  Key properties of the cuprates, such as the pseudogap observed above the
critical temperature $T_c$, remain highly debated. Given their importance, we
recently proposed a novel mechanism based on the Bose-like condensation of
mutually interacting Cooper pairs [W. Sacks, A. Mauger, Y. Noat, Superconduct.
Sci. Technol. 28 105014, (2015)]. In this work, we calculate the temperature
dependent DOS using this model for different doping levels from underdoped to
overdoped. In all situations, due to the presence of excited pairs, a pseudogap
is found above $T_c$ while the normal DOS is recovered at $T^*$, the pair
formation temperature. A similar behavior is found as a function of magnetic
field, crossing a vortex, where a pseudogap exists in the vortex core. We show
that the precise DOS shape depends on combined pair (boson) and quasiparticle
(fermion) excitations, allowing for a deeper understanding of the SC to the PG
transition.
