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We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. Two distinct QHE regimes are identified in the full energy band separated by a critical region with…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Ma , L. Sheng , R. Shen , M. Liu , D. N. Sheng

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

The electrostatic confinement of massless charge carriers is hampered by Klein tunneling. Circumventing this problem in graphene mainly relies on carving out nanostructures or applying electric displacement fields to open a band gap in…

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

We investigate quantum transport in graphene/InSe heterostructures and find major asymmetries in the longitudinal resistance ($R_{xx}$) and vanishing $R_{xx}$ peaks at high magnetic fields, particularly at the charge-neutrality point. Our…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Wenxue He , Shijin Li , Jinhao Cheng , Yingpeng Zhang , Kaixuan Fan , Jiabo Liu , Shuaishuai Ding , Wenping Hu , Fan Yang , Chen Wang , Qing-Feng Sun , Hechen Ren

Recent experiments have reported evidence of dominant electron-hole scattering in the electric conductivity of suspended bilayer graphene near charge neutrality. According to these experiments, plots of the electric conductivity as a…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Mohammad Zarenia , Shaffique Adam , Giovanni Vignale

We numerically study the disorder effect on the thermoelectric and thermal transport for bilayer graphene under a strong perpendicular magnetic field. In the unbiased case, we find that the thermoelectric transport has similar properties as…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 R. Ma , L. Zhu , L. Sheng , M. Liu , D. N Sheng

The connected system of Boltzman equations for the interacting system of electrons, positrons and photons in high external electric E and arbitrary magnetic H fields is solved. The consideration is made under the conditions of arbitrary…

Condensed Matter · Physics 2007-05-23 Tofig M. Gassym

Electronic transport in the regime where carrier-carrier collisions are the dominant scattering mechanism has taken on new relevance with the advent of ultraclean two-dimensional materials. Here we present a combined theoretical and…

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 have surveyed the in-plane transport properties of the graphene twist bilayer using (i) a low-energy effective Hamiltonian for the underlying electronic structure, (ii) an isotropic elastic phonon model, and (iii) the linear Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 N. Ray , M. Fleischmann , D. Weckbecker , S. Sharma , O. Pankratov , S. Shallcross

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

The carrier mobility of a graphene double-layer system is evaluated on the basis of the Boltzmann transport theory. In this system, two graphene layers are separated by a dielectric barrier layer. We focus on the cases in which there is…

Mesoscale and Nanoscale Physics · Physics 2014-12-08 Kazuhiro Hosono , Katsunori Wakabayashi

The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

Due to Klein tunneling, electrostatic confinement of electrons in graphene is not possible. This hinders the use of graphene for quantum dot applications. Only through quasi-bound states with finite lifetime has one achieved to confine…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Hasan M. Abdullah , M. Van der Donck , H. Bahlouli , F. M. Peeters , B. Van Duppen

We describe charging a quantum dot induced electrostatically within a semiconducting graphene nanoribbon by electrons or holes. The applied model is based on a tight-binding approach with the electron-electron interaction introduced by a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 D. P. Żebrowski , B. Szafran

A model is developed describing the energy distribution of quasi-particles in a quasi-one dimensional, normal metal wire, where the transport is diffusive, connected between equilibrium reservoirs. When an ac bias is applied to the wire by…

Mesoscale and Nanoscale Physics · Physics 2017-02-20 Robbert-Jan Dikken

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion relation. The same phenomenon will be explained in terms of the more traditional composite bosons, which move…

Superconductivity · Physics 2016-01-18 Shigeji Fujita , Akira Suzuki

The multi-component nature of bilayer graphene (BLG), together with the ability to controllably tune between the various ground state orders, makes it a rich system in which to explore interaction driven phenomena. In the fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 J. I. A. Li , C. Tan , S. Chen , Y. Zeng , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean
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