一维无公度系统Aubry模型的迁移率边

MOBILITY EDGE IN THE AUBRY MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS

本文的工作表明:当波矢Q取足够小的值,在势强度V<2时,一维无公度系统Aubry模型存在迁移率边。当Q值趋于零时,迁移率边Ec=±│2-V│。这个结果不同于用对偶性理论给出的结论。

In this paper, we show that: when the wave vector Q is not infinitesimal but sufficiently small, there exist mobility edges in the region of V < 2 in the Aubry model of one-dimensional incommensurate systems. On the condition of Q tending to zero the mobility edges are Ec=±|2-V|, The result is different from that of duality theory.