Mass flows and angular momentum density for $p_x+i{p}_y$ paired fermions in a harmonic trap

Abstract

We present a simple two-dimensional model of a $p_x+i{p}_y$ superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diagonalization of the Bogoliubov-de Gennes operator. We find that, at zero temperature and for constant director $\mathbf{l}$, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula ${\mathbf{j}}_{\mathrm{mass}}=\frac{1}{2}\mathrm{curl}(\rho \hslash \mathbf{l}/2)$.

ReVTeX, 20 pages, 10figures

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