Chiral phases and Landau-forbidden transitions in one dimension
Chiral phase, Deconfined quantum criticality, Landau paradigm, Bosonization, Pseudospins
The common lore in statistical physics suggests that phases and transitions of matter are generally classified by what is called
the Landau-Ginzburg-Wilson paradigm. In two dimensions, however, quantum models can exhibit ``deconfined'' continuous
transitions between ordered phases, which are forbidden by the Landau classification. On this thesis, we introduce a one-
dimensional quantum spin model with three ordered phases: A chiral spin state, where the system orders into three-spin
``fluxes'', an antiferromagnetic state, and a novel phase which we denote as the Klein paramagnet. We find that all transitions
from the chiral phase are continuous and beyond the Landau paradigm.