期刊
NANO LETTERS
卷 17, 期 8, 页码 4643-4647出版社
AMER CHEMICAL SOC
DOI: 10.1021/acs.nanolett.7b01080
关键词
Bilayer graphene; trilayer graphene; fractional quantum Hall effect; non-Abelian anyons
类别
资金
- EU
- U.S. National Science Foundation [DMR-1401636]
The current proposals for producing non-Abelian anyons and Majorana particles, which are neither fermions nor bosons, are primarily based on the realization of topological superconductivity in two dimensions. We show theoretically that the unique Landau level structure of bilayer graphene provides a new possible avenue for achieving such exotic particles. Specifically, we demonstrate the feasibility of a parton fractional quantum Hall (FQH) state, which supports non-Abelian particles without the usual topological superconductivity. Furthermore, we advance this state as the fundamental explanation of the puzzling 1/2 FQH effect observed in bilayer graphene [Kim et al. Nano Lett. 2015, 15, 7445] and predict that it will also occur in trilayer graphene. We indicate experimental signatures that differentiate the parton state from other candidate non-Abelian FQH states and predict that a transverse electric field can induce a. topological quantum phase transition between two distinct non-Abelian FQH states.
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