TY - JOUR

T1 - Exact calculation of multifractal exponents of the critical wave function of Dirac fermions in a random magnetic field

AU - Castillo, Horacio E.

AU - de C. Chamon, Claudio

AU - Fradkin, Eduardo

AU - Goldbart, Paul M.

AU - Mudry, Christopher

PY - 1997

Y1 - 1997

N2 - The multifractal scaling exponents are calculated for the critical wave function of a two-dimensional Dirac fermion in the presence of a random magnetic field. It is shown that the problem of calculating the multifractal spectrum maps into the thermodynamics of a static particle in a random potential. The multifractal exponents are simply given in terms of thermodynamic functions, such as free energy and entropy, which are argued to be self-averaging in the thermodynamic limit. These thermodynamic functions are shown to coincide exactly with those of a generalized random energy model, in agreement with previous results obtained using Gaussian field theories in an ultrametric space.

AB - The multifractal scaling exponents are calculated for the critical wave function of a two-dimensional Dirac fermion in the presence of a random magnetic field. It is shown that the problem of calculating the multifractal spectrum maps into the thermodynamics of a static particle in a random potential. The multifractal exponents are simply given in terms of thermodynamic functions, such as free energy and entropy, which are argued to be self-averaging in the thermodynamic limit. These thermodynamic functions are shown to coincide exactly with those of a generalized random energy model, in agreement with previous results obtained using Gaussian field theories in an ultrametric space.

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U2 - 10.1103/PhysRevB.56.10668

DO - 10.1103/PhysRevB.56.10668

M3 - Article

AN - SCOPUS:0000684152

VL - 56

SP - 10668

EP - 10677

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 16

ER -