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

Michael Stone; Inaki Anduaga

doi:10.1016/j.aop.2007.04.020

paper

Mass flows and angular momentum density for $p_{x} + i p_{y}$ 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 $p_{x} + i p_{y}$ 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 $l$ , the mass flow closely follows the Ishikawa-Mermin-Muzikar formula $j_{mass} = \frac{1}{2} curl (I ¨ ℏ l /2)$ .

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Mass flows and angular momentum density for px​+ipy​ paired fermions in a harmonic trap

Abstract

Mass flows and angular momentum density for $p_{x} + i p_{y}$ paired fermions in a harmonic trap