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Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, split into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

介观与纳米尺度物理 · 物理学 2009-11-13 K. Shizuya

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…

介观与纳米尺度物理 · 物理学 2012-10-25 K. Shizuya

The electromagnetic response of bilayer graphene in a magnetic field is studied in comparison with that of monolayer graphene. Both types of graphene turn out to be qualitatively quite similar in dielectric and screening characteristics,…

介观与纳米尺度物理 · 物理学 2009-11-13 T. Misumi , K. Shizuya

In a magnetic field bilayer graphene supports, at the lowest Landau level, eight characteristic zero-energy levels with an extra twofold degeneracy in Landau orbitals $n=\{0,1\}$. They, under general one-body and many-body interactions,…

介观与纳米尺度物理 · 物理学 2020-05-25 K. Shizuya

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

Bilayer graphene bears an eight-fold degeneracy due to spin, valley and layer symmetry, allowing for a wealth of broken symmetry states induced by magnetic or electric fields, by strain, or even spontaneously by interaction. We study the…

介观与纳米尺度物理 · 物理学 2012-02-15 F. Freitag , J. Trbovic , M. Weiss , C. Schönenberger

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…

介观与纳米尺度物理 · 物理学 2015-03-17 R. Cote , Wenchen Luo , Branko Petrov , Yafis Barlas , A. H. MacDonald

Bilayer graphene under a magnetic field has an octet of quasidegenerate levels due to spin, valley, and orbital degeneracies. This zero-energy Landau level is resolved into several incompressible states whose nature is still elusive. We use…

强关联电子 · 物理学 2016-12-28 Angelika Knothe , Thierry Jolicoeur

We study the energy spectrum of a graphene bilayer in the presence of transverse electric and magnetic fields. We find that the resulting Landau levels exhibit a nonmonotonic dependence on the electric field, as well as numerous level…

介观与纳米尺度物理 · 物理学 2011-08-16 L. M. Zhang , M. M. Fogler , D. P. Arovas

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

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,…

介观与纳米尺度物理 · 物理学 2013-02-19 K. Shizuya

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…

介观与纳米尺度物理 · 物理学 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

The magnetoelectronic properties of quasi-one-dimensional zigzag graphene nanoribbons are investigated by using the Peierls tight-binding model. Quasi-Landau levels (QLLs), dispersionless Landau subbands within a certain region of k-space,…

介观与纳米尺度物理 · 物理学 2014-05-19 Hsien-Ching Chung , Po-Hua Yang , To-Sing Li , Ming-Fa Lin

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important and account for the band asymmetry in…

介观与纳米尺度物理 · 物理学 2009-11-13 D. S. L. Abergel , Tapash Chakraborty

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…

介观与纳米尺度物理 · 物理学 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important. We show that in the unbiased bilayer…

介观与纳米尺度物理 · 物理学 2008-10-02 D. S. L. Abergel , Tapash Chakraborty

We propose that the electronic structure of twisted bilayer graphene (TBG) can be understood as Dirac fermions coupled with opposite pseudo magnetic fields generated by the moir\'e pattern. The two low-energy flat bands from each monolayer…

介观与纳米尺度物理 · 物理学 2019-04-24 Jianpeng Liu , Junwei Liu , Xi Dai

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…

介观与纳米尺度物理 · 物理学 2014-04-08 K. Shizuya

The zero-energy Landau level of bilayer graphene is shown to be anomalously sharp (delta-function like) against bond disorder as long as the disorder is correlated over a few lattice constants.The robustness of the zero-mode anomaly can be…

介观与纳米尺度物理 · 物理学 2015-06-03 Tohru Kawarabayashi , Yasuhiro Hatsugai , Hideo Aoki

In a graphene bilayer with Bernal stacking both $n=0$ and $n=1$ orbital Landau levels have zero kinetic energy. An electronic state in the N=0 Landau level consequently has three quantum numbers in addition to its guiding center label: its…

介观与纳米尺度物理 · 物理学 2015-03-13 R. Côté , Jules Lambert , Yafis Barlas , A. H. MacDonald
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