We show why interlayer tunneling conductivity in coherent bilayer quantum Hall states at ν = 1 is anomalously large, but finite in the recent experiment. Although there exists an expectation that dissipationless tunneling current arises in the state, we argue that pseudoSkyrmions causes the finite conductivity. PseudoSkyrmions have an intrinsic polarization field perpendicular to the layers, which causes the dissipation. We show that the large peak in the conductivity remains for weak parallel magnetic field, but decay rapidly after its strength is beyond a critical one, ∼ 0.1 Tesla
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