Bifurcation of the edge-state width in a two-dimensional topological insulator

Bifurcation of the edge-state width in a two-dimensional topological insulator

We examine the properties of edge states in a two-dimensional topological insulator. Based on the Kane-Mele model, we derive coupled equations for the energy and the effective width of the edge states at a given crystal momentum in a semi-infinite honeycomb lattice with a zigzag boundary. It is reve...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Vol. 88; no. 24
Main Authors: Doh, Hyeonjin, Jeon, Gun Sang
Format: Journal Article
Language:English
Published: 11-12-2013
Subjects:
Bands
Bifurcations
Boundaries
Condensed matter
Insulators
Mathematical analysis
Topology
Two dimensional
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Summary:We examine the properties of edge states in a two-dimensional topological insulator. Based on the Kane-Mele model, we derive coupled equations for the energy and the effective width of the edge states at a given crystal momentum in a semi-infinite honeycomb lattice with a zigzag boundary. It is revealed that, in a one-dimensional Brillouin zone, the edge states merge into continuous bands of the bulk states through a bifurcation of the edge-state width. We discuss the implications of the results for experiments in monolayer or thin-film topological insulators.
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content type line 23
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.88.245115