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We calculate the perpendicular electrical conductivity in twisted three-dimensional graphite (rotationally stacked graphite pieces) by using the effective continuum model and the recursive Green's function method. In the low twist angle…

Mesoscale and Nanoscale Physics · Physics 2023-10-27 Tenta Tani , Takuto Kawakami , Mikito Koshino

We study a transmission coefficient of graphene nanoribbons with a top gate which acts as an oblique barrier. Using a Green function method based on the Dirac-like equation, scattering among transverse modes due to the oblique barrier is…

Quantum Physics · Physics 2018-02-14 J. H. Oh , D. Ahn

In this article we consider a graphene sheet that is folded in various compact geometries with arbitrary topology described by a certain genus, $g$. While the Hamiltonian of these systems is defined on a lattice one can take the continuous…

Quantum Physics · Physics 2009-11-13 Jiannis K. Pachos , Agapitos Hatzinikitas , Michael Stone

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 R. R. Brandão , L. Moriconi

Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. We investigate electron-electron interaction effects in the zero-energy sector. We…

Strongly Correlated Electrons · Physics 2008-04-10 Motohiko Ezawa

Modeling nanoscale devices quantum mechanically is a computationally challenging problem where new methods to solve the underlying equations are in a dire need. In this paper, we present an approach to calculate the charge density in…

Numerical Analysis · Mathematics 2013-05-07 U. Hetmaniuk , Y. Zhao , M. P. Anantram

Graphene nanoribbons (GNRs) produced by means of bottom-up chemical self-assembly are considered promising candidates for the next-generation nanoelectronic devices. We address the electronic transport properties of angled two-terminal GNR…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Kristiāns Čerņevičs , Oleg V. Yazyev

Graphene's exceptional electronic mobility, gate-tunability, and contact transparency with superconducting materials make it ideal for exploring the superconducting proximity effect. However, the work function difference between graphene…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Seong Jang , Geon-Hyoung Park , Sein Park , Hyeon-Woo Jeong , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

Electron transport in a graphene quantum well can be analogous to photon transmission in an optical fiber. In this work, we present a detailed theoretical analysis to study the transport characteristics of graphene waveguides under the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Nayyar Abbas Shah , Vahid Mosallanejad , Kuei-Lin Chiu , Guo-ping Guo

We investigate transport properties of the junctions in which the graphene nanoribbon with the zigzag shaped edges consisting of the $N$ legs is sandwiched by the two normal metals by means of recursive Green's function method. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yoneko Mochizuki , Hideo Yoshioka

In the present paper, using Pseudo-Quantum Electrodynamics to describe the interaction between electrons in graphene, we investigate the longitudinal and optical conductivities of a neutral graphene sheet near a grounded perfectly…

High Energy Physics - Theory · Physics 2020-09-04 D. C. Pedrelli , D. T. Alves , V. S. Alves

The electronic transport properties through junctions in nanographite ribbons are investigated using the Landauer approach. In the low-energy regime ribbons with zigzag boundary have a single conducting channel of edge states. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Katsunori Wakabayashi , Manfred Sigrist

We present a method based on graph theory for evaluation of the inelastic propensity rules for molecules exhibiting complete destructive quantum interference in their elastic transmission. The method uses an extended adjacency matrix…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 Rudolf Sýkora , Tomáš Novotný

The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

Conduction graphs are defined here in order to elucidate at a glance the often complicated conduction behaviour of molecular graphs as ballistic molecular conductors. The graph $G^{\mathrm C}$ describes all possible conducting devices…

Combinatorics · Mathematics 2024-09-23 Aidan Birkinshaw , Patrick W. Fowler , Jan Goedgebeur , Jorik Jooken

Motivated by recent experimental results for zero-line modes (ZLMs) in a bilayer graphene system [Nature Nanotechnol. 11, 1060 (2016)], we systematically studied the influence of a magnetic field on ZLMs and demonstrated the physical origin…

Mesoscale and Nanoscale Physics · Physics 2018-06-25 Ke Wang , Tao Hou , Yafei Ren , Zhenhua Qiao

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

Recent advances in experimental techniques emphasize the usefulness of multiple scanning probe techniques when analyzing nanoscale samples. Here, we analyze theoretically dual-probe setups with probe separations in the nanometer range,…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Mikkel Settnes , Stephen R. Power , Dirch H. Petersen , Antti-Pekka Jauho

Mapping the thermal transport properties of materials at the nanoscale is of critical importance for optimizing heat conduction in nanoscale devices. Several methods to determine the thermal conductivity of materials have been developed,…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Oliver Braun , Roman Furrer , Pascal Butti , Kishan R. Thodkar , Ivan Shorubalko , Ilaria Zardo , Michel Calame , Mickael L. Perrin

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