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arXiv · 1309.6336

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

D. Schmeltzer
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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.

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D. Schmeltzer. 2013-09-24. Propagation of Phonon in a Curved Space Induced by Strain Fields Instantons. https://doi.org/10.1142/s0217979214500593

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