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arXiv · 1207.4097

Enhancing the stability of a fractional Chern insulator against competing phases

Adolfo G. Grushin·Titus Neupert·Claudio Chamon·Christopher Mudry
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Abstract

We construct a two-band lattice model whose bands can carry the Chern numbers C=0,pm1,pm2. By means of numerical exact diagonalization, we show that the most favorable situation that selects fractional Chern insulators (FCIs) is not necessarily the one that mimics Landau levels, namely a flat band with Chern number 1. First, we find that the gap, measured in units of the on-site electron-electron repulsion, can increase by almost two orders of magnitude when the bands are flat and carry a Chern number C=2 instead of C=1. Second, we show that giving a width to the bands can help to stabilize a FCI. Finally, we put forward a tool to characterize the real-space density profile of the ground state that is useful to distinguish FCI from other competing phases of matter supporting charge density waves or phase separation.

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Adolfo G. Grushin, Titus Neupert, Claudio Chamon, Christopher Mudry. 2012-11-23. Enhancing the stability of a fractional Chern insulator against competing phases. https://doi.org/10.1103/physrevb.86.205125

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