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In a magnetic field graphene trilayers support a special multiplet of 12 zero(-energy)-mode Landau levels with a threefold degeneracy in Landau orbitals. A close look is made into such zero-mode levels in ABA-stacked trilayers, with the…

Mesoscale and Nanoscale Physics · Physics 2014-04-08 K. Shizuya

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

The electronic spectrum of three coupled graphene layers (graphene trilayers) is investigated in the presence of an external magnetic field. We obtain analytical expressions for the Landau level spectrum for both the ABA and ABC - type of…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 J. M. Pereira , S. H. R. Sena , F. M. Peeters , G. A. Farias

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 a magnetic field graphene trilayers support a characteristic multiplet of 12 zero(-energy)-mode Landau levels with a threefold degeneracy in Landau orbitals. It was earlier noted for bilayer graphene that Coulombic vacuum fluctuations,…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 K. Shizuya

We observed broken-symmetry quantum Hall effects and level crossings between spin- and valley- resolved Landau levels (LLs) in Bernal stacked trilayer graphene. When the magnetic field was tilted with respect to sample normal from…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Yuta Asakawa , Satoru Masubuchi , Naoko Inoue , Sei Morikawa , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

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

The sequence of the zeroth Landau levels (LLs) between filling factors $\nu$=-6 to 6 in ABA-stacked trilayer graphene (TLG) is unknown because it depends sensitively on the non-uniform charge distribution on the three layers of ABA-stacked…

We construct a continuum model of twisted trilayer graphene using {\it ab initio} density-functional-theory calculations, and apply it to address twisted trilayer electronic structure. Our model accounts for moir\'e variation in site…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Lukas Linhart , Wei Qin , Florian Libisch , Allan H. MacDonald

We study the Landau level spectrum of ABA- and ABC-stacked trilayer graphene. We derive analytic low energy expressions for the spectrum, the validity of which is confirmed by comparison to a \pi -band tight-binding calculation of the…

Mesoscale and Nanoscale Physics · Physics 2011-10-04 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

Here we study the evolution of local electronic properties of a twisted graphene bilayer induced by a strain and a high curvature. The strain and curvature strongly affect the local band structures of the twisted graphene bilayer; the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Wei Yan , Wen-Yu He , Zhao-Dong Chu , Mengxi Liu , Lan Meng , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

In this Letter, we present a comprehensive study of magnetotransport in high-mobility trilayer graphene (TLG) devices under a transverse displacement field, focusing on symmetry-broken Landau levels (LLs) from monolayer-like and…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Simrandeep Kaur , Unmesh Ghorai , Abhisek Samanta , Kenji Watanabe , Takashi Taniguchi , Rajdeep Sensarma , Aveek Bid

Electronic structures and their Landau quantizations in twisted graphene bilayer and trilayer are investigated using scanning tunnelling microscopy and spectroscopy. In the twisted trilayer, the top graphene layer and second layer are AB…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Long-Jing Yin , Jia-Bin Qiao , Wei Yan , Rui Xu , Rui-Fen Dou , Jia-Cai Nie , Lin He

We show that valley degeneracy in rotationally faulted multilayer graphene may be broken in the presence of a magnetic field and interlayer commensurations. This happens due to a simultaneous breaking of both time-reversal and inversion…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Hridis K Pal , E. J. Mele , M. Kindermann

We present a self-consistent calculation of the interlayer asymmetry in bilayer graphene caused by an applied electric field in magnetic fields. We show how this asymmetry influences the Landau level spectrum in bilayer graphene and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Mucha-Kruczynski , E. McCann , V. I. Fal'ko

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

We calculate the electronic band structure of ABA-stacked trilayer graphene in the presence of external gates, using a self-consistent Hartree approximation to take account of screening. In the absence of a gate potential, there are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mikito Koshino , Edward McCann

In a magnetic field bilayer graphene supports an octet of zero-energy Landau levels with an extra twofold degeneracy in Landau orbitals n=0 and n=1. It is shown that this orbital degeneracy is lifted due to Coulombic quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2012-10-25 K. Shizuya

The degeneracy of Landau levels flanking charge neutrality in twisted bilayer graphene is known to change from eight-fold to four-fold when the twist angle is reduced to values near the magic angle of $\approx 1.05^\circ$. This degeneracy…

Strongly Correlated Electrons · Physics 2019-09-11 Ya-Hui Zhang , Hoi Chun Po , T. Senthil

Interacting electrons in flat bands give rise to a variety of quantum phases. One fundamental aspect of such states is the ordering of the various flavours - such as spin or valley - that the electrons can undergo and the excitation…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani
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