2015Unpublished venueRequires access

Gapless Interface States between Two Topological Insulators with Crystallographic Rotational Symmetry

Ryuji Takahashi, Shuichi Murakami

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Abstract

We consider a junction of two topological insulators with different chiralities. In this case there appear gapless interface states between two topological insulators, and their existence is topologically guaranteed by the mirror Chern number when the interface plane has mirror symmetry. We show dispersions of the gapless interface states with several crystallographic rotational symmetries, and discuss the relation between them.

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What this paper is about

We consider a junction of two topological insulators with different chiralities. In this case there appear gapless interface states between two topological insulators, and their existence is topologically guaranteed by the mirror Chern number when the interface plane has mirror symmetry. We show dispersions of the gapless interface states with several crystallographic rotational symmetries, and discuss the relation between them.

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Available abstract

We consider a junction of two topological insulators with different chiralities. In this case there appear gapless interface states between two topological insulators, and their existence is topologically guaranteed by the mirror Chern number when the interface plane has mirror symmetry. We show dispersions of the gapless interface states with several crystallographic rotational symmetries, and discuss the relation between them.

Key concepts: Gapless playback, Topological insulator, Condensed matter physics, Symmetry (geometry), Physics, Topology (electrical circuits), Materials science, Engineering

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