(3:30~4:00pm, Tea, Coffee, and Cookie)

For spin-1/2 systems when quantum fluctuations destroy the Neel long-range order and open a
spin gap, the resulting state usually breaks the lattice translation and rotation symmetries. This
can be understood as reflecting aBerry's phase associatedwith the magnetic monopole of the
Neel order parameter. Here we point out the same Berry phase causes spin-1 systems to
spontaneously break the discrete rotational symmetry of the crystal while preserving its
translation symmetry. We support this claim by presenting an exactly solvable microscopic
model whose ground state is a nematic quantum paramagnet. In addition we derive a field
theory to describe the continuous, Landau-forbidden phase transition between a Neel ordered
state and a nematic quantum paramagnet, and compare the theory with existing numerical
results. We propose that the nematic quantum paramagnetic state captures essential features of
bulk FeSe which becomes nematic around 90K but does not develop any spin long range
order down to the lowest measured temperature.