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Ballistic semiconductor structures have allowed the realization of optics-like phenomena in electronics, including magnetic focusing and lensing. An extension that appears unique to graphene is to use both n and p carrier types to create…

Mesoscale and Nanoscale Physics · Physics 2011-04-27 J. R. Williams , Tony Low , M. S. Lundstrom , C. M. Marcus

We performed a series of theoretical transport studies on Y-branch electron waveguides which are embedded in mid-size armchair graphene nanoribbons (AGNRs). Non-equilibrium Greens function (NEGF) with different approximations of…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Vahid Mosallanejad , Kuei-Lin Chiu , Guo-ping Guo

First-principles density functional theory (DFT) study of embedding V and Nb atom in monovacant and divacant graphene is reported. Complete/almost complete spin polarization is verified for V/Nb embedding in MV/DV graphene. The origin of…

Materials Science · Physics 2018-04-26 Jyoti Thakur , Manish K. Kashyap , Hardev S. Saini , Ali H. Reshak

Wrinkling is a ubiquitous phenomenon in two-dimensional membranes. In particular, in the large-scale growth of graphene on metallic substrates, high densities of wrinkles are commonly observed. Despite their prevalence and potential impact…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 Wenjuan Zhu , Tony Low , Vasili Perebeinos , Ageeth A. Bol , Yu Zhu , Hugen Yan , Jerry Tersoff , Phaedon Avouris

Atomically precise graphene nanoribbons (GNRs) have emerged as promising candidates for nanoelectronic applications due to their widely tunable energy band gaps resulting from lateral quantum confinement and edge effects. Here we report on…

Graphene has been proposed as a promising material for future nanoelectronics because of its unique electronic properties. Understanding the scaling behavior of this new nanomaterial under common experimental conditions is of critical…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Yang Sui , Tony Low , Mark Lundstrom , Joerg Appenzeller

Graphene two-dimensional nature combined with today lithography allows to achieve nanoelectronics devices smaller than the Dirac electrons wavelength. Here we show that in these graphene subwavelength nanodevices the electronic quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Valerio Olevano , Didier Mayou

We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can move in all the plane $\RR^2$, the model takes the form of a…

Analysis of PDEs · Mathematics 2013-10-28 Raymond El Hajj , Florian Méhats

The tuneability and control of quantum nanostructures in two-dimensional materials offer promising perspectives for their use in future electronics. It is hence necessary to analyze quantum transport in such nanostructures. Material…

Mesoscale and Nanoscale Physics · Physics 2022-11-01 Angelika Knothe , Leonid I. Glazman , Vladimir I. Fal'ko

A simple one-stage solution-based method was developed to produce graphene nanoribbons by sonicating graphite powder in organic solutions with polymer surfactant. The graphene nanoribbons were deposited on silicon substrate, and…

We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. A salient feature of our review is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 S. Das Sarma , Shaffique Adam , E. H. Hwang , Enrico Rossi

The Non-equilibrium Green's function (NEGF) formalism is a particularly powerful method to simulate the quantum transport properties of nanoscale devices such as transistors, photo-diodes, or memory cells, in the ballistic limit of…

Graphene is the first truly two-dimensional (2D) material, possessing a cone-like energy spectrum near the Fermi energy and treated as a gapless semiconductor. Its unique properties trigger researchers to find more applications of it, such…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Wei-Bang Li , Yu-Ming Wang , Hsien-Ching Chung , Ming-Fa Lin

We develop a theory for density, disorder, and temperature dependent electrical conductivity of bilayer graphene in the presence of long-range charged impurity scattering as well as an additional short-range disorder of independent origin,…

Mesoscale and Nanoscale Physics · Physics 2010-04-21 S. Das Sarma , E. H. Hwang , E. Rossi

We outline a Kohn-Sham-Dirac density-functional-theory (DFT) scheme for graphene sheets that treats slowly-varying inhomogeneous external potentials and electron-electron interactions on an equal footing. The theory is able to account for…

Strongly Correlated Electrons · Physics 2008-09-23 Marco Polini , Andrea Tomadin , Reza Asgari , A. H. MacDonald

We describe numerical solutions of two non potential models of pattern formation in nonequilibrium systems to address the motion and decay of grain boundaries separating domains of stripe configurations of different orientations. We first…

Soft Condensed Matter · Physics 2009-11-11 Zhi-Feng Huang , Jorge Vinals

A systematics of grain boundary (GB) segregation transitions and critical phenomena has been derived to expand the classical GB segregation theory. Using twist GBs as an example, this study uncovers when GB layering vs. prewetting…

Materials Science · Physics 2022-01-20 Naixie Zhou , Chongze Hu , Jian Luo

We demonstrate a first-principles method to study magnetotransport in materials by solving the Boltzmann transport equation (BTE) in the presence of an external magnetic field. Our approach employs ab initio electron-phonon interactions and…

Materials Science · Physics 2021-04-14 Dhruv C. Desai , Bahdan Zviazhynski , Jin-Jian Zhou , Marco Bernardi

We simulate the electronic and transport properties of metal/two-dimensional material/metal vertical heterostructures, with a focus on graphene, hexagonal boron nitride and two phases of molybdenum diselenide. Using density functional…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Gaëlle Bigeard , Zineb Kerrami , François Triozon , Alessandro Cresti

Due to their unique electrical properties, graphene nanoribbons (GNRs) show great promise as the building blocks of novel electronic devices. However, these properties are strongly dependent on the geometry of the edges of the graphene…

Mesoscale and Nanoscale Physics · Physics 2012-08-17 Patrick Hawkins , Milan Begliarbekov , Marko Zivkovic , Stefan Strauf , Christopher P. Search