1210.6356 (Yang-Le Wu et al.)

Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern
Insulators    [PDF]

Yang-Le Wu, N. Regnault, B. Andrei Bernevig

We introduce a Bloch-like basis in a C-component lowest Landau level fractional quantum Hall effect (FQH), which entangles the real and internal degrees of freedom and preserves an Nx x Ny full lattice translational symmetry. We implement the Haldane pseudopotential Hamiltonians in this new basis. Their ground states are the model FQH wavefunctions, and our Bloch basis allows for a mutatis mutandis transcription of these model wave functions to the fractional Chern insulator of arbitrary Chern number C, obtaining wavefunctions different from Barkeshli & Qi. For C > 1, our wavefunctions are related to color-dependent magnetic-flux inserted versions of Halperin and non-Abelian color-singlet states. We then provide large-size numerical results for both the C=1 and C=3 cases. This new approach leads to improved overlaps compared to previous proposals. We also discuss the adiabatic continuation from the FCI to the Bloch-like basis model, both from the energy and entanglement spectrum perspectives.

View original: http://arxiv.org/abs/1210.6356