Geometric Phases in Graphitic Cones

Details Geometric Phases in Graphitic Cones Geometric Phases in Graphitic Cones

2006-01-17

arxiv.org/abs/cond-mat/0601391v2

Phys.Lett.A372:5368-5371,2008

Physics

Condensed Matter

Materials Science

4 pages, revtex4

Scientific paper

10.1016/j.physleta.2008.06.029

In this article we use a geometric approach to study geometric phases in graphitic cones. The spinor that describes the low energy states near the Fermi energy acquires a phase when transported around the apex of the cone, as found by a holonomy transformation. This topological result can be viewed as an analogue of the Aharonov-Bohm effect. The topological analysis is extended to a system with $n$ cones, whose resulting configuration is described by an effective defect.

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