Dirac fermions on a disclinated flexible surface

Details Dirac fermions on a disclinated flexible surface Dirac fermions on a disclinated flexible surface

2010-01-25

arxiv.org/abs/1001.4450v1

Pisma Zh.Eksp.Teor.Fiz.91:128,2010; JETP Lett.91:110-114,2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages

Scientific paper

10.1134/S0021364010030021

A self-consisting gauge-theory approach to describe Dirac fermions on flexible surfaces with a disclination is formulated. The elastic surfaces are considered as embeddings into R^3 and a disclination is incorporated through a topologically nontrivial gauge field of the local SO(3) group which generates the metric with conical singularity. A smoothing of the conical singularity on flexible surfaces is naturally accounted for by regarding the upper half of two-sheet hyperboloid as an elasticity-induced embedding. The availability of the zero-mode solution to the Dirac equation is analyzed.

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