Publikation: Substrate-induced topological minibands in graphene
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The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise from superlattice potentials as induced by a substrate such as hexagonal boron-nitride. Making use of the general form of a weak substrate potential as dictated by symmetry, we analytically derive the low-energy minibands of the superstructure, including a characteristic 1.5 Dirac cone deriving from a three-band crossing at the Brillouin zone edge. Assuming a large supercell, we focus on a single Dirac cone (or valley) and find all possible arrangements of the low-energy electron and hole bands in a complete six-dimensional parameter space. We identify the various symmetry planes in parameter space inducing gap closures and find the sectors hosting topological minibands, including also complex band crossings that generate a valley Chern number atypically larger than one. Our map provides a starting point for the systematic design of topological bands by substrate engineering.
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WOLF, Tobias M. R., Oded ZILBERBERG, Ivan LEVKIVSKYI, Gianni BLATTER, 2018. Substrate-induced topological minibands in graphene. In: Physical Review B. American Physical Society (APS). 2018, 98(12), 125408. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.98.125408BibTex
@article{Wolf2018Subst-54995,
year={2018},
doi={10.1103/PhysRevB.98.125408},
title={Substrate-induced topological minibands in graphene},
number={12},
volume={98},
issn={2469-9950},
journal={Physical Review B},
author={Wolf, Tobias M. R. and Zilberberg, Oded and Levkivskyi, Ivan and Blatter, Gianni},
note={Article Number: 125408}
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<dcterms:abstract xml:lang="eng">The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise from superlattice potentials as induced by a substrate such as hexagonal boron-nitride. Making use of the general form of a weak substrate potential as dictated by symmetry, we analytically derive the low-energy minibands of the superstructure, including a characteristic 1.5 Dirac cone deriving from a three-band crossing at the Brillouin zone edge. Assuming a large supercell, we focus on a single Dirac cone (or valley) and find all possible arrangements of the low-energy electron and hole bands in a complete six-dimensional parameter space. We identify the various symmetry planes in parameter space inducing gap closures and find the sectors hosting topological minibands, including also complex band crossings that generate a valley Chern number atypically larger than one. Our map provides a starting point for the systematic design of topological bands by substrate engineering.</dcterms:abstract>
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