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We demonstrate that for gapped bilayer graphene, the nonlinear nature of the screening of an external disorder potential and the resulting inhomogeneity of the electron liquid are crucial for describing the electronic compressibility. In…

Mesoscale and Nanoscale Physics · Physics 2012-11-06 D. S. L. Abergel , E. Rossi , S. Das Sarma

The density of states (DoS), $\varrho(E)$, of graphene is investigated numerically and within the self-consistent T-matrix approximation (SCTMA) in the presence of vacancies within the tight binding model. The focus is on compensated…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 V. Haefner , J. Schindler , N. Weik , T. Mayer , S. Balakrishnan , R. Narayanan , S. Bera , F. Evers

We theoretically study the transport properties of both monolayer and bilayer graphene in the presence of electron-hole puddles induced by charged impurities which are invariably present in the graphene environment. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 Qiuzi Li , E. H. Hwang , S. Das Sarma

We use temperature-dependent resistivity in small-angle twisted double bilayer graphene to measure bandwidths and gaps of the bands. This electron-hole asymmetric system has one set of non-dispersing bands that splits into two flat bands…

Electron transport in bilayer graphene placed under a perpendicular electric field is revealed experimentally. Steep increase of the resistance is observed under high electric field; however, the resistance does not diverge even at low…

Mesoscale and Nanoscale Physics · Physics 2011-11-16 Hisao Miyazaki , Kazuhito Tsukagoshi , Akinobu Kanda , Minoru Otani , Susumu Okada

We study the localized magnetic states of impurity in biased bilayer and trilayer graphene. It is found that the magnetic boundary for bilayer and trilayer graphene presents the mixing features of Dirac and conventional fermion. For zero…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kai-He Ding , Zhen-Gang Zhu , Jamal Berakdar

We study the electronic properties of commensurate faulted bilayer graphene by diagonalizing the one-particle Hamiltonian of the bilayer system in a complete basis of Bloch states of the individual graphene layers. Our novel approach is…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 M. Van der Donck , C. De Beule , B. Partoens , F. M. Peeters , B. Van Duppen

We propose a spectroscopic method of identifying broken symmetry states of bilayer graphene. We demonstrate theoretically that, in contrast to gapped states, a strained bilayer crystal or nematic phase of the electronic liquid are…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 D. S. L. Abergel , Vladimir I. Fal'ko

We investigated a suspended bilayer graphene where the bottom (top) layer is doped by boron (nitrogen) substitutional atoms by using Density Functional Theory (DFT) calculations. We found that at high dopant concentration (one B-N pair…

Materials Science · Physics 2016-05-25 Daniele Giofré , Davide Ceresoli , Mario I. Trioni

We induced periodic biaxial tensile strain in polycrystalline graphene by wrapping it over a substrate with repeating pillar-like structures with a periodicity of 600 nm. Using Raman spectroscopy, we determined to have introduced biaxial…

Materials Science · Physics 2015-11-09 Marjan Aslani , C. Michael Garner , Suhas Kumar , Dennis Nordlund , Piero Pianetta , Yoshio Nishi

We consider strained graphene, modelled by the two-dimensional massive Dirac operator, with potentials corresponding to charge distributions with vanishing total charge, non-vanishing dipole moment and finitely many point charges of…

Mathematical Physics · Physics 2017-03-07 Florian Dorsch

We analyse the behavior of the density of states in a singlet s-wave superconductor with weak magnetic impurities in the clean limit. By using the method of optimal fluctuation and treating the order parameter self-consistently we show that…

Superconductivity · Physics 2009-11-07 A. V. Shytov , I. Vekhter , I. A. Gruzberg , A. V. Balatsky

The two-state molecular orbital model of the one-dimensional phenyl-based semiconductors is applied to poly(p-phenylene vinylene). The energies of the low-lying excited states are calculated using the density matrix renormalization group…

Condensed Matter · Physics 2009-10-31 Mikhail Yu. Lavrentiev , William Barford , Simon J. Martin , Helen Daly , Robert J. Bursill

In this paper we propose a mechanism for the induction of energy gaps in the spectrum of graphene and its bilayer, when both these materials are covered with water and ammonia molecules. The energy gaps obtained are within the range 20-30…

Materials Science · Physics 2008-08-28 R. M. Ribeiro , N. M. R. Peres , J. Coutinho , P. R. Briddon

Using a first principles density functional electronic structure method, we study the energy gaps and magnetism in bilayer graphene nanoribbons as a function of the ribbon width and the strength of an external electric field between the…

Materials Science · Physics 2009-11-13 Bhagawan Sahu , Hongki Min , Allan. H. MacDonald , Sanjay K. Banerjee

Based on a first-principles approach, we present scaling rules for the band gaps of graphene nanoribbons (GNRs) as a function of their widths. The GNRs considered have either armchair or zigzag shaped edges on both sides with hydrogen…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Young-Woo Son , Marvin L. Cohen , Steven G. Louie

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das

Artificial molecular states of double quantum dots defined in bilayer graphene are studied with the atomistic tight-binding and its low-energy continuum approximation. We indicate that the extended electron wave functions have opposite…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 D. P. Żebrowski , F. M. Peeters , B. Szafran

Electron wavefunctions in twisted bilayer graphene may have a strong single layer character or be intrinsically delocalized between layers, with their nature often determined by how energetically close they are to the Dirac point. In this…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Chi-Ken Lu , H. A. Fertig

We investigate the high-frequency behavior of the density of vibrational states in three-dimensional elasticity theory with spatially fluctuating elastic moduli. At frequencies well above the mobility edge, instanton solutions yield an…

Disordered Systems and Neural Networks · Physics 2015-06-16 Constantin Tomaras , Walter Schirmacher