  Stochastic and mixed stochastic-deterministic density functional theory (DFT)
are promising new approaches for the calculation of the equation-of-state and
transport properties in materials under extreme conditions. In the intermediate
warm dense matter regime, a state between correlated condensed matter and
kinetic plasma, electrons can range from being highly localized around nuclei
to delocalized over the whole simulation cell. The plane-wave basis
pseudo-potential approach is thus the typical tool of choice for modeling such
systems at the DFT level. Unfortunately, the stochastic DFT methods scale as
the square of the maximum plane-wave energy in this basis. To reduce the effect
of this scaling, and improve the overall description of the electrons within
the pseudo-potential approximation, we present stochastic and mixed DFT
developed and implemented within the projector augmented wave formalism. We
compare results between the different DFT approaches for both single-point and
molecular dynamics trajectories and present calculations of self-diffusion
coefficients of solid density carbon from 1 to 50 eV.
