Emergence of mesoscale quantum phase transitions in a ferromagnet.

Mesoscale patterns as observed in, for example, ferromagnets, ferroelectrics, superconductors, monomolecular films or block copolymers reflect spatial variations of a pertinent order parameter at length scales and time scales that may be described classically. This raises the question for the relevance of mesoscale patterns near zero-temperature phase transitions, also known as quantum phase transitions. Here we report the magnetic susceptibility of LiHoF-a dipolar Ising ferromagnet-near a well-understood transverse-field quantum critical point (TF-QCP).