Axial anomaly effect in chiral p-wave superconductor

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.