Derivation of the Semi-circle Law from the Law of Corresponding States
Derivation of the Semi-circle Law from the Law of Corresponding States
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从对应州定律推导半圆定律
DOI：
10.1103/physrevb.62.15359
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发表时间：
1999
影响因子：
3.7
通讯作者：
B. Dolan
中科院分区：
文献类型：
--
作者：
C. Burgess;R. Dib;B. Dolan
我们证明，对于任何两个量子霍尔态之间的跃迁，半圆定律和对偶对称性的存在仅取决于相应状态定律与二维标度流的一致性。这为这两种效应奠定了坚实的理论基础，这意味着两者都应该精确地保持在零温度，而与微观电子动力学的细节无关。这一推导还表明，实验证据倾向于在整个转变过程中认真对待二维流，而不仅仅是在临界点附近。
We show that, for the transition between any two quantum Hall states, the semi-circle law and the existence of a duality symmetry follow solely from the consistency of the law of corresponding states with the two-dimensional scaling flow. This puts these two effects on a sound theoretical footing, implying that both should hold exactly at zero temperature, independently of the details of the microscopic electron dynamics. This derivation also shows how the experimental evidence favours taking the two-dimensional flow seriously for the whole transition, and not just near the critical points.