Geometric Phases in Graphitic Cones

Furtado, Claudio; Moraes, Fernando; Carvalho, A. M. de M.

Geometric Phases in Graphitic Cones

Authors

Furtado, Claudio

Moraes, Fernando

Carvalho, A. M. de M.

Description

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.
4 pages, revtex4