  A two-component order parameter approach for the layered superconductor is
shown to form a condensate with magnetic and charge degrees of freedom. This
condensate is an inhomogeneous state, topologically stable, that exists without
the presence of an applied magnetic field. We show that the charge density in
the layers presents hexadecapole moment in its lowest order. Our approach is
based on the first order equations that we show here to solve the variational
equations for the special temperature defined by the crossing of the
superconducting dome and the pseudogap transition line. Time reversal symmetry
is broken and the weak local magnetic field produced by this inhomogeneous
state falls below the threshold of experimental observation. We find that the
charge distribution in the layers has an hexadecapole moment in its lowest
order.
