  We show that a finite Hall effect in zero applied magnetic field occurs for
partially filled bands in certain time-reversal violating states with zero net
flux per unit-cell. These states are the Magneto-chiral states with parameters
in the effective one-particle Hamiltonian such that they do not satisfy the
Haldane-type constraints for topological electronic states. The results extend
an earlier discussion of the Kerr effect observed in the cuprates but may be
applicable to other experimental situations.
