  We investigate the localization and clustering features in $^{20}$Ne ($N=Z$)
and neutron-rich $^{32}$Ne nuclei at zero and finite temperatures. The finite
temperature Hartree-Bogoliubov theory is used with the relativistic
density-dependent meson-nucleon coupling functional DD-ME2. It is shown that
clustering features gradually weaken with increasing temperature and disappear
when the shape phase transition occurs. Considering thermal fluctuations in the
density profiles, the clustering features vanish at lower temperatures,
compared to the case without thermal fluctuations. The effect of the pairing
correlations on the nucleon localization and the formation of cluster
structures are also studied at finite temperatures. Due to the inclusion of
pairing in the calculations, cluster structures are preserved until the
critical temperatures for the shape phase transition are reached. Above the
critical temperature of the shape phase transition, the clustering features
suddenly disappear, which differs from the results without pairing.
