A magnetically-coupled structure is integrated with an integrated circuit in back end-of-line (BEOL) digital CMOS fabrication processes. A differential primary (or secondary) coil is formed by patterning a thick copper (Cu) metal layer, and a single-ended secondary (or primary) coil is formed by patterning a thick aluminum (Al) top metal bonding layer. Crossovers and/or cross-unders are formed using thin metal layers. One embodiment provides a stacked balun with a differential primary input winding defined in the copper layer, directly underneath a single-ended spiral winding defined in the aluminum layer. The spiral forms the single-ended secondary output of the balun and is rotated by 90° to prevent metal shorting for its cross-under connections. Another embodiment provides a transformer with one differential primary (or secondary) coil defined in the copper layer and another differential secondary (or primary) coil defined in the aluminum layer and adding a center tap. The position of the tap is selected to compensate for phase differences and provide desired balance.