  We analyze the effect of weak localization (WL) and weak antilocalization
(WAL) in the electronic transport through HgTe/CdTe quantum wells. We show that
for increasing Fermi energy the magnetoconductance of a diffusive system with
inverted band ordering features a transition from WL to WAL and back, if
spin-orbit interactions from bulk and structure inversion asymmetry can be
neglected. This, and an additional splitting in the magnetoconductance profile,
is a signature of the Berry phase arising for inverted band ordering and not
present in heterostructures with conventional ordering. In presence of
spin-orbit interaction both band topologies exhibit WAL, which is distinctly
energy dependent solely for quantum wells with inverted band ordering. This can
be explained by an energy-dependent decomposition of the Hamiltonian into two
blocks.
