  We investigate the phases and phase transitions of the disordered Haldane
model in the presence of on-site disorder. We use the real-space Chern marker
and transfer matrices to extract critical exponents over a broad range of
parameters. The disorder-driven transitions are consistent with the plateau
transitions in the Integer Quantum Hall Effect (IQHE), in conformity with
recent simulations of disordered Dirac fermions. Our numerical findings are
compatible with an additional line of mass-driven transitions with a
continuously varying correlation length exponent. The values interpolate
between free Dirac fermions and the IQHE with increasing disorder strength. We
also show that the fluctuations of the Chern marker exhibit a power-law
divergence in the vicinity of both sets of transitions, yielding another
varying exponent. We discuss the interpretation of these results.

Strongly Correlated Electrons;Disordered Systems and Neural Networks;Mesoscale and Nanoscale Physics;Quantum Physics