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• W1983251768 abstract "In this paper we construct fully symmetric wave functions for the spin-polarized fractional Chern insulators (FCIs) and time-reversal-invariant fractional topological insulators (FTIs) in two dimensions using the parton approach. We show that the lattice symmetry gives rise to many different FCI and FTI phases even with the same filling fraction $ensuremath{nu}$ (and the same quantized Hall conductance ${ensuremath{sigma}}_{xy}$ in the FCI case). They have different symmetry-protected topological orders, which are characterized by different projective symmetry groups. We mainly focus on FCI phases which are realized in a partially filled band with Chern number 1. The low-energy gauge groups of a generic ${ensuremath{sigma}}_{xy}=1/mifmmodecdotelsetextperiodcenteredfi{}{e}^{2}/h$ FCI wave function can be either $text{SU}(m)$ or the discrete group ${Z}_{m}$, and in the latter case the associated low-energy physics are described by Chern-Simons-Higgs theories. We use our construction to compute the ground-state degeneracy. Examples of FCI/FTI wave functions on honeycomb lattice and checkerboard lattice are explicitly given. Possible non-Abelian FCI phases which may be realized in a partially filled band with Chern number 2 are discussed. Generic FTI wave functions in the absence of spin conservation are also presented whose low-energy gauge groups can be either $text{SU}(m)ifmmodetimeselsetexttimesfi{}text{SU}(m)$ or ${Z}_{m}ifmmodetimeselsetexttimesfi{}{Z}_{m}$. The constructed wave functions also set up the framework for future variational Monte Carlo simulations." @default.
• W1983251768 created "2016-06-24" @default.
• W1983251768 creator A5011916555 @default.
• W1983251768 creator A5068032136 @default.
• W1983251768 date "2012-04-20" @default.
• W1983251768 modified "2023-10-03" @default.
• W1983251768 title "Symmetry-protected fractional Chern insulators and fractional topological insulators" @default.
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• W1983251768 doi "https://doi.org/10.1103/physrevb.85.165134" @default.
• W1983251768 hasPublicationYear "2012" @default.
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