**
I will talk about magnetic insulators in which the symmetry of the spin
interactions leads to strong fluctuations and qualitatively new ground
states. Of particular interest are frustrated quantum magnets in which
long-range magnetic order is impeded because of competing interactions. The
proximity of such systems to quantum critical points can lead to strong
cross-coupling between magnetic order and the nuclear lattice. Case in point
is a new class of multiferroic materials in which the magnetic and
ferroelectric order parameters are directly coupled, and a magnetic field
can suppress or switch the electric polarization [1]. Our neutron
measurements reveal that ferroelectricity is induced by magnetic order and
emerges only if the magnetic structure creates a polar axis [2-5]. The spin
dynamics and the field-temperature phase diagram of the ordered phases
provide evidence that competing ground states are essential but not
sufficient for ferroelectricity. The origin of the magneto-electric coupling
is not understood at present, but it may arise from strain derivatives of
the isotropic exchange interactions or anisotropic exchange couplings such
as Dzyaloshinskii-Moriya interactions.
**

**References**

**
**
- T. Kimura et al, Nature 426, 55 (2003).
- G. Lawes et al, Phys. Rev. Lett. 95, 087205 (2005).
- M. Kenzelmann et al, Phys. Rev. Lett. 95, 087206 (2005).
- M. Kenzelmann et al, Phys. Rev. B 74, 014429 (2006).
- M. Kenzelmann et al, Phys. Rev. Lett. 98, 267205 (2007).