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In this paper we study the effect of a fluctuating gap in mono- and bilayer graphene, created by a random staggered potential. We identify a continuous symmetry for the two-particle Green's function which is spontaneously broken in the…

Disordered Systems and Neural Networks · Physics 2009-05-21 K. Ziegler

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

We employ a dual-gated geometry to control the band gap \Delta in bilayer graphene and study the temperature dependence of the resistance at the charge neutrality point, RNP(T), from 220 to 1.5 K. Above 5 K, RNP(T) is dominated by two…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 K. Zou , J. Zhu

We propose that a weakly spontaneous charge-ordered insulating state probably exists in Bernal-stacked bilayer graphene which can account for experimentally observed non-monotonic behavior of resistance as a function of the gated field,…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Xiu-Cai Jiang , Ze-Yi Song , Ze Ruan , Yu-Zhong Zhang

We develop a theory for density, disorder, and temperature dependent electrical conductivity of bilayer graphene in the presence of long-range charged impurity scattering as well as an additional short-range disorder of independent origin,…

Mesoscale and Nanoscale Physics · Physics 2010-04-21 S. Das Sarma , E. H. Hwang , E. Rossi

We study the density of states in monolayer and bilayer graphene in the presence of a random potential that breaks sublattice symmetries. While a uniform symmetry-breaking potential opens a uniform gap, a random symmetry-breaking potential…

Disordered Systems and Neural Networks · Physics 2009-09-30 B. Dora , K. Ziegler

We present an interpretation of recent experimental measurements of dmu/dn in suspended bilayer graphene samples. We demonstrate that the data may be quantitatively described by assuming a spatially varying band gap induced by local…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 D. S. L. Abergel , H. Min , E. H. Hwang , S. Das Sarma

We develop a theory for the compressibility and quantum capacitance of disordered monolayer and bilayer graphene including the full hyperbolic band structure and band gap in the latter case. We include the effects of disorder in our theory,…

Mesoscale and Nanoscale Physics · Physics 2011-03-09 D. S. L. Abergel , E. H. Hwang , S. Das Sarma

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

Strain, both naturally occurring and deliberately engineered, can have a considerable effect on the structural and electronic properties of 2D and layered materials. Uniaxial or biaxial heterostrain modifies the stacking arrangement of…

Materials Science · Physics 2022-10-19 Nina C. Georgoulea , Stephen R. Power , Nuala M. Caffrey

Electron transport in bilayer graphene is studied by using a first principles analysis and theMonte Carlo simulation under conditions relevant to potential applications. While the intrinsic properties are found to be much less desirable in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 X. Li , K. M. Borysenko , M. Buongiorno Nardelli , K. W. Kim

The DC conductivity of monolayer and bilayer graphene is studied perturbatively for different types of disorder. In the case of monolayer, an exact cancellation of logarithmic divergences occurs for all disorder types. The total…

Disordered Systems and Neural Networks · Physics 2011-12-05 Andreas Sinner , Klaus Ziegler

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

Pristine bilayer graphene behaves in some instances as an insulator with a transport gap of a few meV. This behaviour has been interpreted as the result of an intrinsic electronic instability induced by many-body correlations. Intriguingly,…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 P. San-Jose , R. V. Gorbachev , A. K. Geim , K. S. Novoselov , F. Guinea

Both transport $\tau_{tr}$ and elastic scattering times $\tau_{e}$ are experimentally determined from the carrier density dependence of the magnetoconductance of monolayer and bilayer graphene. Both times and their dependences in carrier…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Monteverde , C. Ojeda-Aristizabal , R. Weil , K. Bennaceur , M. Ferrier , S. Gueron , C. Glattli , H. Bouchiat , J. N. Fuchs , D. Maslov

We address the optical conductivity of undoped bilayer graphene in the presence of a finite bias voltage at finite temperature. The effects of gap parameter and stacking type on optical conductivity are discussed in the context of tight…

Strongly Correlated Electrons · Physics 2021-06-23 Bahram Maleki , Hamed Rezania

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

Using the semi-classical Boltzmann theory, we calculate the conductivity as function of the carrier density. As usually, we include the scattering from charged impurities, but conclude that the estimated impurity density is too low in order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Stauber , N. M. R. Peres , F. Guinea

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

Correlated insulators are frequently observed in magic angle twisted bilayer graphene at even fillings of electrons or holes per moir\'e unit-cell. Whereas theory predicts these insulators to be intervalley coherent excitonic phases, the…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Gal Shavit , Kryštof Kolář , Christophe Mora , Felix von Oppen , Yuval Oreg
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