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arXiv · 1108.2440

Time-reversal symmetric hierarchy of fractional incompressible liquids

Luiz Santos·Titus Neupert·Shinsei Ryu·Claudio Chamon·Christopher Mudry
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Abstract

We provide an effective description of fractional topological insulators that include the fractional quantum spin Hall effect by considering the time-reversal symmetric pendant to the topological quantum field theories that encode the Abelian fractional quantum Hall liquids. We explain the hierarchical construction of such a theory and establish for it a bulk-edge correspondence by deriving the equivalent edge theory for chiral bosonic fields. Further, we compute the Fermi-Bose correlation functions of the edge theory and provide representative ground state wave functions for systems described by the bulk theory.

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Luiz Santos, Titus Neupert, Shinsei Ryu, Claudio Chamon, Christopher Mudry. 2011-08-11. Time-reversal symmetric hierarchy of fractional incompressible liquids. https://doi.org/10.1103/physrevb.84.165138

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