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Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect

Dolan, Brian P. (2011) Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 44 (17501). pp. 1-11. ISSN 1751-8121

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Abstract

It is shown that the flow diagrams for the conductivities in the quantum Hall effect, arising from two ostensibly very different proposals based on modular symmetry, are in fact identical. The β-functions are different, the rate at which the flow lines are traversed are different, but the tangents to the flow lines are the same in both cases, hence the flow diagrams are same in all aspects.

Item Type: Article
Keywords: Holomorphic; anti-holomorphic; conductivity flows; quantum Hall effect;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2608
Identification Number: doi: 10.1088/1751-8113/44/17/175001
Depositing User: Dr. Brian Dolan
Date Deposited: 15 Jul 2011 13:20
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Publisher: Institute of Physics Publishing Ltd
Refereed: No
URI:

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