论文标题
非线性拓扑toda Quasicrystal
Nonlinear topological Toda quasicrystal
论文作者
论文摘要
众所周知，拓扑边缘状态在某些准晶体中出现。我们通过将TODA晶格推广到包括调制的周期性跳，在非线性的情况下研究了拓扑准晶体，其中该周期与原始晶格不合理。发现准晶体中的拓扑边缘状态基于淬灭动力学而在非线性中生存。还发现，准晶体跳跃调制引起了扩展的重新定位跃迁。本模型可以通过具有可变电容二极管的传输线实验实现，其中电感是调制的。
Topological edge states are known to emerge in certain quasicrystals. We investigate a topological quasicrystal in the presence of nonlinearity by generalizing the Toda lattice to include modulated periodic hoppings, where the period is taken irrational to the original lattice. It is found that topological edge states in a quasicrystal survive against nonlinearity based on the quench dynamics. It is also found that an extended-localization transition is induced by the quasicrystal hopping modulation. The present model is experimentally realizable by a transmission line with variable capacitance diodes, where the inductance is modulated.
