Li Yuan, founder of the Tang dynasty had a ethnic Han father and Xianbei mother. The Xianbei tribes occupied a vast stretch of land over today's Mongolia and Manchuria, so were probably proto-Mongolic, proto-Tungusic.
Anyway, from a genetic standpoint, there are no pure Han people today. Cultural assimilation into Han culture and language over thousands of years through conquests and migrations mean that all Han people have very complex genotypes that vary from North to South, East to West. A Guangdong Han has closer DNA links with Vietnamese than with a northern Han from Hebei.