Dirac fermions on a disclinated flexible surface

E. A. Kochetov; V. A. Osipov

doi:10.1134/s0021364010030021

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arXiv · 1001.4450

Dirac fermions on a disclinated flexible surface

E. A. Kochetov·V. A. Osipov

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Abstract

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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E. A. Kochetov, V. A. Osipov. 2010-01-25. Dirac fermions on a disclinated flexible surface. https://doi.org/10.1134/s0021364010030021

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