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.
Highlights
Superfluidity and superconductivity are two of the most extraordinary states of matter
We have studied axisymmetric vortices in 3P2 superfluids, using microscopic theory: the Eilenberger equation to determine the order parameters and the Bogoliubov-de Gennes (BdG) equation to study the eigenenergies and the core magnetization
We have found that several features as a multicomponent superfluid are common to the superfluid 3He-B phase, though they are overlooked in the GL theory for 3P2 superfluids, e.g., the existence of the
Summary
Superfluidity and superconductivity are two of the most extraordinary states of matter. 3P2 superfluids with vortices are categorized into the class D of the topological periodic table, and remaining discrete symmetry plays a critical role on the topological protection of the zero energy vortex-bound states [63,64]. In the presence of axisymmetry, an o vortex is stable for strong magnetic field and allows spin-degenerate (two) zero-energy Majorana fermions in its core. This finding may be important to comprehension of the cooling rate and the changes of rotating rate of neutron stars. We obtain the eigenenergies of fermion excitations and core magnetizations which consist of order parameter modulations and fermion bound states using the BdG equation.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
