Thomas Scaffidi, Gunnar Moller
We numerically analyze the representation of fractional Chern insulators in the hybrid Wannier orbital basis proposed by Qi. Our numerics, performed for the exemplary case of bosons in the Haldane model, show that the construction is not exact, but it yields non-trivial overlaps of fractional Chern insulator wavefunctions with the continuum fractional quantum Hall states of particles in the lowest Landau level of an externally applied field. Exploiting the common structure in the representation for both systems, we demonstrate that the groundstate of bosons in the half filled Chern band is adiabatically connected to the $\nu=1/2$ Laughlin state of bosons in the continuum problem. We thus establish a general construction allowing to probe the nature of strongly correlated phases in Chern bands.
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http://arxiv.org/abs/1207.3539
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