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Towards a Field Theory of the Plateau Transition

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arxiv cond-mat/9912060 v4 pith:PXAB76P5 submitted 1999-12-03 cond-mat hep-th

M.J.Bhaseen , I.I.Kogan , O.A. Soloviev , N. Taniguchi , A.Tsvelik This is my paper · ORCID
classification cond-mathep-th
keywords correlationfunctionslocalequationmodelplateauagreementappropriately
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abstract

We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the Integer Quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL($2,{\Bbb C}$)/SU(2) WZNW model (at the usual Ka{\v c}--Moody point and with the level $6 \leq k \leq 8$). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results.

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  1. Analytic Bootstrap for Logarithmic CFT

    hep-th 2019-08 conditional novelty 6.0 of 10

    The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.

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