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Bifurcation of the Edge-State Width in the 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 two coupled equations for the energy and the effective width of edge states at a given 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 the continuous bands of the bulk states through a bifurcation of the edge-state width. We discuss the implications of the results to the experiments in monolayer or thin films of topological insulators.

preprint2013arXivOpen access
Hyeonjin DohGun Sang Jeon
cond-mat.mes-hallcond-mat.str-el
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Hyeonjin DohGun Sang Jeon

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