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物理学报 1991
ANDERSON TRANSITION IN THE AUBRY MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS
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Abstract:
Using numerical calculation, it is found that there are extended states, intermadiate states and localized states in the Aubry model of one-dimensional incommensurate systems. The transition from extended states to localized states should pass through a regime in which the intermadiate states exist. The regime is situated at aboubt the potential strength V=2t. The new result is different from that of duality theory which predicts that all states are extended for V<2t, while, for V>2t all states are localized, at V = 2t there exists Anderson transition.