Fibonacci泛准晶的声子局部性质

LOCAL PHONON PROPERTIES OF GENERALIZED FIBONACCI QUASICRYSTALS

本文发展了一种新的实空间重正化群方法,精确地求解泛Fibonacci准晶关于对角、非对角、混合紧束缚模型的声子局部格林函数和局部态密度.结果表明.在ω→O的低频区,其声子局部态密度与准晶结构的非周期性无关;而在ω>1的中高频区,其声子局部态密度与泛Fibonacci准晶的结构特征密切相关。

The athors develop a new real-space renormalizationgroup approach to study exactly phonon local Green's function and localdensity of states at any given site in generalized Fibonacci quasicrystalsfor the diagonal,off-diagonal and combined tight-binding models.Itis shown that,at the low-frequency region with ω→0 local phonondensity of states of generalized Fibonacci is almost similar to that ofthe periodic crystals,and local phonon density of states of differentgeneralized Fibonacci quasicrystals is mucn different as ω>1,i.e.,fora generalized Finonacci quasicrystais,local,phonon density of states isconnected with its geometry structures.