Quasiperiodic Modulated-Spring Model

Journal of the Physical Society of Japan

Volumn 65, Issue 12, 1996, Pages 3915-3919

  Hiramoto, Hisashi ^a   Kohmoto, Mahito ^b  

^a NIHON UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Absolutely continuous spectrum; Lattice vibration; Modulated spring model; Quasiperiodic system; Singular continuous spectrum

Indexed keywords

EID: 0030336606     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.3915     Document Type: Article

References (17)

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17. Note that, when Δ = 1, k's for certain j's become exactly zero if n = 3m + 1 (m: integer). Since the infinitely long chain is divided into finite chains in this case all the modes are trivially localized and δ's are zero. This is caused by the choice θ = 0 in (2.2) and is not a generic feature. Thus we disregard the data for n = 3m + 1 when Δ = 1.0.