Abstract
We study quantum phase transitions of a repulsive Rydberg-dressed Fermi gas in 3D free space. Under random phase approximation(RPA), it is shown that a density wave order emerges from a Fermi liquid within week interaction and long blockade length (or high density) regime. Our mean-field theory results show that, this density wave order forms BCC structure through a first order phase transition, and the transition temperature is about one-tenth of the Fermi energy. Further- more, we argue that the theory associated with this novel phenomenon of repulsive Fermionic system differs completely from the well known Landau Fermi liquid theory.