We analyze the chiral p-wave superconductor in the low temperature region.
The superconductor has a epsilon (x)p(x) + i epsilon (y)p(y)-wave gap in tw
o-dimensional space (2D). Near the second superconducting transition point,
the system could he described by a quasi-1D chiral p-wave model in 2D. The
axial anomaly occurs in such a model and causes an accumulation of the qua
siparticle in an inhomogeneous magnetic field. The effect is related to the
winding number of the gap.