Abstract
A continuum model to study the influence of dislocations on the electronic
properties of condensed matter systems is described and analyzed.
The model is based on a geometrical formalism that associates a density
of dislocations with the torsion tensor and uses the technique of
quantum field theory in curved space. When applied to two-dimensional
systems with Dirac points like graphene we find that dislocations
couple in the form of vector gauge fields similar to these arising
from curvature or elastic strain. We also describe the ways to couple
dislocations to normal metals with a Fermi surface.
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