Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-06-10
Phys. Rev. B56, 10668 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, REVTEX, manuscript as published in Phys. Rev. B, minor changes with respect to first version
Scientific paper
10.1103/PhysRevB.56.10668
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.
Castillo Horacio E.
Chamon Claudio de C.
Fradkin Eduardo
Goldbart Paul M.
Mudry Christopher
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