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We demonstrate that the low-frequency resistance fluctuations, or noise, in bilayer graphene is strongly connected to its band structure, and displays a minimum when the gap between the conduction and valence band is zero. Using…

Mesoscale and Nanoscale Physics · Physics 2010-06-09 Atindra Nath Pal , Arindam Ghosh

Carrier transport in gated 2D graphene monolayers is theoretically considered in the presence of scattering by random charged impurity centers with density $n_i$. Excellent quantitative agreement is obtained (for carrier density $n >…

Mesoscale and Nanoscale Physics · Physics 2007-10-09 E. H. Hwang , S. Adam , S. Das Sarma

Theory of spin-orbit coupling in bilayer graphene is presented. The electronic band structure of the AB bilayer in the presence of spin-orbit coupling and a transverse electric field is calculated from first-principles using the linearized…

Mesoscale and Nanoscale Physics · Physics 2012-03-28 Sergej Konschuh , Martin Gmitra , Denis Kochan , Jaroslav Fabian

Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band…

Mesoscale and Nanoscale Physics · Physics 2010-10-06 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

A perpendicular electric field breaks the layer symmetry of Bernal-stacked bilayer graphene, resulting in the opening of a band gap and a modification of the effective mass of the charge carriers. Using scanning tunneling microscopy and…

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

In solid state conductors, linear response to a steady electric field is normally dominated by Bloch state occupation number changes that are correlated with group velocity and lead to a steady state current. However, for a number of…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Dimitrie Culcer , Akihiko Sekine , Allan H. MacDonald

It is a fact that the minimal conductivity $\sigma_0$ of most graphene samples is larger than the well-established universal value for ideal graphene $4e^2/\pi h$; in particular, larger by a factor $\gtrsim\pi$. Despite intense theoretical…

Mesoscale and Nanoscale Physics · Physics 2012-06-29 J. J. Palacios

Recent experimental discovery of flavor symmetry breaking metallic phases in Bernal-stacked bilayer graphene points to the strongly interacting nature of electrons near the top (bottom) of its valence (conduction) band. Superconductivity…

Strongly Correlated Electrons · Physics 2023-06-23 Ming Xie , Sankar Das Sarma

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

Electronic and transport properties of bilayer heterostructure under light irradiation are of fundamental interest to improve functionality of optoelectronic devices. We theoretically study the modification of transport properties of…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 Pascal Stadler , Mikael Fogelström

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

The dynamical approach is applied to ballistic transport in mesoscopic graphene samples of length L and contact potential U. At times shorter than both relevant time scales, the flight time and \hslash/U, the major effect of the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. Lewkowicz , B. Rosenstein , D. Nghiem

The magnetic field-dependent longitudinal and Hall components of the resistivity rho_xx(H) and rho_xy(H) are measured in graphene on silicon dioxide substrates at temperatures from 1.6 K to room temperature. At charge densities near the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sungjae Cho , Michael S. Fuhrer

We investigated ultrafast carrier dynamics in graphene with near-infrared transient absorption measurement after intense half-cycle terahertz pulse excitation. The terahertz electric field efficiently drives the carriers, inducing large…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 Shuntaro Tani , François Blanchard , Koichiro Tanaka

A bipartite lattice with chiral symmetry is known to host zero energy flat bands if the numbers of the two sublattices are different. We demonstrate that this mechanism of producing flat bands can be realized on graphene by introducing…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Matheus S. M. de Sousa , Fujun Liu , Fanyao Qu , Wei Chen

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

We studied formation of charge density wave between valleys in a system with a double-well-like dispersive valence band relevant for the rhombohedral graphene trilayer. In a regime with 2 Fermi surfaces, electron- and hole-like: one of…

Strongly Correlated Electrons · Physics 2025-09-16 Igor V. Blinov

It is widely believed that carrier-density inhomogeneities ("electron-hole puddles") in single-layer graphene on a substrate like quartz are due to charged impurities located close to the graphene sheet. Here we demonstrate by using a…

Mesoscale and Nanoscale Physics · Physics 2012-05-18 Marco Gibertini , Andrea Tomadin , Francisco Guinea , Mikhail I. Katsnelson , Marco Polini

We present the results of the calculations of longitudinal and Hall conductivities of AB-stacked bilayer graphene as a function of frequency, finite chemical potential, temperature both with and without magnetic fields on a base of 2- and…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 V. P. Gusynin , S. G. Sharapov , A. A. Reshetnyak