TY - JOUR

T1 - Electronic Structure of Generalized Fibonacci Lattices. I. Invariant, Quasi-Invariant and Cyclic Orbits

AU - Inoue, Masahiro

AU - Takemori, Tadashi

AU - Miyazaki, Hiroshi

PY - 1991/1/1

Y1 - 1991/1/1

N2 - Dynamical trace-map of the tight-binding model is investigated by generalizing the stacking rule of the Fibonacci lattice. The recurrence relation is defined by D(n + l) =D(n)pD(n-1)q for positive integers p and q, where D(n) is the atomic sequence of the n-th generation. The structure of the dynamical trace-map is analyzed in terms of the invariant and the quasi-invariant of the map. Characteristic features of the wave function, local density of states and the average density of states are analyzed.

AB - Dynamical trace-map of the tight-binding model is investigated by generalizing the stacking rule of the Fibonacci lattice. The recurrence relation is defined by D(n + l) =D(n)pD(n-1)q for positive integers p and q, where D(n) is the atomic sequence of the n-th generation. The structure of the dynamical trace-map is analyzed in terms of the invariant and the quasi-invariant of the map. Characteristic features of the wave function, local density of states and the average density of states are analyzed.

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U2 - 10.1143/JPSJ.60.3460

DO - 10.1143/JPSJ.60.3460

M3 - Article

AN - SCOPUS:0642266474

SN - 0031-9015

VL - 60

SP - 3460

EP - 3474

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 10

ER -