4.6 Article

Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices

Journal

PHYSICAL REVIEW B
Volume 92, Issue 24, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.92.245119

Keywords

-

Funding

  1. Iuventus Plus program of the Polish Ministry of Science and Higher Education [IP2012 007372]

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The stability of the nu = 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 themagnitude of themany-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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