Search for antiferromagnetism in homogeneous electron systems

We present numerical and analytical evidence for the absence of a second-order phase transition of homogeneous electron systems into an antiferromagnetic state. Our results are based on numerical data extending from the extreme high-density regime () to the extreme low-density regime (). The particle-particle interaction is treated within the random-phase approximation, augmented by various types of local-field corrections. The latter turn out to be crucial for a correct description of the screening of spin-density waves. Our results indicate the absence of a second-order transition of the three-dimensional homogeneous electron gas, the two-dimensional homogeneous electron gas, and laterally homogeneous electron layers, into a collinear antiferromagnetic state. Received 22 December 1998 and Received in final form 4 May 1999