论文标题
隐藏的二元性和偶然的二元性二元性和莫比乌斯环氧烯中的意外变性
Hidden duality and accidental degeneracy in cycloacene and Möbius cycloacene
论文作者
论文摘要
偶然的退化性出现在环氧烯中，当时是三胞胎和四倍体的分割概念来解释的，此处引入的目的是描述这些有机化合物上$π$轨道的有效断开。对于具有时间逆转对称性的周期系统，表明新兴的淋巴结结构域可将原子链分成更简单的碳结构，类似于苯环，dalyl链，蒽（Triacene）链和四甲基 - 萘烯烯烃骨骼形式。这些段的共同电子水平被确定为全球系统的退化多重组的成员。 Möbiuscycloacene的特殊变性也可以通过分割来解释。在最后一部分中，可以通过研究紧密结合模型的连续极限来预测环氧烯的多样性。退化条件是根据Chebyshev多项式提出的。这项工作中获得的结果对有机电线中电子传输的物理和人工实现产生了重要影响。
The accidental degeneracy appearing in cycloacenes as triplets and quadruplets is explained with the concept of segmentation, introduced here with the aim of describing the effective disconnection of $π$ orbitals on these organic compounds. For periodic systems with time reversal symmetry, the emergent nodal domains are shown to divide the atomic chains into simpler carbon structures analog to benzene rings, diallyl chains, anthracene (triacene) chains and tetramethyl-naphtalene skeletal forms. The common electronic levels of these segments are identified as members of degenerate multiplets of the global system. The peculiar degeneracy of Möbius cycloacene is also explained by segmentation. In the last part, it is shown that the multiplicity of energies for cycloacene can be foreseen by studying the continuous limit of the tight-binding model; the degeneracy conditions are put in terms of Chebyshev polynomials. The results obtained in this work have important consequences on the physics of electronic transport in organic wires, together with their artificial realizations.
