Bulk acoustic wave resonator having a piezoelectric layer with varying amounts of dopant

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A bulk acoustic wave (BAW) resonator structure includes a first electrode disposed over a substrate, a piezoelectric layer disposed over the first electrode, and a second electrode disposed over the piezoelectric layer. The piezoelectric layer includes undoped piezoelectric material and doped piezoelectric material, where the doped piezoelectric material is doped with at least one rare earth element, for improving piezoelectric properties of the piezoelectric layer and reducing compressive stress.