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Mass flows and angular momentum density for $p_x+ip_y$ paired fermions in a harmonic trap

Michael Stone·Inaki Anduaga
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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 ${\bf j}_{\rm mass}= \frac 12 {\rm curl} (ρ\hbar {\bf l}/2)$.

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Michael Stone, Inaki Anduaga. 2007-02-17. Mass flows and angular momentum density for $p_x+ip_y$ paired fermions in a harmonic trap. https://doi.org/10.1016/j.aop.2007.04.020

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