Grain Boundaries in Graphene on SiC(000$\bar{1}$) Substrate
Yann Tison, J\'er\^ome Lagoute, Vincent Repain, Cyril Chacon, Yann, Girard, Fr\'ed\'eric Joucken, Robert Sporken, Fernando Gargiulo, Oleg V., Yazyev, and Sylvie Rousset

TL;DR
This study investigates grain boundaries in epitaxial graphene on SiC(000$ar{1}$), revealing buckling transitions, structural motifs, and potential for valleytronic device applications through microscopy and spectroscopy.
Contribution
It identifies the critical misorientation angle for buckling transition and characterizes a highly ordered grain boundary with valley filtering potential.
Findings
Buckling occurs in small-angle grain boundaries with misorientation angles below 19°.
A highly ordered grain boundary at 33° exhibits a chain of pentagons and heptagons.
The observed defect structure can enable all-electric valleytronic devices.
Abstract
Grain boundaries in epitaxial graphene on the SiC(000) substrate are studied using scanning tunneling microscopy and spectroscopy. All investigated small-angle grain boundaries show pronounced out-of-plane buckling induced by the strain fields of constituent dislocations. The ensemble of observations allows to determine the critical misorientation angle of buckling transition . Periodic structures are found among the flat large-angle grain boundaries. In particular, the observed highly ordered grain boundary is assigned to the previously proposed lowest formation energy structural motif composed of a continuous chain of edge-sharing alternating pentagons and heptagons. This periodic grain boundary defect is predicted to exhibit strong valley filtering of charge carriers thus promising the practical realization of all-electric…
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