Spin-density-wave transition in a two-dimensional spin liquid

Strongly correlated two-dimensional electrons are believed to form a spin liquid in some regimes of density and temperature. As the density is varied, one expects a transition from this spin-liquid state to a spin-density-wave antiferromagnetic state. In this paper we show that it is self-consistent to assume that this transition is second order and, on this assumption, determine the critical behavior of the 2${\mathit{p}}_{\mathit{F}}$ susceptibility, the NMR rates ${\mathit{T}}_1$ and ${\mathit{T}}_2$ and the uniform susceptibility. We compare our results to data on high-${\mathit{T}}_{\mathit{c}}$ materials.