  We demonstrate fully demixed (separated) robust and stable bright binary
dipolar Bose-Einstein condensate soliton in a quasi-one-dimensional setting
formed due to dipolar interactions for repulsive contact interactions. For
large repulsive interspecies contact interaction the first species may
spatially separate from the second species thus forming a demixed
configuration, which can be spatially-symmetric or symmetry-broken. In the
spatially-symmetric case, one of the the species occupies the central region,
whereas the other species separates into two equal parts and stay predominantly
out of this central region. In the symmetry-broken case, the two species stay
side by side. Stability phase diagrams for the binary solitons are obtained.
The results are illustrated with realistic values of parameters in the binary
164Dy-168Er and 164Dy-162Dy mixtures. The demixed solitons are really soliton
molecules formed of two types of atoms. A proposal for creating dipolar
solitons in experiments is also presented.
