一维无公度系统Aubry模型的Anderson转变

ANDERSON TRANSITION IN THE AUBRY MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS

数值计算结果表明,一维无公度系统Aubry模型存在扩展态、中间态和局域态。由扩展态向局域态的转变,要经过处于势强度v=2t附近的一段过渡区。这个新的结果不同于用对偶性理论证明给出的结论,即当势强度V<2t时都是扩展态,而当V>2t时都是局域态,在V=2t存在Anderson转变。

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.