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Self‐Similarity of the Density of States of Electron and Phonon Models in Fibonacci Chains. An Analytic Study
Author(s) -
Böttger H.,
Kasner G.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221580113
Subject(s) - fibonacci number , similarity (geometry) , trace (psycholinguistics) , phonon , self similarity , transfer matrix method (optics) , tight binding , condensed matter physics , physics , density of states , transfer matrix , statistical physics , spectrum (functional analysis) , electron , matrix (chemical analysis) , quantum mechanics , mathematics , materials science , electronic structure , combinatorics , computer science , geometry , artificial intelligence , image (mathematics) , linguistics , philosophy , composite material , computer vision
For periodic one‐dimensional phonon and tight‐binding electron models, the densities of states are expressed through the trace of the dynamic transfer matrix. The resulting formulae are used for studying the self‐similarity of the spectrum of Fibonacci chains.