Unified Description of Dirac Electrons on a Curved Surface of Topological Insulators
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概要
- 論文の詳細を見る
Existence of a protected surface state described by a massless Dirac equation is a defining property of the topological insulator. Though this statement can be explicitly verified on an idealized flat surface, it remains to be addressed to what extent it could be general. On a curved surface, the surface Dirac equation is modified by the spin connection terms. Here, in the light of the differential geometry, we give a general framework for constructing the surface Dirac equation starting from the Hamiltonian for bulk topological insulators. The obtained unified description clarifies the physical meaning of the spin connection.
- 2013-07-15
著者
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Takane Yositake
Department Of Applied Physics Osaka City University
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Imura Ken-ichiro
Department Of Physics Tohoku University:department Of Quantum Matter Adsm Hiroshima University
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