Abstract

In the framework of a linearized gauge model an exact solution for a fractional disclination vortex is obtained. The stress and strain fields due to the vortex are found to be just the same as those for a straight wedge disclination with a non-integer Frank index in a classical theory of disclinations. Electronic properties of elastic media with fractional disclination vortices are studied. It is shown that there exist localized electronic states for negative wedge disclinations. The disclination-induced resistivity is examined.

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