  In this manuscript I present new hybrid devices based on multi-wire/channel
Rashba semiconductors, which harbor Majorana fermions (MFs) without a Zeeman
field. In contrast, magnetic fluxes, supercurrents or electric fields can be
employed, yielding an enhanced device manipulability. The generic topological
phase diagram for two-nanowire/channel systems exhibits features of quantum
criticality and a rich interplay of phases with 0, 1 or 2 MFs per edge. The
most prominent and experimentally feasible implementation relies on the already
existing platforms of InAs-2DEG on top of a Josephson junction. Appropriate
design of the latter device allows phases with 1 or 2 MFs, both detectable in
zero-bias anomaly peaks with a single or double unit of conductance.
