There are errors in our derivation of the detailed expressions for the Dzyaloshinskii-Moriya (DM) couplings for the cuprates. The contribution to the DM coupling from the virtual process involving the Cu 3d orbital r -3z should vanish. This becomes transparent when one evaluates the spin-orbit coupling using axes oriented along the tilted Cu-0 octahedra.Consequently, all the terms involving the hopping integral t 2 2 in Ref. 1 should be suppressed. These terms appear in Eqs. (10), (13), and (16). As a result, for LazCu04, in the low-temperature orthogonal phase, one of the DM components d, =0, while in the low-temperature tetragonal phase, d4=0.