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The band structure of Bernal-stacked bilayer graphene can be tuned using double-gated transistors to apply a perpendicular electric field that generates an interlayer potential energy difference $\Delta$. Dielectric breakdown limits the…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Margherita Melegari , Brian Skinner , Ignacio Gutierrez-Lezama , Alberto F. Morpurgo

Coherent motion of the electrons in the Bloch states is one of the fundamental concepts of the charge conduction in solid state physics. In layered materials, however, such a condition often breaks down for the interlayer conduction, when…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Youngwook Kim , Hoyeol Yun , Seung-Geol Nam , Minhyeok Son , Dong Su Lee , Dong Chul Kim , S. Seo , Hee Cheul Choi , Hu-Jong Lee , Sang Wook Lee , Jun Sung Kim

We formulate a theory of transport in graphene bilayers in the weak momentum scattering regime in such a way as to take into account contributions to the electrical conductivity to leading and next-to-leading order in the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dimitrie Culcer , R. Winkler

Using ab-initio methods, we show that the uniform deformation either leaves graphene (semi)metallic or opens up a small gap yet only beyond the mechanical breaking point of the graphene, contrary to claims in the literature based on…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 I. I. Naumov , A. M. Bratkovsky

Inherent symmetries of a system lead to multiple degeneracies of its energy spectra. Introducing individual atomic impurities can locally break these symmetries, which is expected to lift the degenerate degrees of freedom around the…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yu Zhang , Qi-Qi Guo , Si-Yu Li , Lin He

We present a tight-binding investigation of strained bilayer graphene within linear elasticity theory, focusing on the different environments experienced by the A and B carbon atoms of the different sublattices. We find that the…

Materials Science · Physics 2012-08-17 B. Verberck , B. Partoens , F. M. Peeters , B. Trauzettel

The inhomogenous real-space electronic structure of gapless and gapped disordered bilayer graphene is calculated in the presence of quenched charge impurities. For gapped bilayer graphene we find that for current experimental conditions the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 E. Rossi , S. Das Sarma

The influence of magnetic impurities on the transport properties of graphene is investigated in the regime of strong applied electric fields. As a result of electron-hole pair creation, the response becomes nonlinear and dependent on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 Arnaud Demion , Alberto D. Verga

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

In a Bernal graphene bilayer, carbon atoms belong to two inequivalent sublattices A and B, with atoms that are coupled to the other layer by $p_\sigma$ bonds belonging to sublattice A and the other atoms belonging to sublattice B. We…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ahmed Missaoui , Jouda Jemaa Khabthani , Nejm-Eddine Jaidane , Didier Mayou , Guy Trambly de Laissardière

The density of states of Dirac fermions with a random mass on a two-dimensional lattice is considered. We give the explicit asymptotic form of the single-electron density of states as a function of both energy and (average) Dirac mass, in…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Simon Villain-Guillot , Giancarlo Jug , Klaus Ziegler

The electronic and optical response of Bernal stacked bilayer graphene with geometry modulation and gate voltage are studied. The broken symmetry in sublattices, one dimensional periodicity perpendicular to the domain wall and out-of-plane…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Bor-Luen Huang , Chih-Piao Chuu , Ming-Fa Lin

We calculate the optical sum associated with the in-plane conductivity of a graphene bilayer. A bilayer asymmetry gap generated in a field-effect device can split apart valence and conduction bands, which otherwise would meet at two K…

Mesoscale and Nanoscale Physics · Physics 2008-04-08 L. Benfatto , S. G. Sharapov , J. P. Carbotte

Although much progress has been made on the physics of magic angle twisted bilayer graphene at integer fillings, little attention has been given to fractional fillings. Here we show that the three-peak structure of Wannier orbitals,…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Kevin Zhang , Yang Zhang , Liang Fu , Eun-Ah Kim

Analytical treatments of tunneling in bilayer graphene have typically relied on minimal models including only the vertical interlayer hopping $\gamma_1$ and have been restricted to the weak interlayer bias regime $2\varepsilon \ll…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Ryo Tamura

Graphene-based moir\'e superlattice featuring flat bands is a promising platform for studying strongly correlated states. By tuning two twist angles and displacement fields in twisted mono-mono-bilayer graphene (TMMBG), we observed a…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Jin Jiang , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

When graphene is close to charge neutrality, its energy landscape is highly inhomogeneous, forming a sea of electron-like and hole-like puddles, which determine the properties of graphene at low carrier density. However, the details of the…

Mesoscale and Nanoscale Physics · Physics 2011-12-07 Shaffique Adam , Suyong Jung , Nikolai N. Klimov , Nikolai B. Zhitenev , Joseph A. Stroscio , M. D. Stiles

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

Chirality is one of the key features governing the electronic properties of single- and bilayer graphene: the basics of this concept and its consequences on transport are presented in this review. By breaking the inversion symmetry, a band…

In semiconducting armchair graphene ribbons a chiral lattice deformation can induce pairs of topological gap states with opposite energies. Near the critical value of the deformation potential these kink and antikink states become almost…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Y. H. Jeong , S. C. Kim , S. -R. Eric Yang