We present a new type of localization phenomenon in a one-dimensional tight-binding model with a quasiperiodic potential Vₙ=tanh[Acos(2{π}{ω}n)]/tanhA, where {ω} is an irrational number. When A is small, the localization starts from the center of the spectrum at a value of {λ}; then the mobility edges move towards the edges of the spectrum with increasing {λ}; finally all the states become localized. This behavior is in contrast to the Anderson localization in three-dimensional random systems. When A is large, a more complicated behavior is found.
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Hiramoto et al. (1989) studied this question.
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