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We describe the weak localization correction to conductivity in ultra-thin graphene films, taking into account disorder scattering and the influence of trigonal warping of the Fermi surface. A possible manifestation of the chiral nature of…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 K. Kechedzhi , E. McCann , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

Due to the chiral nature of electrons in a monolayer of graphite (graphene) one can expect weak antilocalisation and a positive weak-field magnetoresistance in it. However, trigonal warping (which breaks p/-p symmetry of the Fermi line in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. McCann , K. Kechedzhi , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

We present a mainly analytical study of the entanglement spectrum of Bernal-stacked graphene bilayers in the presence of trigonal warping in the energy spectrum. Upon tracing out one layer, the entanglement spectrum shows qualitative…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Sonja Predin , Paul Wenk , John Schliemann

In this study, we investigate the weak localization (WL) and weak antilocalization (WAL) effects in twisted bilayer graphene positioned on a hexagonal boron nitride substrate. The bottom graphene layer aligns with the hexagonal boron…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 Hongyi Yan , Haiwen Liu

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

The relativistic-like behavior of electrons in graphene significantly influences the interaction properties of these electrons in a quantizing magnetic field, resulting in more stable fractional quantum Hall effect states as compared to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Tapash Chakraborty , Vadim Apalkov

Bilayer graphene has drawn significant attention due to the opening of a band gap in its low energy electronic spectrum, which offers a promising route to electronic applications. The gap can be either tunable through an external electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Gregory M. Rutter , Suyong Jung , Nikolai N. Klimov , David B. Newell , Nikolai B. Zhitenev , Joseph A. Stroscio

We study how the electronic structure of the bilayer graphene (BLG) is changed by electric field and strain from {\it ab initio} density-functional calculations using the LMTO and the LAPW methods. Both hexagonal and Bernal stacked…

Materials Science · Physics 2010-03-10 B. R. K. Nanda , S. Satpathy

Bilayer graphene -- two coupled single graphene layers stacked as in graphite -- provides the only known semiconductor with a gap that can be tuned externally through electric field effect. Here we use a tight binding approach to study how…

Mesoscale and Nanoscale Physics · Physics 2010-04-29 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , F. Guinea , A. H. Castro Neto

Atomically thin materials offer multiple opportunities for layer-by-layer control of their electronic properties. While monolayer graphene (MLG) is a zero-gap system, Bernal-stacked bilayer graphene (BLG) acquires a finite band gap when the…

We have performed the first experimental investigation of quantum interference corrections to the conductivity of a bilayer graphene structure. A negative magnetoresistance - a signature of weak localisation - is observed at different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko

In this paper, we analytically investigate the electronic structure of Bernal stacking (AB stacking) graphene evolving from monolayer (a zero-gap semiconductor with a linear Dirac-like spectrum around the Fermi energy) to multi-layer…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. F. Wang , Huaixiu Zheng , Q. W. Shi , Jie Chen , Jinlong Yang , J. G. Hou

The existence of strong trigonal warping around the K point for the low energy electronic states in multilayer (N$\geq$2) graphene films and graphite is well established. It is responsible for phenomena such as Lifshitz transitions and…

Double layer graphene is a gapless semiconductor which develops a finite gap when the layers are placed at different electrostatic potentials. We study, within the tight-biding approximation, the electronic properties of the gaped graphene…

Mesoscale and Nanoscale Physics · Physics 2007-11-26 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

We study the superlattice minibands produced by the interplay between moir\'e pattern induced by hexagonal BN substrate on graphene layer and the interlayer coupling in bilayer graphene with Bernal stacking (BLG). We compare moir\'e…

Mesoscale and Nanoscale Physics · Physics 2013-11-20 M. Mucha-Kruczynski , J. Wallbank , V. I. Fal'ko

We derive an effective Hamiltonian at low energies for bilayer graphene when Fermi velocity manufactured on each layer is different of the velocity measured in pristine graphene. Based on the effective Hamiltonian, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 Fatemeh Adinehvand , Hosein Cheraghchi

We report the first experimental study of the quantum interference correction to the conductivity of bilayer graphene. Low-field, positive magnetoconductivity due to the weak localisation effect is investigated at different carrier…

Mesoscale and Nanoscale Physics · Physics 2007-08-14 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 Young-Woo Son , Seon-Myeong Choi , Yoon Pyo Hong , Sungjong Woo , Seung-Hoon Jhi

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…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Jianpeng Liu , Junwei Liu , Xi Dai
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