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

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

Yusuke Masaki, Takeshi Mizushima, and Muneto Nitta

Phys. Rev. Research 2, 013193 – Published 24 February 2020

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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Received 17 September 2019
Revised 7 January 2020
Accepted 8 January 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.013193

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Vortices in superfluids

Superfluids

Bogoliubov-de Gennes equations

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yusuke Masaki ^*

Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan and Department of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan

Takeshi Mizushima

Department of Materials Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan

Muneto Nitta

Department of Physics, Keio University, Hiyoshi 4-1-1, Japan and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan

^*masaki@cmpt.phys.tohoku.ac.jp

Critical end point and universality class of neutron ${}^{3}P_{2}$ superfluids in neutron stars

Takeshi Mizushima, Shigehiro Yasui, and Muneto Nitta

Phys. Rev. Research 2, 013194 (2020)

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Vol. 2, Iss. 1 — February - April 2020

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