Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-10-10
Phys. Scr. 2012, 014021
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
This manuscript will be published on the Proceedings of the 2010 Nobel Symposium on Graphene and Quantum Matter
Scientific paper
10.1088/0031-8949/2012/T146/0140
The electronic structures of graphene systems and topological insulators have closely-related features, such as quantized Berry phase and zero-energy edge states. The reason for these analogies is that in both systems there are two relevant orbital bands, which generate the pseudo-spin degree of freedom, and, less obviously, there is a correspondence between the valley degree of freedom in graphene and electron spin in topological insulators. Despite the similarities, there are also several important distinctions, both for the bulk topological properties and for their implications for the edge states -- primarily due to the fundamental difference between valley and spin. In view of their peculiar band structure features, gapped graphene systems should be properly characterized as marginal topological insulators, distinct from either the trivial insulators or the true topological insulators.
Buttiker Markus
Li Jian
Martin Ivar
Morpurgo Alberto F.
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