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arXiv · 1908.06215

Microscopic description of axisymmetric vortices in $^{3}P_{2}$ superfluids

Yusuke Masaki·Takeshi Mizushima·Muneto Nitta
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Abstract

We study quantized vortices in ${}^{3}P_{2}$ superfluids using a microscopic theory for the first time. The theory is based on the Eilenberger equation to determine the order parameters and the Bogoliubov-de Gennes (BdG) equation to obtain the eigenenergies and the core magnetization. Within axisymmetric vortex configurations, we find several stable and metastable vortex configurations which depend on the strength of a magnetic field, similar to a $v$ vortex and $o$ vortex in $^3$He superfluids. We demonstrate that the $o$ vortex is the most stable axisymmetric vortex in the presence of a strong magnetic field, and we find two zero-energy Majorana fermion bound states in the $o$-vortex core. We show that the profiles of the core magnetization calculated using the BdG equation are drastically different from those calculated using only the order parameter profiles known before.

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Yusuke Masaki, Takeshi Mizushima, Muneto Nitta. 2019-08-17. Microscopic description of axisymmetric vortices in $^{3}P_{2}$ superfluids. https://doi.org/10.1103/physrevresearch.2.013193

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