Spontaneous surface magnetization and chiral Majorana mode in p±is superconductors

Majorana fermion is usually realized by first singling out a nondegenerate Fermi surface with only one component of the electrons,
then restricting to the boundaries or defects of the system.
We take a different route and analyze the formation of chiral Majorana fermion by a "boundary of boundary" method in p±is pairing superconductors where p represents for the ³He-B type p-wave triplet pairing symmetry.
The boundaries of 3D p±is superconductors are spontaneously magnetized with opposite magnetizations between p+is and p-is pairings,
which is consistent with the magnetoelectric effect based on a Ginzburg-Landau free energy analysis.
There exists chiral Majorana mode propagating uni-directionally on the line of the magnetic domain separating p+is and p-is boundaries.
Such chiral Majorana modes can be controlled by external magnetic field.