  Motivated by Sr2RuO4 the magnetic properties of edge states in a two-band
spin-triplet superconductor with electron- and hole-like Fermi surfaces are
investigated assuming chiral p-wave pairing symmetry. The two bands correspond
to the alpha-beta-bands of Sr2RuO4 and are modeled within a tight-binding model
including inter-orbital hybridization and spin-orbit coupling effects.
Including superconductivity the quasiparticle spectrum is determined by means
of a self-consistent Bogolyubov-de Gennes calculation. While a full
quasiparticle excitation gap appears in the bulk, gapless states form at the
edges which produce spontaneous spin and/or charge currents. The spin current
is the result of the specific band structure while the charge current
originates from the superconducting condensate. Together they induce a small
spin polarization at the edge. Furthermore onsite Coulomb repulsion is included
to show that the edge states are unstable against the formation of a
Stoner-like spin polarization of the edge states. Through spin-orbit coupling
the current- and the correlation-induced magnetism are coupled to the
orientation of the chirality of the superconducting condensate. We speculate
that this type of phenomenon could yield a compensation of the magnetic fields
induced by currents and also explain the negative result in the recent
experimental search for chiral edge currents.
