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Solution of the Spectral Problem for (2m,m) Carbon Nanotubes by Green's Function Method
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2021-08-20 , DOI: 10.1002/pssb.202100264 Lyuba Malysheva 1
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2021-08-20 , DOI: 10.1002/pssb.202100264 Lyuba Malysheva 1
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The exact solution of the spectral problem for an infinite (2m,m) carbon nanotube (CNT) is obtained from the analytic solution to the Schrödinger equation for the tight-binding Hückel-type Hamiltonian. Explicit expressions for Green's functions of chiral (2m,m) CNTs are obtained and the electronic structure of these CNTs is discussed. The (2m,m) nanotubes with a medium-chiral angle equal to 19.1° are considered as an intermediate case between the thoroughly investigated achiral armchair and zigzag nanotubes.
中文翻译：
用格林函数法求解(2m,m)碳纳米管的光谱问题
无穷大 (2 m,m ) 碳纳米管 (CNT)的光谱问题的精确解是从紧束缚 Hückel 型哈密顿量的薛定谔方程的解析解中获得的。获得了手性 (2 m,m ) CNT 的格林函数的显式表达式，并讨论了这些 CNT 的电子结构。中等手性角等于 19.1°的 (2 m,m ) 纳米管被认为是经过彻底研究的非手性扶手椅和锯齿形纳米管之间的中间情况。
更新日期：2021-08-20
中文翻译：
用格林函数法求解(2m,m)碳纳米管的光谱问题
无穷大 (2 m,m ) 碳纳米管 (CNT)的光谱问题的精确解是从紧束缚 Hückel 型哈密顿量的薛定谔方程的解析解中获得的。获得了手性 (2 m,m ) CNT 的格林函数的显式表达式，并讨论了这些 CNT 的电子结构。中等手性角等于 19.1°的 (2 m,m ) 纳米管被认为是经过彻底研究的非手性扶手椅和锯齿形纳米管之间的中间情况。
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