Burgess, C. P. and Dib, Rim and Dolan, Brian P. (2000) Derivation of the semicircle law from the law of corresponding states. Physical Review B, 62 (15359). ISSN 1098-0121

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Abstract

We show that, for the transition between any two quantum Hall states, the semicircle 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 favors taking the two-dimensional flow seriously for the whole transition, and not just near the critical points.

Item Type:	Article
Keywords:	Derivation; semicircle law; law of corresponding states; quantum Hall states;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	10494
Identification Number:	https://doi.org/10.1103/PhysRevB.62.15359
Depositing User:	Dr. Brian Dolan
Date Deposited:	15 Feb 2019 17:28
Journal or Publication Title:	Physical Review B
Publisher:	American Physical Society
Refereed:	Yes
URI:	https://journals.aps.org/prb
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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