大型无无序网络的Möbius变换和电子输运性质
Möbius transformations and electronic transport properties of large disorderless networks
摘要：
我们发现，关键的运输状态，绝缘和导电，大型规则网络的散射体可以描述一般由负和零李雅普诺夫指数，分别与连续的大小的系统的散射矩阵的莫比乌斯映射。导电相由弱混沌吸引子表示，这些吸引子与反常输运和遍历性破缺有关。我们的结论，验证了串行以及并行短截线和环结构，揭示了介观行为的自由度急剧减少的结果。
英文摘要：
We show that the key transport states, insulating and conducting, of large regular networks of scatterers can be described generically by negative and zero Lyapunov exponents, respectively, of Möbius maps that relate the scattering matrix of systems with successive sizes. The conductive phase is represented by weakly chaotic attractors that have been linked with anomalous transport and ergodicity breaking. Our conclusions, verified for serial as well as parallel stub and ring structures, reveal that mesoscopic behavior results from a drastic reduction of degrees of freedom.
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