The phononic Klein paradox using magneto-elastic coupling
Summary
In this Thesis we will investigate how phonons and magnons
interact with each other. Using the Klein paradox, where
matter-antimatter interactions can cause interesting phenomena
in scattering theory. In this thesis we will work out the phononic
Klein effect, where phonons will couple with antimagnons with
negative energy states. This interaction, facilitated by
magneto-elastic coupling from magneto-elastic theory, will cause
the same phenomenon as the bosonic Klein effect published a few
years ago. An increase of, in our case, phonons in the system, due
to the reflection coefficient, R > 1. By working out the dispersion
relation for the coupled magnons and phonons, we can see how
antimagnons can interact with phonons, giving us the Klein effect.
We will end this thesis with an expression for the reflection
coefficient, by using scattering theory
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