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

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

2007-02-17

arxiv.org/abs/cond-mat/0702412v1

Physics

Condensed Matter

Superconductivity

ReVTeX, 20 pages, 10figures

Scientific paper

10.1016/j.aop.2007.04.020

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 ${\bf j}_{\rm mass}= \frac 12 {\rm curl} (\rho \hbar {\bf l}/2)$.

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