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The effect of dislocated cracks on collective excitations in a superlattice

The detection of dislocated cracks hidden in a superlattice is a very difficult problem of considerable practical importance. The calculation performed here proves that splitting of coupled localised edge modes occurs due to the presence of the dislocated cracks. The coupled anomalous edge modes may be 'softened' in a system which facilitates complete Coulomb screening-a superlattice with dislocated cracks, bulk with cracks, etc. This provides an approach for detecting dislocated cracks hidden in a superlattice.