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We show that the twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 R. de Gail , M. O. Goerbig , F. Guinea , G. Montambaux , A. H. Castro Neto

We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By starting from the tight- binding model with the distance-dependent transfer…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikito Koshino

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

Twisted bilayer systems with discrete magic angles, such as twisted bilayer graphene featuring moir\'{e} superlattices, provide a versatile platform for exploring novel physical properties. Here, we discover a class of superflat bands in…

Optics · Physics 2022-05-31 Hongfei Wang , Shaojie Ma , Shuang Zhang , Dangyuan Lei

A low twist angle between the two stacked crystal networks in bilayer graphene enables self-organized lattice reconstruction with the formation of a periodic domain. This superlattice modulates the vibrational and electronic structures,…

Diverse emergent correlated electron phenomena have been observed in twisted graphene layers due to electronic interactions with the moir\'e superlattice potential. Many electronic structure predictions have been reported exploring this new…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 J. E. Nunn , A. McEllistrim , A. Weston , A. Garcia-Ruiz , M. D. Watson , M. Mucha-Kruczynski , C. Cacho , R. Gorbachev , V. I. Fal'ko , N. R. Wilson

We consider the instability of bilayer graphene with respect to a distorted configuration in the same spirit as the model introduced by Su, Schrieffer and Heeger. By computing the total energy of a distorted bilayer, we conclude that the…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Vitor M. Pereira , R. M. Ribeiro , N. M. R. Peres , A. H. Castro Neto

The low-energy bands of twisted bilayer graphene form Dirac cones with approximate electron-hole symmetry at small rotation angles. These crossings are protected by the emergent symmetries of moir\'e patterns, conferring a topological…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Hector Ochoa

The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 E. Suárez Morell , J. D. Correa , P. Vargas , M. Pacheco , Z. Barticevic

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

We report on infrared spectroscopy of bilayer graphene integrated in gated structures. We observed a significant asymmetry in the optical conductivity upon electrostatic doping of electrons and holes. We show that this finding arises from a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

The generalized tight-binding model, based on the subenvelope functions of distinct sublattices, is developed to investigate the magnetic quantization in sliding bilayer graphenes. The relative shift of two graphene layers induces a…

Materials Science · Physics 2016-11-18 Yao-Kung Huang , Szu-Chao Chen , Yen-Hung Ho , Chiun-Yan Lin , Ming-Fa Lin

Bilayer graphene with an interlayer potential difference has an energy gap and, when the potential difference varies spatially, topologically protected one-dimensional states localized along the difference's zero-lines. When disorder is…

Mesoscale and Nanoscale Physics · Physics 2011-08-11 Zhenhua Qiao , Jeil Jung , Qian Niu , Allan H. MacDonald

We derive the renormalization group equations describing all the short-range interactions in bilayer graphene allowed by symmetry and the long range Coulomb interaction. For certain range of parameters, we predict the first order phase…

Strongly Correlated Electrons · Physics 2013-12-19 Y. Lemonik , I. L. Aleiner , C. Toke , V. I. Fal'ko

Selection rules and interference effects in angle resolved photoemission spectra from twisted graphene bilayers are studied within a long wavelength theory for the electronic structure. Using a generic model for the interlayer coupling, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Anshuman Pal , E. J. Mele

In this work, we propose a model with Lorentz symmetry violation which describes the electronic low energy limit of the AA-bilayer graphene (BLG) system. The AA-type bilayer is known to preserve the linear dispersion relation of the…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Y. M. P. Gomes , M. J. Neves

Motivated by recent experimental findings on the low-energy spectrum of Kekul\'e-patterned graphene, the optoelectronic signatures of graphene superlattices with a spatial modulation that triples the size of the unit cell and folds the…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Saúl A. Herrera , Gerardo G. Naumis

Among the variety of correlated states exhibited by twisted bilayer graphene, cascades in the spectroscopic properties and in the electronic compressibility occur over larger ranges of energy, twist angle and temperature compared to other…

Strongly Correlated Electrons · Physics 2023-08-29 Anushree Datta , M. J. Calderón , A. Camjayi , E. Bascones

Bilayer graphene has attracted considerable interest due to the important role played by many-body effects, particularly at low energies. Here we report local compressibility measurements of a suspended graphene bilayer. We find that the…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jens Martin , Benjamin E. Feldman , R. Thomas Weitz , Monica T. Allen , Amir Yacoby

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra
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