Fluxoid (source code)

= Fluxoid
{title2=$\Phi_{\rm f}=\Phi+\mu_0\lambda^2\oint_C\mathbf j\cdot d\mathbf l$}

For uniform superconducting carrier density, the displayed combination of enclosed <magnetic flux> and the circulating <supercurrent> is quantized on a closed contour where the <order parameter> does not vanish. It follows by integrating the gauge-invariant phase gradient. Magnetic flux alone is quantized only when the current contribution on that contour is negligible.