GAUGE-THEORY OF DISLOCATIONS AND DISCLINATIONS FOR PLANAR ELASTIC-SYSTEMS

Making use of the gauge approach we construct the continuum model for the description of topological defects in planar elastic systems. The equations of motion for defect systems in the presence of both dislocation and disclination fields are presented. The exact vortex-like solution for static disclinations is obtained. The Schrodinger equation in the presence of a static disclination vortex is studied. We show that electrons (holes) can acquire a topological phase which depends on the disclination flux. When the interaction between long-wave electron fields and acoustic waves is present, the electrons with E < E(F) are found to be localized. The scattered states (at E > E(F)) acquire an additional phase shift due to the deformation potential.