DMPK Equation for Transmission Eigenvalues in Metallic Carbon Nanotubes
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- Takane Yositake
- Department of Quantum Matter, Graduate School of Advanced Sciences of Matter, Hiroshima University
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The Dorokhov–Mello–Pereyra–Kumar (DMPK) equation for transmission eigenvalues is derived for metallic carbon nanotubes with several conducting channels when the potential range of scatterers is larger than the lattice constant. With increasing system length L, the system approaches a fixed point, where only one channel is perfectly conducting and other channels are completely closed. The asymptotic behavior of the conductance in the long-L regime is investigated on the basis of the DMPK equation. It is shown that the length scale for the exponential decay of the typical conductance is reduced due to the presence of the perfectly conducting channel. If a magnetic field is applied, the system falls into the unitary class. It is pointed out that this transition is characterized by the disappearance of the perfectly conducting channel and the increase in decay length for the typical conductance.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 73 (1), 9-12, 2004
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679163395200
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- NII論文ID
- 110001954683
- 130004538507
- 210000105336
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- NII書誌ID
- AA00704814
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- BIBCODE
- 2004JPSJ...73....9T
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 6817242
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可