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Termination of Multifractal Behaviour for Critical Disordered Dirac Fermions

J. -S. Caux·N. Taniguchi·A. M. Tsvelik
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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 behaviour than initially expected. Moreover, the previous replica solution is found to be incorrect at the level of higher correlation functions.

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J. -S. Caux, N. Taniguchi, A. M. Tsvelik. 1997-11-12. Termination of Multifractal Behaviour for Critical Disordered Dirac Fermions. https://doi.org/10.1103/physrevlett.80.1276

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