Methods of transferring a layer of semiconductor material from a first donor structure to a second structure include forming recesses in the donor structure, implanting ions into the donor structure to form a generally planar, inhomogeneous weakened zone therein, and providing material within the recesses. The first donor structure may be bonded to a second structure, and the first donor structure may be fractured along the generally planar weakened zone, leaving the layer of semiconductor material bonded to the second structure. Semiconductor devices may be fabricated by forming active device structures on the transferred layer of semiconductor material. Semiconductor structures are fabricated using the described methods.