Charge and spin fractionalization in strongly correlated topological insulators

Abstract

We construct an effective topological Landau-Ginzburg theory that describes general SU(2) incompressible quantum liquids of strongly correlated particles in two spatial dimensions. This theory characterizes the fractionalization of quasiparticle quantum numbers and statistics in relation to the topological ground-state symmetries, and generalizes the Chern-Simons, BF and hierarchical effective gauge theories to an arbitrary representation of the SU(2) symmetry group. Our main focus are fractional topological insulators with time-reversal symmetry, which are treated as generalizations of the SU(2) quantum Hall effect.

8 pages, published version

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Cited by in corpus (6)

• Correlation effects in two-dimensional topological insulators
• Fractional topological insulators of Cooper pairs induced by proximity effect
• Interaction proximity effect at the interface between a superconductor and a topological insulator quantum well
• Effective theory of fractional topological insulators in two spatial dimensions
• Vortex states in a non-Abelian magnetic field
• Pairing instabilities in topological insulator quantum wells