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Electronic and Vibrational Properties of One‐Dimensional Quasi‐Crystals
Author(s) -
He H.
Publication year - 1987
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.2221440221
Subject(s) - fibonacci number , k nearest neighbors algorithm , tight binding , eigenvalues and eigenvectors , phonon , electronic structure , condensed matter physics , nearest neighbour , square (algebra) , crystal (programming language) , sequence (biology) , physics , materials science , quantum mechanics , mathematics , chemistry , combinatorics , computer science , geometry , artificial intelligence , programming language , biochemistry
The electronic structure of a one‐dimensional quasi‐crystal in the form of a Fibonacci sequence in tight‐binding model is extended to include next nearest neighbor couplings in addition to the nearest neighbor couplings previously included. The vibrational properties are also studied using negative eigenvalue theorem. The results of density of electronic states and square phonon frequencies are presented.