  The dynamical properties of a recently introduced phenomenological model for
high temperature superconductors are investigated. In the clean limit, it was
observed that none of the homogeneous or striped states that are induced by the
model at low temperatures can reproduce the recent angle-resolved photoemission
results for LSCO (Yoshida et al., Phys. Rev. Lett. 91, 027001 (2003)), that
show a signal with two branches in the underdoped regime. On the other hand,
upon including quenched disorder in the model and breaking the homogeneous
state into ``patches'' that are locally either superconducting or
antiferromagnetic, the two-branch spectra can be reproduced. In this picture,
the nodal regions are caused by d-wave superconducting clusters. Studying the
density of states (DOS), a pseudogap is observed, caused by the mixture of the
gapped antiferromagnetic state and a d-wave superconductor. The local DOS can
be interpreted using a mixed-phase picture, similarly as observed in tunneling
experiments. It is concluded that a simple phenomenological model for cuprates
can capture many of the features observed in the underdoped regime of these
materials.
