench the kinetic energy of two dimensional electrons, confining them to highly degenerate Landau levels. In the absence of disorder, the ground state at partial Landau level filling is determined only by Coulomb…

Strongly Correlated Electrons · Physics 2018-07-04 A. A. Zibrov , E. M. Spanton , H. Zhou , C. Kometter , T. Taniguchi , K. Watanabe , A. F. Young

The co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

Trilayer graphene in the fractional Quantum Hall Effect regime displays a set of unique interaction-induced transitions that can be tuned entirely by the applied bias voltage. These transitions occur near the anti-crossing points of two…

Strongly Correlated Electrons · Physics 2015-06-03 Vadim M. Apalkov , Tapash Chakraborty

We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase $2\pi$. Its…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Edward McCann , Vladimir I. Fal'ko

We present low temperature transport measurements on dual-gated suspended trilayer graphene in the quantum Hall (QH) regime. We observe QH plateaus at filling factors {\nu}=-8, -2, 2, 6, and 10, in agreement with the full-parameter tight…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yongjin Lee , Jairo Velasco , David Tran , Fan Zhang , Wenzhong Bao , Lei Jing , Kevin Myhro , Dmitry Smirnov , Chun Ning Lau

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 $% n=0,1.$…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 J. Lambert , R. Côté

We numerically study the quantum Hall effect in biased bilayer graphene based on a tight-binding model in the presence of disorder. Integer quantum Hall plateaus with quantized conductivity $\sigma_{xy}=\nu e^2/h$ (where $\nu$ is any…

Mesoscale and Nanoscale Physics · Physics 2009-07-29 R. Ma , L. J. Zhu , L. Sheng , M. Liu , D. N. Sheng

The electron-electron interaction in the Landau levels of bilayer graphene is markedly different from that of conventional semiconductors such as GaAs. We show that in the zeroth Landau level of bilayer graphene, in the orbital which is…

Strongly Correlated Electrons · Physics 2022-03-15 Ajit C. Balram

The electronic structure of multilayer graphenes depends strongly on the number of layers as well as the stacking order. Here we explore the electronic transport of purely ABA-stacked trilayer graphenes in a dual-gated field-effect device…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 E. A. Henriksen , D. Nandi , J. P. Eisenstein

We theoretically study the electronic band structure and the Hall effect in the negatively-curved three-dimensional (3D) graphene network in magnetic fields. We found that special energy regions appear above and below the zero-energy Landau…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Toshiki Kiryu , Mikito Koshino

Fully taking into account of the honeycomb lattice structure, fractional quantum Hall states of graphene are considered by a pseudopotential projected into the n = 0 Landau band. By using a chirality as an internal degree of freedom, the…

Strongly Correlated Electrons · Physics 2018-05-16 Koji Kudo , Yasuhiro Hatsugai

The minimum of 4-terminal conductance occurring at its charge neutral point has proven to be a robust empirical feature of graphene, persisting with changes to temperature, applied magnetic field, substrate, and layer thickness, though the…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 P. Cadden-Zimansky , M. Shinn , G. T. Myers , Y. Chu , M. J. Dalrymple , H. C. Travaglini

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

We compare the energies of different electron solids, such as bubble crystals with triangular and square symmetry and stripe phases, to those of correlated quantum liquids in partially filled intermediate Landau levels. Multiple transitions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith
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