Spin jam and exotic entropy scaling in a frustrated magnet: A tiling based proof
We describe a novel approach to an open problem, motivated by puzzling behavior of certain magnetic systems such as SCGO. We show how a clean system governed by simple Heisenberg interactions freezes into a glass like state induced by quantum fluctuations, in contrast to the usual mechanisms for classical spin-glass which rely on the presence of disorder. At the heart of the effect is an unusual scaling of the number of local minima, with a scaling extensive in the boundary length rather than the volume. We establish these properties by a combination of tools and mappings, leading to a problem of counting tessellations.