Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
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DOI：
10.7566/jpsj.86.013702
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发表时间：
2016-10
影响因子：
1.7
通讯作者：
R. Okuyama;W. Izumida;M. Eto
中科院分区：
文献类型：
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作者：
R. Okuyama;W. Izumida;M. Eto
通过施加与管平行的磁场 B，从理论上研究了金属单壁碳纳米管 (SWNT) 中的拓扑相变。当小带隙在 B 的临界值处闭合时，\(\mathbb{Z}\) 拓扑不变量、绕数会不连续地变化，这可以观察为由于体边缘对应而导致的边缘态数量的变化。通过对长度约 1 µm 的有限单壁碳纳米管进行数值计算证实了这一点，使用一维晶格模型有效地描述了 σ 和 π 轨道之间的混合以及自旋轨道相互作用，这些与金属单壁碳纳米管中带隙的形成有关。
The topological phase transition is theoretically studied in a metallic single-wall carbon nanotube (SWNT) by applying a magnetic field B parallel to the tube. The \(\mathbb{Z}\) topological invariant, winding number, is changed discontinuously when a small band gap is closed at a critical value of B, which can be observed as a change in the number of edge states owing to the bulk-edge correspondence. This is confirmed by numerical calculations for finite SWNTs of ∼1 µm length, using a one-dimensional lattice model to effectively describe the mixing between σ and π orbitals and spin–orbit interaction, which are relevant to the formation of the band gap in metallic SWNTs.