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Topological Bloch Bands in Graphene Superlattices

Song, Justin C. W. and Samutpraphoot, Polnop and Levitov, Leonid S. (2015) Topological Bloch Bands in Graphene Superlattices. Proceedings of the National Academy of Sciences of the United States of America, 112 (35). pp. 10879-10883. ISSN 0027-8424. PMCID PMC4568281. doi:10.1073/pnas.1424760112.

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We outline a designer approach to endow widely available plain materials with topological properties by stacking them atop other nontopological materials. The approach is illustrated with a model system comprising graphene stacked atop hexagonal boron nitride. In this case, the Berry curvature of the electron Bloch bands is highly sensitive to the stacking configuration. As a result, electron topology can be controlled by crystal axes alignment, granting a practical route to designer topological materials. Berry curvature manifests itself in transport via the valley Hall effect and long-range chargeless valley currents. The nonlocal electrical response mediated by such currents provides diagnostics for band topology.

Item Type:Article
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URLURL TypeDescription CentralArticle Information Paper
Song, Justin C. W.0000-0002-5175-6970
Additional Information:© 2015 National Academy of Sciences. Edited by Subir Sachdev, Harvard University, Cambridge, MA, and approved June 24, 2015 (received for review December 30, 2014). Published online before print August 18, 2015. This work was supported by National Science Foundation (NSF) Science and Technology Center for Integrated Quantum Materials, NSF Grant DMR-1231319 (to L.S.L.), and in part by the US Army Research Laboratory and the US Army Research Office through the Institute for Soldier Nanotechnologies, under Contract no. W911NF-13-D-0001 (L.S.L.). J.C.W.S. acknowledges support from a Burke Fellowship at Caltech, the Sherman Fairchild Foundation, and a National Science Scholarship. Author contributions: J.C.W.S. and L.S.L. designed research; J.C.W.S., P.S., and L.S.L. performed research; and J.C.W.S. and L.S.L. wrote the paper. The authors declare no conflict of interest. This article is a PNAS Direct Submission. This article contains supporting information online at
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-13-D-0001
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
National Science ScholarshipUNSPECIFIED
Subject Keywords:Topological Bands, Graphene, van der Waals Heterostructure
Issue or Number:35
PubMed Central ID:PMC4568281
Record Number:CaltechAUTHORS:20150702-144749667
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Official Citation:Justin C. W. Song, Polnop Samutpraphoot, and Leonid S. Levitov Topological Bloch bands in graphene superlattices PNAS 2015 112 (35) 10879-10883; published ahead of print August 18, 2015, doi:10.1073/pnas.1424760112
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58759
Deposited By: Joy Painter
Deposited On:06 Jul 2015 15:01
Last Modified:24 May 2022 22:34

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