Crossover from quantum to Boltzmann transport in graphene

Shaffique Adam; Piet W. Brouwer; S. Das Sarma

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Crossover from quantum to Boltzmann transport in graphene

机译：石墨烯从量子传输到玻尔兹曼传输的交叉

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摘要

We compare a fully quantum-mechanical numerical calculation of the conductivity of graphene to the semiclassical Boltzmann theory. Considering a disorder potential that is smooth on the scale of the lattice spacing, we find quantitative agreement between the two approaches away from the Dirac point. At the Dirac point the two theories are incompatible at weak disorder, although they may be compatible for strong disorder. Our numerical calculations provide a quantitative description of the full crossover between the quantum and semiclassical graphene transport regimes.

机译：我们将石墨烯电导率的完全量子力学数值计算与半经典玻耳兹曼理论进行了比较。考虑到在晶格间距的尺度上平滑的无序势，我们发现两种方法之间的定量一致性远离狄拉克点。在狄拉克点，这两种理论在弱障碍中是不相容的，尽管它们在强障碍中可能是相容的。我们的数值计算定量地描述了量子和半经典石墨烯传输体系之间的交叉。

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来源
《Physical review》 |2009年第20期|201404.1-201404.4|共4页
作者
Shaffique Adam; Piet W. Brouwer; S. Das Sarma;
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作者单位

Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA;

Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

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原文格式 PDF
正文语种 eng
中图分类
关键词
electronic transport in mesoscopic systems; theory of electronic transport; scattering mechanisms; electronic transport in interface structures; carbon; diamond; graphite;

机译：介观系统中的电子传输;电子运输理论;散射机制接口结构中的电子传输;碳;钻石;石墨;

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1. Effects of symmetry crossover in quantum transport in graphene and nanotubes [J] . Tsuneya Ando Philosophical transactions of the Royal Society. Mathematical, physical, and engineering sciences . 2008,第1863期

机译：对称交叉对石墨烯和纳米管中量子传输的影响
2. Quantum Mechanical Correction of Potential in Boltzmann Transport Equation for Quantum Transport Modeling [J] . H. Tsuchiya, T. Miyoshi Microelectronic Engineering . 1999,第1a4期

机译：用于玻尔兹曼输运方程的势能的量子力学校正
3. Edge scattering of electrons in graphene: Boltzmann equation approach to the transport in graphene nanoribbons and nanodisks [J] . V. K. Dugaev, M. I. Katsnelson Physical review . 2013,第23期

机译：石墨烯中电子的边缘散射：玻尔兹曼方程方法在石墨烯纳米带和纳米盘中的传输
4. Analysis of quasi-ballistic hole transport capability of Ge and Si nanowire pMOSFETs by a quantum-corrected Boltzmann transport equation [C] . Hajime Tanaka, Jun Suda, Tsunenobu Kimoto International Conference on Simulation of Semiconductor Processes and Devices . 2017

机译：通过量子校正的玻耳兹曼输运方程分析Ge和Si纳米线pMOSFET的准弹道空穴传输能力
5. GENERALIZATION OF CHAPMAN-ENSKOG SOLUTION TO THE QUANTUM BOLTZMANN TRANSPORT EQUATION AND SOME APPLICATIONS [D] . JAMSHIDIPOUR, MOSSAYEB. 1980

机译：Chapman-Enskog解决方案对Quantum Boltzmann传输方程的概括和一些应用
6. Fabry–Pérot resonances and a crossover to the quantum Hall regime in ballistic graphene quantum point contacts [O] . Nurul Fariha Ahmad, Katsuyoshi Komatsu, Takuya Iwasaki, -1

机译：弹道石墨烯量子点接触中的法布里-珀罗共振和量子霍尔态的交叉
7. Crossover from quantum to Boltzmann transport in graphene [O] . Adam, Shaffique, Brouwer, Piet W., Sarma, S. Das 2009

机译：从石墨烯中的量子到玻尔兹曼输运的交叉
8. Seimiclassical Boltzmann Transport Theory for Graphene Multilayers [R] . Min, H., Jain, P., Adam, S., 2011

机译：石墨烯多层膜的seimiclassical Boltzmann输运理论

Crossover from quantum to Boltzmann transport in graphene

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