Localization In Two Dimensions Gaussian Field Theories, And Multifractality

PHYSICAL REVIEW LETTERS, no. 20 (1996): 4194-4197

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We calculate nonperturbatively the multifractal scaling exponents of the critical wave function for two dimensional Dirac fermions in the presence of a random magnetic field. We do so by arguing that the multifractal sealing exponents can be expressed in terms of the free energy of random directed polymers on a Cayley tree. We find a weak...更多

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