Frequency Dependent Conductivity of the Fibonacci-Chain

2001/11/09 by Dieter Walther, Walther, Dieter, Ralph v. Baltz +2
Materials Science · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quasicrystal Structures and Properties #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/0111155

10 pages, 5 figures. To appear in: Journal of Low Temperature Physics, March 2002

arxiv created 2001/11/09 · openalex publication_date 2001/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A real-space renormalization method for the frequency dependent conductivity of the periodic approximants of the Fibonacci chain is developed. This scheme is based on the known 2x2 transfer matrices and additional 5x5 matrices which allow an efficient numerical evaluation of the Kubo formula.

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