  There exists a connection between the creation of toroidal moments (TM) and
the breaking of the one-cell relativistic crystalline symmetry (RCS) associated
to any given crystal into which non-trivial magnetoelectric coupling effects
(ME) exist. Indeed, in this kind of crystals, any interaction between a charge
carrier and an elementary magnetic cell can breaks the RCS of this previous
given cell by varying, in the simplest case, the continuous defining parameters
of the initial RCS. This breaking can be associated to a change of the initial
Galilean proper frame of any given carrier to an "effective" one, into which
the RCS of the interacting cell is kept. We can speak of a kind of "inverse"
kineto-magnetoelectric effect. The magnetic groups compatible with such process
have been computed. Moreover, one can notice that the TM's break the P and T
symmetries but not the PT one as in anyons theories. This breaking creates
so-called Nambu-Goldstone bosons generating "effective" magnetic monopoles.
These consequences allow us to claim, first, that anyons are charge carriers
associated with "effective" magnetic monopoles, both with TM's, and second,
that ME can be highly considered in superconductors theory.
