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We study tunneling of charge carriers in single- and bilayer graphene. We propose an explanation for non-zero "magic angles" with 100% transmission for the case of symmetric potential barrier, as well as for their almost-survival for…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 V. Kleptsyn , A. Okunev , I. Schurov , D. Zubov , M. I. Katsnelson

We present a trajectory-resolved framework for charge transport in graphene and related two-dimensional carbon systems beyond the ideal ballistic and fully coherent limits. Transport is described by kinetic Monte Carlo hopping on a…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 J. P. Dadario Pereira , Raphael Tromer , Luiz A. Ribeiro Junior , Douglas S. Galvao

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 J. Fernandez-Rossier , J. J. Palacios , L. Brey

Gaussian deformation in graphene structures exhibits an interesting effect in which flower-shaped confinement states are observed in the deformed region [Carrillo-Bastos et al., Phys. Rev. B 90 041411 (2014)]. To exploit such a deformation…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Van-Truong Tran , Jérôme Saint-Martin , Philippe Dollfus

Most materials in available macroscopic quantities are polycrystalline. Graphene, a recently discovered two-dimensional form of carbon with strong potential for replacing silicon in future electronics, is no exception. There is growing…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Oleg V. Yazyev , Steven G. Louie

We propose an efficient numerical method to study the transport properties of armchair graphene ribbons in the presence of a generic external potential. The method is based on a continuum envelope-function description with physical boundary…

Mesoscale and Nanoscale Physics · Physics 2014-07-07 Demetrio Logoteta , Paolo Marconcini , Claudio Bonati , Maurizio Fagotti , Massimo Macucci

We have utilized the finite-difference approach to explore electron-tunneling properties in gapped graphene through various electrostatic-potential barriers changing from Gaussian to a triangular envelope function in comparison with a…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

We present a theoretical study on the electron transmission through the AB-BA stacking boundary in multilayer graphene. Using the tight-binding model and the transfer matrix method, we calculate the electron transmission probability through…

Materials Science · Physics 2015-08-05 Nguyen N. T. Nam , Mikito Koshino

The absence of a band-gap in graphene limits the gate modulation of its electron conductivity, both in regular graphene as well as in PN junctions, where electrostatic barriers prove transparent to Klein tunneling. We demonstrate a novel…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Redwan Sajjad , Avik Ghosh

We investigate the transmission of electrons between conducting nanoribbon leads oriented at multiples of 60 degrees with respect to one another, connected either directly or through graphene polygons. A mode-matching analysis suggests that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Iyengar , T. Luo , H. A. Fertig , L. Brey

Quantum spin Hall insulator/metal interfaces are formed in graphene ribbons with intrinsic spin-orbit coupling by selectively doping two regions creating a potential step. For a clean graphene ribbon, the transmission of the topological…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Elsa Prada , Georgo Metalidis

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

Transmission of electrons across a rectangular barrier of IV-VI semiconductor compounds is considered. Conduction electrons arrive at the barrier and are reflected or transmitted through it depending on the relative values of the barrier…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 P. Pfeffer , W. Zawadzki , K. Dybko

Tunneling of electrons through the barriers in heterostructures has been studied, within unified transfer matrix approach. The effect of barrier width on the transmission coefficient of the electrons has been investigated for different…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 Jatindranath Gain , Madhumita Das Sarkar , Sudakshina Kundu

In the case of the strongly deformed graphene, gapless graphene may turn to gapped graphene at the critical deformation. We find that, like semi-massless fermions, electrons in the deformed graphene, at the critical point, mimic the…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Bumned Soodchomshom

We investigate electron tunneling in AB bilayer graphene through a triple electrostatic barrier of heights $U_i (i=2,3,4)$ subjected to a perpendicular magnetic field. By way of the transfer matrix method and using the continuity conditions…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Mouhamadou Hassane Saley , Ahmed Jellal

Quantum interference in nano-electronic devices could lead to reduced-energy computing and efficient thermoelectric energy harvesting. When devices are shrunk down to the molecular level it is still unclear to what extent electron…

An exact expression of the transmission probability through a finite graphene superlattice with an arbitrary number of potential barriers $n$ is derived in two cases of the periodic potential: rectangular electric potential and…

Mesoscale and Nanoscale Physics · Physics 2015-02-20 C. Huy Pham , V. Lien Nguyen

We investigate the transport properties of charge carriers in AB bilayer graphene through a triple electrostatic barrier. We calculate the transmission and reflection using the continuity conditions at the interfaces of the triple barrier…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Mouhamadou Hassane Saley , Abderrahim El Mouhafid , Ahmed Jellal , Ahmed Siari

A new type of self-similar potential is used to study a multibarrier system made of graphene. Such potential is based on the traditional middle third Cantor set rule combined with a scaling of the barriers height. The resulting transmission…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 D. S. Díaz-Guerrero , L. M. Gaggero-Sager , I. Rodríguez Vargas , G. G. Naumis