Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions

Quantum number fractionalization is a remarkable property
of topologically ordered states of matter, such as fractional quantum Hall
liquids, and quantum spin liquids. For a given type of topological order, there
are generally many ways to fractionalize the quantum numbers of a given
symmetry. What does it mean to have different types of fractionalization? Are
different types of fractionalization a universal property that can be used to
distinguish phases of matter? In this talk, I will answer these questions,
focusing on a simple class of topologically ordered phases, namely
two-dimensional gapped Z2 spin liquids, and I will present a symmetry
classification of these phases.  I will
also discuss efforts in progress to find microscopic models realizing different
symmetry classes.

Event Type: 
Seminar
Collection/Series: 
Scientific Area(s): 
Speaker(s): 
Event Date: 
Mardi, Mars 26, 2013 - 15:30 to 17:00
Location: 
Bob Room