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arXiv · 1706.06116

Observation of fractional Chern insulators in a van der Waals heterostructure

Eric M. Spanton·Alexander A. Zibrov·Haoxin Zhou·Takashi Taniguchi·Kenji Watanabe·Michael P. Zaletel·Andrea F. Young
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Abstract

Topologically ordered phases are characterized by long-range quantum entanglement and fractional statistics rather than by symmetry breaking. First observed in a fractionally filled continuum Landau level, topological order has since been proposed to arise more generally at fractional filling of topologically non-trivial "Chern" bands. Here, we report the observation of gapped states at fractional filling of Harper-Hofstadter bands arising from the interplay of a magnetic field and a superlattice potential in a bilayer graphene/hexagonal boron nitride heterostructure. We observe new phases at fractional filling of bands with Chern indices $\mathcal{C} = -1, \pm 2,$ and $\pm 3$. Some of these, in $\mathcal{C}=-1$ and $\mathcal{C}=2$ bands, are characterized by fractional Hall conductance---they are `fractional Chern insulators' and constitute a new example of topological order beyond Landau levels.

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Eric M. Spanton, Alexander A. Zibrov, Haoxin Zhou, Takashi Taniguchi, Kenji Watanabe, Michael P. Zaletel, Andrea F. Young. 2017-06-19. Observation of fractional Chern insulators in a van der Waals heterostructure. https://doi.org/10.1126/science.aan8458

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