Mass flows and angular momentum density for $p_x+ip_y$ paired fermions in a harmonic trap
arXiv:cond-mat/0702412 · doi:10.1016/j.aop.2007.04.020
Abstract
We present a simple two-dimensional model of a $p_x+ip_y$ 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 $\bf l$, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula ${\bf j}_{\rm mass}= \frac 12 {\rm curl} (Ï\hbar {\bf l}/2)$.
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