Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices. Jaworowski, B., Manolescu, A., & Potasz, P. Phys. Rev. B, 92:245119, American Physical Society, Dec, 2015. ![Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex The stability of the ν=1/3 fractional Chern insulator (FCI) phase is analyzed on the example of a checkerboard lattice undergoing a transition into a Lieb lattice. The transition is performed by the addition of a second sublattice, whose coupling to the checkerboard sites is controlled by sublattice staggered potential. We investigate the influence of these sites on the many-body energy gap between three lowest energy states and the fourth state. We consider cases with different complex phases acquired in hopping and a model with a flattened topologically nontrivial band. We find that an interaction with the additional sites either open the single-particle gap or enlarge the existing one, which translates into similar effect on the many-particle gap. By looking at Berry curvature flatness we notice its strong correlation with the magnitude of the many-body energy gap, suggesting that the main mechanism of the FCI stabilization by additional atoms is via their influence on the Berry curvature. Evidence of the FCI phase for a region in a parameter space with larger energy gap is shown by looking at momenta of the threefold degenerate ground state, spectral flow, and quasihole excitation spectrum.
@article{PhysRevB.92.245119,
title = {Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices},
author = {Błażej Jaworowski and Manolescu, Andrei and Potasz, Paweł},
journal = {Phys. Rev. B},
volume = {92},
issue = {24},
pages = {245119},
numpages = {7},
year = {2015},
month = {Dec},
publisher = {American Physical Society},
arxiv={http://arxiv.org/abs/1508.04399},
doi = {10.1103/PhysRevB.92.245119},
url = {http://link.aps.org/doi/10.1103/PhysRevB.92.245119},
abstract = {The stability of the ν=1/3 fractional Chern insulator (FCI) phase is analyzed on the example of a checkerboard lattice undergoing a transition into a Lieb lattice. The transition is performed by the addition of a second sublattice, whose coupling to the checkerboard sites is controlled by sublattice staggered potential. We investigate the influence of these sites on the many-body energy gap between three lowest energy states and the fourth state. We consider cases with different complex phases acquired in hopping and a model with a flattened topologically nontrivial band. We find that an interaction with the additional sites either open the single-particle gap or enlarge the existing one, which translates into similar effect on the many-particle gap. By looking at Berry curvature flatness we notice its strong correlation with the magnitude of the many-body energy gap, suggesting that the main mechanism of the FCI stabilization by additional atoms is via their influence on the Berry curvature. Evidence of the FCI phase for a region in a parameter space with larger energy gap is shown by looking at momenta of the threefold degenerate ground state, spectral flow, and quasihole excitation spectrum.}
}
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