Antiferromagnetism from phase disordering of a d-wave superconductor.

The unbinding of vortex defects in the superconducting condensate with d-wave symmetry at T = 0 is shown to lead to the insulator with incommensurate spin-density-wave order. The transition is similar to the spontaneous generation of the chiral mass in the three-dimensional quantum electrodynamics. A possible relation to recent experiments on underdoped cuprates is discussed.