We present a class of states with both topological and conventional Landau order that arise out of strongly interacting spinless fermions in fractionally filled and topologically non-trivial bands with Chern number C=±1. These quantum states show the features of fractional Chern insulators, such as fractional Hall conductivity and interchange of ground-state levels upon insertion of a magnetic flux. In addition, they exhibit charge order and a related additional trivial ground-state degeneracy. Band mixing and geometric frustration of the charge pattern place these lattice states markedly beyond a single-band description.
@article{arxiv.1305.6948,
title = {Combined topological and Landau order from strong correlations in Chern bands},
author = {Stefanos Kourtis and Maria Daghofer},
journal= {arXiv preprint arXiv:1305.6948},
year = {2014}
}