  In this work, we study the effects of torsion due to a uniform distribution
of topological defects (screw dislocations) on free spin/carrier dynamics in
elastic solids. When a particle moves in such a medium, the effect of the
torsion associated to the defect distribution is analogous to that of an
applied magnetic field but with subtle differences. Analogue Landau levels are
present in this system but they cannot be confined to two dimensions. In the
case of spinless carriers, zero modes, which do not appear in the magnetic
Landau levels, show up for quantized values of the linear momentum projected on
the defects axis. Particles with spin are subjected to a Zeeman-like coupling
between spin and torsion, which is insensitive to charge. This suggests the
possibility of spin resonance experiments without a magnetic field for charged
carriers or quasiparticles without electrical charge, like triplet excitons,
for instance.
