  We investigate the connection between localization of low-lying Dirac modes
and Polyakov-loop ordering in the lattice $\mathrm{SU}(2)$ Higgs model at
finite temperature, probed with the staggered Dirac operator. After mapping out
the phase diagram of the model at a fixed temporal extension in lattice units,
we study the localization properties of the low-lying modes of the staggered
Dirac operator, how these properties change across the various transitions, and
how these modes correlate with the gauge and Higgs fields. We find localized
low modes in the deconfined and in the Higgs phase, where the Polyakov loop is
strongly ordered, but in both cases they disappear as one crosses over to the
confined phase. Our findings confirm the general expectations of the
"sea/islands" picture, and the more detailed expectations of its refined
version concerning the favorable locations of localized modes, also in the
presence of dynamical scalar matter.
