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The conductance through single-layer graphene (SLG) and AA/AB-stacked bilayer graphene (BLG) junctions is obtained by taking into account band gap and bias voltage terms. First, we consider gapped SLG, while in between, they are connected…

Mesoscale and Nanoscale Physics · Physics 2022-10-14 Nadia Benlakhouy , Ahmed Jellal , El Houssine Atmani

Monolayer graphene and bilayer graphene have strikingly different properties. One such difference is the shape of the Fermi surface. Although anisotropic band structures can be detected in optical measurements, they have so far been…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 Takushi Oka , Shingo Tajima , Ryoya Ebisuoka , Taiki Hirahara , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

We calculated the minimal longitudinal conductivity in prefect single and bilayer graphene by extending the two methods developed for Dirac fermion gas by A. W. W. Ludwig et al. in Phys. Rev. B {\bf 50}, 7526 (1994). Using the Kubo formula…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 József Cserti

We study the conductivity of graphene with a smooth but particle-hole-asymmetric disorder potential. Using perturbation theory for the weak-disorder regime and numerical calculations we investigate how the particle-hole asymmetry shifts the…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 Max Hering , Martin Schneider , Piet W. Brouwer

We study the effects of disorder in the electronic properties of graphene multilayers, with special focus on the bilayer and the infinite stack. At low energies and long wavelengths, the electronic self-energies and density of states…

Strongly Correlated Electrons · Physics 2013-05-29 Johan Nilsson , A. H. Castro Neto , F. Guinea , N. M. R. Peres

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

We study theoretically the minimal conductivity of monolayer graphene in the presence of Rashba spin-orbit coupling. The Rashba spin-orbit interaction causes the low-energy bands to undergo trigonal-warping deformation and for energies…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 P. Rakyta , L. Oroszlány , A. Kormányos , J. Cserti

Using the Landauer formula approach, it is proven that minimal conductivity of order of $e^{2}/h$ found experimentally in bilayer graphene is its intrinsic property. For the case of ideal crystals, the conductivity turns our to be equal to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

Disordered Fermi-Dirac distributions are used to model, within a straightforward and essentially phenomenological Boltzmann equation approach, the electron/hole transport across graphene puddles. We establish, with striking experimental…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 L. Moriconi , D. Niemeyer

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

The in-plane DC conductivity of twisted bilayer graphene (TBLG) is calculated using an expansion of the real-space Kubo-Bastin conductivity in terms of Chebyshev polynomials. We investigate within a tight-binding (TB) approach the transport…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 M. Anđelković , L. Covaci , F. M. Peeters

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

Boltzmann transport theory fails near the linear band-crossing of single-layer graphene and near the quadratic band-crossing of bilayer graphene. We report on a numerical study which assesses the role of inter-band coherence in transport…

Materials Science · Physics 2010-10-11 Maxim Trushin , Janik Kailasvuori , John Schliemann , A. H. MacDonald

We present non-linear transport measurements on suspended, current annealed bilayer graphene devices. Using a multi-terminal geometry we demonstrate that devices tend to be inhomogeneous and host two different electronic phases next to each…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

The minimal conductivity of graphene is a quantity measured in the DC limit. It is shown, using the Kubo formula, that the actual value of the minimal conductivity is sensitive to the order in which certain limits are taken. If the DC limit…

Disordered Systems and Neural Networks · Physics 2007-06-19 K. Ziegler

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Bilayer graphene bears an eight-fold degeneracy due to spin, valley and layer symmetry, allowing for a wealth of broken symmetry states induced by magnetic or electric fields, by strain, or even spontaneously by interaction. We study the…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 F. Freitag , J. Trbovic , M. Weiss , C. Schönenberger

We report scanning tunneling microscopy (STM) and spectroscopy (STS) of twisted graphene bilayer on SiC substrate. For twist angle ~ 4.5o the Dirac point ED is located about 0.40 eV below the Fermi level EF due to the electron doping at the…

Strongly Correlated Electrons · Physics 2015-06-03 Lan Meng , Yanfeng Zhang , Wei Yan , Lei Feng , Lin He , Rui-Fen Dou , Jia-Cai Nie

We present measurements of the electronic compressibility, $K$, of bilayer graphene in both zero and finite magnetic fields up to 14 T, and as a function of both the carrier density and electric field perpendicular to the graphene sheet.…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 E. A. Henriksen , J. P. Eisenstein