  HgTe-based quantum wells (QWs) recently attracted a lot of attention for the
realization of a two-dimensional topological insulator with protected helical
edge states. Another class of topological systems are topological
superconductors (TSCs) with Majorana edge states. In this paper, we show how
proximity induced s-wave superconductivity in the bulk of HgTe-QWs and in the
presence of a Zeeman field can exhibit a TSC with chiral Majorana edge states.
We calculate the topological invariants and the corresponding Majorana edge
states explicitly within a four-band model accounting for inversion symmetry
breaking terms due to Rashba spin-orbit coupling and bulk inversion asymmetry
present in these QWs.
