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We study the fate of spin-1/2 spiral-ordered two-dimensional quantumantiferromagnets that are disordered by quantum fluctuations. A crucial role isplayed by the topological point defects of the spiral phase, which are known tohave a Z2 character. Previous works established that a nontrivial quantumspin-liquid phase results when the spiral is disordered without proliferatingthe Z2 vortices. Here, we show that when the spiral is disordered byproliferating and condensing these vortices, valence-bond solid ordering occursdue to quantum Berry phase effects. We develop a general theory for this latterphase transition and apply it to a lattice model. This transition potentiallyprovides a new example of a Landau-forbidden deconfined quantum critical point.

Quantum Destruction of Spiral Order in Two Dimensional Frustrated Magnets