Evidence for a fractional fractal quantum Hall effect in graphene superlattices
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Publication:2961840
DOI10.1126/SCIENCE.AAD2102zbMATH Open1355.81193arXiv1505.07180OpenAlexW357646790WikidataQ51554919 ScholiaQ51554919MaRDI QIDQ2961840
Author name not available (Why is that?)
Publication date: 15 February 2017
Published in: (Search for Journal in Brave)
Abstract: The Hofstadter energy spectrum provides a uniquely tunable system to study emergent topological order in the regime of strong interactions. Previous experiments, however, have been limited to the trivial case of low Bloch band filling where only the Landau level index plays a significant role. Here we report measurement of high mobility graphene superlattices where the complete unit cell of the Hofstadter spectrum is accessible. We observe coexistence of conventional fractional quantum Hall effect (QHE) states together with the integer QHE states associated with the fractal Hofstadter spectrum. At large magnetic field, a new series of states appear at fractional Bloch filling index. These fractional Bloch band QHE states are not anticipated by existing theoretical pictures and point towards a new type of many-body state.
Full work available at URL: https://arxiv.org/abs/1505.07180
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