  Broken time reversal symmetry (BTRS) in d+id' as well as in d+is
superconductors is studied and is shown to yield current carrying surface
states. We evaluate the temperature and thickness dependence of the resulting
spontaneous magnetization and show a marked difference between weak and strong
BTRS. We also derive the Hall conductance which vanishes at zero wavevector q
and finite frequency w, however at finite q,w it has an unusual structure. The
chirality of the surface states leads to quantum Hall effects for spin and heat
transport in d+id' superconductors.
