Termination of Multifractal behavior for Critical Disordered Dirac Fermions

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Abstract
We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or supersymmetry approaches. It is shown that the proper treatment of the conformal theory leads to a different multifractal scaling behavior than initially expected. Moreover, the previous replica solution is found to be incorrect at the level of higher correlation functions.
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