ABSTRACT
A novel interaction of impurities with extended defects is studied. The interaction results from the violation of the topological structure of the crystal lattice by the defects. To investigate the interaction the recently developed theory of gauge-invariant kp-Hamiltonians for crystals with topological defects is applied. According to this theory the kp-Hamiltonian for crystal with topological defects contains a gauge potential related to a non-Abelian group E(3) of the proper Euclidean transformations of three-dimensional space. The gauge field is confined within the cores of the topological defects and it influences the carriers in the bulk of the crystal through the gauge potential that extends outside. This leads to an Aaronov-Bohm type topological interaction of the impurities with extended defects that reduces significantly the binding energies of carriers to impurities in the vicinity of the dislocations.
