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arXiv · 1702.04361

Multiply quantized vortices in fermionic superfluids: angular momentum, unpaired fermions, and spectral asymmetry

Abhinav Prem·Sergej Moroz·Victor Gurarie·Leo Radzihovsky
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Abstract

We compute the orbital angular momentum $L_z$ of an s-wave paired superfluid in the presence of an axisymmetric multiply quantized vortex. For vortices with winding number $|k| > 1$, we find that in the weak-pairing BCS regime $L_z$ is significantly reduced from its value $\hbar N k/2$ in the Bose-Einstein condensation (BEC) regime, where $N$ is the total number of fermions. This deviation results from the presence of unpaired fermions in the BCS ground state, which arise as a consequence of spectral flow along the vortex sub-gap states. We support our results analytically and numerically by solving the Bogoliubov-de-Gennes equations within the weak-pairing BCS regime.

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Abhinav Prem, Sergej Moroz, Victor Gurarie, Leo Radzihovsky. 2017-08-10. Multiply quantized vortices in fermionic superfluids: angular momentum, unpaired fermions, and spectral asymmetry. https://doi.org/10.1103/physrevlett.119.067003

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