I am reading about the Mayadas-Shatzkes model (MS model).
when electrons are scattered with the grain boundary, there is a probability that it will be transmitted to the other side of the grain boundary(R-->0) or reflected(R-->1).
In the original paper by Mayadas-Shatzkes, the Grain Boundaries are drawn as an energy wall/barrier perpendicular to the electron trajectories or direction of current or electric field E.
From point 1 and 2, I got an impression that this scattering seem like an electron tunneling as particle in a box model. Is this analogy correct?
In other words, can I consider electron scattering with grain boundaries as a tunneling process? or it is completely irrelevant since they use two different physics framework, semi-classic for MS model and QM for particle in a box?