  We study the mixed state entanglement properties in two holographic axion
models by examining the behavior of the entanglement wedge minimum cross
section (EWCS), and comparing it with the holographic entanglement entropy
(HEE) and mutual information (MI). We find that the behavior of HEE, MI and
EWCS with Hawking temperature is monotonic, while the behavior with the axion
parameter $k$ is more rich, which depends on the size of the configuration and
the values of the other two parameters. Interestingly, the EWCS monotonically
increases with the coupling constant $\kappa$ between the axion field and the
Maxwell field, while HEE and MI can be non-monotonic. It suggests that the
EWCS, as a mixed state entanglement measure, captures distinct degrees of
freedom from the HEE and MI indeed. We also provide analytical understandings
for most of the numerical results.
