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Propagation of Phonon in a Curved Space Induced by Strain Fields Instantons

Other Condensed Matter 2015-06-17 v1 High Energy Physics - Theory

Abstract

We show that for a \textbf{multiple-connected} space the low energy strain fields excitations are given by instantons. Dirac fermions with a chiral mass and a pairing field propagates effectively in a multiple conected space. When the elastic strain field response is probed one finds that it is given by the \textbf{Pointriagin} characteristic. As a result the space time metric is modified. Applying an external stress field we observe that the phonon path bends in the transverse direction to the initial direction.

Keywords

Cite

@article{arxiv.1309.6336,
  title  = {Propagation of Phonon in a Curved Space Induced by Strain Fields Instantons},
  author = {D. Schmeltzer},
  journal= {arXiv preprint arXiv:1309.6336},
  year   = {2015}
}