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We analyze the scaling behavior of the two smallest Lyapunov exponents forelectrons propagating on two-dimensional lattices with energies within a verynarrow interval around the chiral critical point at E=0 in the presence of aperpendicular random magnetic flux. By a numerical analysis of the energy andsize dependence we confirm that the two smallest Lyapunov exponents arefunctions of a single parameter. The latter is given by ln L/ln xi(E), which isthe ratio of the logarithm of the system width L to the logarithm of thecorrelation length xi(E). Close to the chiral critical point and energy |E| <<E_0, we find a logarithmically divergent energy dependence lnxi(E)proporitonalto |\ln(E_0/|E|)|^{1/2}, where E_0 is a characteristic energy scale. Our dataare in agreement with the theoretical prediction of M. Fabrizio and C.Castelliani [Nucl.\Phys.B 583, 542 (2000)] and resolve an inconsistency ofprevious numerical work.

Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices