Dirac fermions on a disclinated flexible surface
Mesoscale and Nanoscale Physics
2010-04-22 v1
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.
Cite
@article{arxiv.1001.4450,
title = {Dirac fermions on a disclinated flexible surface},
author = {E. A. Kochetov and V. A. Osipov},
journal= {arXiv preprint arXiv:1001.4450},
year = {2010}
}
Comments
6 pages