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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

We study conductance across a twisted bilayer graphene coupled to single-layer graphene leads in two setups: a flake of graphene on top of an infinite graphene ribbon and two overlapping semi-infinite graphene ribbons. We find conductance…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Hadi Z. Olyaei , Bruno Amorim , Pedro Ribeiro , Eduardo V. Castro

Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

This study theoretically investigates the contact conductance in twisted bilayer graphene (TBG), providing a theoretical explanation for recent experimental observations from scanning tunneling microscopy (STM) and conductive atomic force…

Mesoscale and Nanoscale Physics · Physics 2025-06-30 Kevin J. U. Vidarte , Caio Lewenkopf , F. Crasto de Lima , R. Hiroki Miwa , Felipe Pérez Riffo , Eric Suárez Morell

We describe how to apply the recursive Green's function method to the computation of electronic transport properties of graphene sheets and nanoribbons in the linear response regime. This method allows for an amenable inclusion of several…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Caio H. Lewenkopf , Eduardo R. Mucciolo

We present exact results for the electronic transport properties of graphene sheets connected to two metallic electrodes. Our results, obtained by transfer-matrix methods, are valid for all sheet widths and lengths. In the limit of large…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Shijie Hu , Wei Du , Guiping Zhang , Miao Gao , Zhong-Yi Lu , Xiaoqun Wang

We numerically calculate the optical conductivity of twisted graphene bilayers within the continuum model. To obtain the imaginary part, we employ the regularized Kramers-Kronig relation allowing us to discuss arbitrary twist angles,…

Mesoscale and Nanoscale Physics · Physics 2013-12-03 Tobias Stauber , Pablo San-Jose , Luis Brey

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

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $\theta$,…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Omid Faizy Namarvar , Ahmed Missaoui , Laurence Magaud , Didier Mayou , Guy Trambly de Laissardière

We present a rigorous and rather self-contained analysis of the Verdet constant in graphene- like materials. We apply the gauge-invariant magnetic perturbation theory to a nearest- neighbour tight-binding model and obtain a relatively…

Mathematical Physics · Physics 2013-02-22 Mikkel H. Brynildsen , Horia D. Cornean

We theoretically investigate the electronic transport properties of curved graphene waveguides by employing non-equilibrium Green's function techniques. We systematically study the dependence of the confined waveguide modes on the potential…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Vahid Mosallanejad , Ke Wang , Zhenhua Qiao , Guoping Guo

Straintronic devices made of carbon-based materials have been pushed up due to the graphene high mechanical flexibility and the possibility of interesting changes in transport properties. Properly designed strained systems have been…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 V. Torres , D. Faria , A. Latgé

We investigate the conductance of an undoped graphene sheet with two metallic contacts and an electrostatically gated island (quantum dot) between the contacts. Our analysis is based on the Matrix Green Function formalism, which was…

Mesoscale and Nanoscale Physics · Physics 2011-10-05 Martin Schneider , Piet W. Brouwer

Magic-angle twisted bilayer graphene exhibits quasi-flat low-energy bands with Van Hove singularities close to the Fermi level. These singularities play an important role in the exotic phenomena observed in this material, such as…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Aleksander Sanjuan Ciepielewski , Jakub Tworzydło , Timo Hyart , Alexander Lau

We theoretically study the electrical, thermal and thermoelectric transport properties of graphene nanoribbons under torsional deformations. The modelling follows a nonequilibrium Green's function approach in the ballistic transport regime,…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Aleandro Antidormi , Miquel Royo , Riccardo Rurali

In this work we analyze the shift current conductivity in helical twisted trilayer graphene. Without loss of generality, we show that the density of states and the twist angle set an upper bound for this response, which is inversely…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Yuncheng Mao , Claudio Attaccalite , Diego García Ovalle

Thermal conductivity of homogeneous twisted stacks of graphite is found to strongly depend on the misfit angle. The underlying mechanism relies on the angle dependence of phonon-phonon couplings across the twisted interface. Excellent…

Mesoscale and Nanoscale Physics · Physics 2020-10-19 Wengen Ouyang , Huasong Qin , Michael Urbakh , Oded Hod

The mechanisms of optical activity and quantum transport of twisted bilayer graphene are studied. The formation of unique electron states in the bilayer systems is studied using an effective continuum model. Such states are shown to support…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 S. Ta Ho , V. Nam Do

We investigate the low-energy electronic transport across grain boundaries in graphene ribbons and infinite flakes. Using the recursive Green's function method, we calculate the electronic transmission across different types of grain…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 C. J. Páez , J. N. B. Rodrigues , A. L. C. Pereira , N. M. R. Peres
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