Charge and spin fractionalization in strongly correlated topological insulators

Details Charge and spin fractionalization in strongly correlated topological insulators Charge and spin fractionalization in strongly correlated topological insulators

2011-08-26

arxiv.org/abs/1108.5388v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages

Scientific paper

We construct a topological Landau-Ginzburg theory that describes general charge and spin quantum Hall effects of strongly correlated particles, as well as their conventional phases in two spatial dimensions. Quantum Hall states appear as topological vortex liquids, fully characterized by how vorticity is distributed among all internal quantum numbers of microscopic particles. This theory predicts combined charge and spin fractionalization correlated with ground-state symmetries, while providing a unified framework for deriving effective Chern-Simons, BF and hierarchical effective gauge theories with arbitrary spin representation. We discuss application to strongly correlated topological insulators with time-reversal symmetry.

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