Open AccessANDERSON TRANSITION IN THE AUBRY MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS
Author(s) -
Jianping Sun,
ChuanKui Wang
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.469
Subject(s) - physics , condensed matter physics , situated , duality (order theory) , anderson impurity model , anderson localization , state (computer science) , quantum mechanics , statistical physics , mathematics , pure mathematics , artificial intelligence , computer science , electron , algorithm
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 V2t all states are localized, at V = 2t there exists Anderson transition.