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 -