J. Phys. Soc. Jpn. 91, 124702 (2022) [5 Pages]
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Optical Response of the Tightbinding Model on the Fibonacci Chain

Hiroki Iijima, Yuta Murakami , and Akihisa Koga
+ Affiliations
Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
Received March 11, 2022; Accepted October 4, 2022; Published November 1, 2022

We theoretically study the optical conductivity of the tightbinding model which has two types of the hopping integrals arranged in the Fibonacci sequence. Due to the lack of the translational symmetry, many peak structures appear in the optical conductivity as well as the density of states. When the ratio of two hopping integrals is large, the self-similar structure appears in the optical conductivity. This implies that the optical response between the high-energy bands is related to that within the low-energy bands, which should originate from critical behavior in the wave functions. The effects of disorders on the optical conductivity are also analyzed in order to show the absence of the self-similarity in the tightbinding model with the random sequence.

©2022 The Physical Society of Japan
https://doi.org/10.7566/JPSJ.91.124702

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