Using a mapping of a layered three-dimensional system with significant
interlayer tunneling onto a spin Hamiltonian, the phase diagram in th
e strong magnetic-field limit is obtained in the semiclassical approxi
mation. This phase diagram, which exhibits a metallic phase for a fini
te range of energies and magnetic fields, and the calculated associate
d critical exponent v=4/3 agree excellently with existing numerical ca
lculations. The implication of this work for the quantum Hall effect i
n three dimensions is discussed.