碳纳米管的超对称扭曲
Supersymmetric twisting of carbon nanotubes
摘要：
利用矩阵达布变换，构造了扭曲碳纳米管的超对称精确可解模型。我们推导出这些系统的格林函数，并计算出局域态密度。扭曲的碳纳米管的显着的例子产生，其中的背散射被抑制和束缚态存在。我们发现在束缚态局域化的区域，局域态密度减小。确定了束缚态能量对纳米管的渐近扭转的依赖关系。我们还证明了每一个构造的非扩张一阶矩阵系统都具有一个适当的非线性隐超对称结构和一个非平凡的分次算子。
英文摘要：
We construct exactly solvable models of twisted carbon nanotubes via supersymmetry, by applying the matrix Darboux transformation. We derive the Green's function for these systems and compute the local density of states. Explicit examples of twisted carbon nanotubes are produced, where the back-scattering is suppressed and bound states are present. We find that the local density of states decreases in the regions where the bound states are localized. Dependence of bound-state energies on the asymptotic twist of the nanotubes is determined. We also show that each of the constructed unextended first order matrix systems possesses a proper nonlinear hidden supersymmetric structure with a nontrivial grading operator.
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