Embodiments of mechanisms for epitaxially growing one or more doped silicon-containing materials to form source and drain regions of finFET devices are provided in this disclosure. The dopants in the one or more doped silicon-containing materials can be driven into the neighboring lightly-doped-drain (LDD) regions by thermal anneal to dope the regions. The epitaxially growing process uses a cyclical deposition/deposition/etch (CDDE) process. In each cycle of the CDDE process, a first and a second doped materials are formed and a following etch removes most of the second doped material. The first doped material has a higher dopant concentration than the second material and is protected from the etching process by the second doped material. The CDDE process enables forming a highly doped silicon-containing material.