【摘要】 本文研究一种广义Fibonacci准周期链(孪生子模型)的电子及声子谱。重整化群分析表明,电子能谱具有3分支的自相似结构,但每一层中的中间子带又类似于周期系统。数值计算结果证明这种分析的正确性。对于声子谱,则显示出与Fibonacci链相同的性质。更多还原

【Abstract】 This paper is devoted to the study of electronic and phonon spectra of a kind of generalized Fibonacci quasiperiodic chain (Twins model). Renormalization group results show that the electronic spectrum has a trifurcating selfs milar structure but the middle subbends in every hierarchy are similar to spetral structure of the periodic systems. The analysis is confirmed by numerical results. While the phoson spectrum shows the same spectral structure as that of the Fibonacci chain.更多还原