  The Goldstone theorem implies the appearance of an ungapped mode whenever a
continuous global symmetry is spontaneously broken. In general it does not say
anything about the precise form of the dispersion relation nor does it imply
that there is one massless mode for each broken symmetry generator. It is a
well-established fact that even for relativistic field theories in the presence
of a chemical potential Goldstone modes with quadratic dispersion relation, the
type II Goldstone bosons, appear in the spectrum. We develop two holographic
models that feature type II Goldstone modes as part of the quasinormal mode
spectrum. The models are based on simple generalizations with U(2) symmetry of
the well-studied holographic s-wave superfluid. Our results include Goldstone
modes without broken generators but with unusual realization of symmetries and
a frequency dependent conductivity of striking resemblance to the one of
Graphene.
