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

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

2010-11-30

arxiv.org/abs/1011.6641v2

J.Phys.A44:175001,2011

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages; 7 figures

Scientific paper

10.1088/1751-8113/44/17/175001

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 beta-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.

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