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math-ph2010★ 16 cited
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Rainer Hempel, Martin Kohlmann
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential , we le…
math-ph2010★ 21 cited
A variational approach to dislocation problems for periodic Schrödinger operators
Rainer Hempel, Martin Kohlmann
As a simple model for lattice defects like grain boundaries in solid state physics we consider potentials which are obtained from a periodic potential on with p…