PIRSA:13030116

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

Hermele, M. (2013). Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions. Perimeter Institute. https://pirsa.org/13030116

Hermele, Michael. Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions. Perimeter Institute, Mar. 26, 2013, https://pirsa.org/13030116 

          @misc{ pirsa_PIRSA:13030116,
            doi = {10.48660/13030116},
            url = {https://pirsa.org/13030116},
            author = {Hermele, Michael},
            keywords = {Condensed Matter},
            language = {en},
            title = {Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {mar},
            note = {PIRSA:13030116 see, \url{https://pirsa.org}}
          }

Michael Hermele

University of Colorado Boulder

Talk number
PIRSA:13030116
Collection
Talk Type
Subject
Abstract
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.