Theory of Transport in Carbon Nanotube Systems

碳纳米管系统中的输运理论

• 批准号: 13640320
• 负责人: ANDO Tsuneya
• 金额: $ 2.11万
• 依托单位: Tokyo Institute of Technology (2002-2003)The University of Tokyo (2001)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640320/
• 关键词: Carbon Nanotube; Conductance; Inelastic scattering; Cap; Effective-mass approximation; Perfect transmission; Neutrino; Topology; 2次元グラファイト; 量子細線; Weylの方程式; 強束縛模型

A carbon nanotube is composed of concentric tubes of rolled two-dimensional graphite sheets, on which hexagons are arranged in a helical fashion about the axis. The diameter of a multi-wall nanotube ranges from 2 to 30 nm and that of a single-wall nanotube lies between 0.7 and 1.6 nm. The maximum length of nanotubes exceeds 1 um. Since the first discovery quite a number of studies have been reported on their electronic properties because of their unique topological structures. The purpose of this project is to study quantum transport in carbon nanotubes and their composite systems with special emphasis on topology of nanotubes.The subjects include an effective-mass description of electronic states and close relationship with neutrino physics, absence of backward scattering except for scatterers with a potential range smaller than the lattice constant, the presence of a perfectly transmitting channel when several bands coexist at the Fermi level, and its sensitivity to the presence of inelastic scattering limiting the phase coherence length. The transport of a nanotube containing topological defects such as a Stone-Wales defect and five-and seven-membered rings at a junction of nanotubes have also been clarified. The study has been extended toward electronic states of nanotube caps and their topological aspects and interaction effects on the band structure of semiconducting and metallic nanotubes.

碳纳米管是由二维石墨片制成的同心管组成，其上的六边形围绕轴以螺旋方式排列。多壁纳米管的直径范围为2至30 nm，单壁纳米管的直径范围为0.7至1.6 nm。纳米管的最大长度超过1 μ m。由于其独特的拓扑结构，自首次发现以来，人们对其电子性质进行了大量的研究。本项目的目的是研究碳纳米管及其复合体系中的量子输运，重点研究碳纳米管的拓扑结构，包括电子态的有效质量描述及其与中微子物理的密切关系，除了势程小于晶格常数的散射体外，没有后向散射，一个完美的传输通道的存在时，几个频带共存的费米能级，其敏感性的非弹性散射限制相位相干长度的存在。含有拓扑缺陷（例如斯通-威尔士缺陷）以及纳米管接合处的五元环和七元环的纳米管的传输也已得到澄清。该研究已扩展到电子状态的纳米管帽和它们的拓扑方面和相互作用的半导体和金属纳米管的能带结构。

项目成果

T.Nakanishi: "Conductance of Crossed Carbon Nanotubes"J. Phys. Soc. Jpn.. 70・6. 1647-1658 (2001)

T. Nakanishi：“交叉碳纳米管的电导” J. Phys. 70・6（2001）

T.Yaguchi: "Topological Effects in Capped Carbon Nanotubes"J. Phys. Soc. Jpn.. 70・12. 3641-3649 (2001)

T. Yaguchi：“封端碳纳米管的拓扑效应” J. Phys. Jpn. 70・12 (2001)

酒井 英明, 鈴浦 秀勝, 安藤 恒也: "Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes"J.Phys.Soc.Jpn.. 72. 1698-1705 (2003)

Hideaki Sakai、Hidekatsu Suzuura、Tsuneya Ando：“半导体碳纳米管能带结构中电子关联的有效质量理论”J.Phys.Soc.Jpn.. 72. 1698-1705 (2003)

H.Sakai, H.Suzuura, T.Ando: "Effective-Mass Theory of Electron Correlations in Band Structure of Semiconducting Carbon Nanotubes"J.Phys.Soc.Jpn.. 72. 1698-1705 (2003)

H.Sakai、H.Suzuura、T.Ando：“半导体碳纳米管能带结构中电子关联的有效质量理论”J.Phys.Soc.Jpn.. 72. 1698-1705 (2003)

安藤 恒也: "Carbon Nanotubes as a Perfectly Conducting Cylinder"Int.J.High Speed Electron.Systems. 13. 849-871 (2003)

安藤恒哉：“碳纳米管作为完美导电的圆柱体”Int.J.High Speed Electro.Systems 13. 849-871 (2003)