  We study the superconducting proximity effect in a quantum wire with broken
time-reversal (TR) symmetry connected to a conventional superconductor. We
consider the situation of a strong TR-symmetry breaking, so that Cooper pairs
entering the wire from the superconductor are immediately destroyed.
Nevertheless, some traces of the proximity effect survive: for example, the
local electronic density of states (LDOS) is influenced by the proximity to the
superconductor, provided that localization effects are taken into account. With
the help of the supersymmetric sigma model, we calculate the average LDOS in
such a system. The LDOS in the wire is strongly modified close to the interface
with the superconductor at energies near the Fermi level. The relevant
distances from the interface are of the order of the localization length, and
the size of the energy window around the Fermi level is of the order of the
mean level spacing at the localization length. Remarkably, the sign of the
effect is sensitive to the way the TR symmetry is broken: In the spin-symmetric
case (orbital magnetic field), the LDOS is depleted near the Fermi energy,
whereas for the broken spin symmetry (magnetic impurities), the LDOS at the
Fermi energy is enhanced.
