Topological Insulators-Transport in Curved Space

Details Topological Insulators-Transport in Curved Space Topological Insulators-Transport in Curved Space

2010-12-29

arxiv.org/abs/1012.5876v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We introduce new methods for investigating propagation of electrons in a multi band system with spin orbit interaction which are time reversal invariant . Therefore Kramer's theorem imposes constraints which give rise to non-trivial Berry connections. As a result chiral zero modes appear at the interface between two domains characterized by parameters which are above or below some critical values. The variation of the parameters is due to disorder, geometry or topological disorder such as dislocations and disclinations. The mechanism might explain the high conductivity coming from the bulk of the topological insulators. We introduced the method of curved geometry and study the effect of dislocations on the Topological Insulators. As a demonstration of the emergent Majorana Fermions we consider a P-wave wire coupled to two metallic rings.

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