Phase transitions in 3D loop models and the $CP^{n-1}$ $σ$ model

We consider the statistical mechanics of a class of models involving close-packed loops with fugacity $n$ on three-dimensional lattices. The models exhibit phases of two types as a coupling constant is varied: in one, all loops are finite, and in the other, some loops are infinitely extended. We sho...

Full description

Bibliographic Details
Main Authors: Nahum, A, Chalker, J, Serna, P, Ortuno, M, Somoza, A
Format: Journal article
Published: American Physical Society 2013