### Abstract

Dynamical trace map of the tight-binding model is investigated for the generalized Fibonacci lattice characterized by the stacking rule S(n+1)=S(n)^{p}S(n-1)^{q} with p,q integers, where S(n) is the atomic sequence of the n-th generation. An expression is found of a quasi-invariant which is valid for any set of (p,q) and also of the invariant of the trace map for q=1 and q=p+1. Average density of states is calculated for p=2, q=1, 2 and 3.

Original language | English |
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Pages (from-to) | 751-755 |

Number of pages | 5 |

Journal | Solid State Communications |

Volume | 77 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1991 Mar |

### ASJC Scopus subject areas

- Chemistry(all)
- Condensed Matter Physics
- Materials Chemistry

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## Cite this

Inoue, M., Takemori, T., & Miyazaki, H. (1991). Generalized Fibonacci lattice dynamical trace map, invariant and quasi-invariant.

*Solid State Communications*,*77*(10), 751-755. https://doi.org/10.1016/0038-1098(91)90569-H