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期刊论文
Structure of electronic energy spectra of one-dimensional nonperiodic lattices
PHYSICAL REVIEW B 15 VOLUME 53, NUMBER 4 JANUARY 1996-II,-0001,():
We use degenerate perturbation theory to study the electronic energy spectra of one-dimensional general two-component Fibonacci lattices, the three-component Fibonacci (3CF) lattice, and its generalizations [threecomponent silver mean (3CSM), three-component copper mean (3CCM)], and the three-component Thue-Morse (3CTM) lattice in the strong modulation regime. To first order in the small parameter t/V, where t is a hopping integral and V is the magnitude of the on-site energy, we obtain the six and five global subband structures of the two-component silver-mean and copper-mean lattices, and the six, seven, seven, and nine global subband structures of the 3CF, 3CSM, 3CCM, and 3CTM lattices, respectively. Further splitting of the subbands appeared when considering the second-order correction. The quantitative predictions for the density of states of these lattices are in good agreement with the numerical results obtained by exact diagonalization.
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