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Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
Raul Santos [1,2] , Chia-Wei Huang [3] , Yuval Gefen [2] , Dmitri Gutman [1]
[1] Department of Physics, Bar-Ilan University, Ramat Gan, 52900, Israel
[2] Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
[3] Max Planck Institute for Solid State Research, Stuttgart, Germany
The sliding Luttinger liquids (LL) approach is applied to study fractional topological insulators (FTI). We show that FTI is the low energy fixed point of the theory for the certain type of realistic spin-orbit and electron interaction. We find that the existence of this topological phase is favoured by the presence of generic time reversal invariant electron interactions. Finally we show that one dimensional chiral anomaly in the LL leads to emergence of topological Chern-Simons terms as the effective gauge theory of the FTI state.