Axial Anomaly in Quasi-1D Chiral Superfluids

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The axial anomaly in a quasi-one-dimensional (quasi-1D) chiral p-wave superfluid model, which has a epsilonₓ pₓ+i epsilony py-wave gap in 2D is studied. The anomaly causes an accumulation of the quasiparticle and a quantized chiral current density in an inhomogeneous magnetic field. These effects are related to the winding number of the gap. By varying the parameters epsilonₓ and epsilony, the model could be applicable to Sr2RuO4 near the second superconducting transition point, some quasi-1D organic superconductors and the fractional quantum Hall state at nu = 5 / 2 Landau level filling factor.