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| VOLUME 91 | ISSUE 3 |
PAGE 121
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| Dirac fermions on a disclinated flexible surface |
E. A. Kochetov, V. A. Osipov1)
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
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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 R3 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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