TY - JOUR

T1 - Core structures of vortices in Ginzburg-Landau theory for neutron P2 3 superfluids

AU - Kobayashi, Michikazu

AU - Nitta, Muneto

N1 - Funding Information:
We would like to thank Yusuke Masaki for helpful discussions and comments. The work of M.K. is partly supported by JSPS KAKENHI (Grants No. 20K03765, No. 19KK0066), and by Osaka City University Advanced Mathematical Institute (MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849). The work of M.N. is supported in part by JSPS KAKENHI (Grant No. JP18H01217).
Publisher Copyright:
© 2022 American Physical Society.

PY - 2022/3

Y1 - 2022/3

N2 - We investigate vortex solutions in the Ginzburg-Landau theory for neutron P23 superfluids relevant for neutron star cores in which neutron pairs possess the total angular momentum J=2 with spin triplet and P wave, in the presence of the magnetic field parallel to the angular momentum of vortices. The ground state is known to be in the uniaxial nematic (UN) phase in the absence of magnetic field, while it is in the D2 (D4) biaxial nematic (BN) phase in the presence of the magnetic field below (above) the critical value. We find that a singly quantized vortex always splits into two half-quantized non-Abelian vortices connected by soliton(s) as a vortex molecule with any strength of the magnetic field. In the UN phase, two half-quantized vortices with ferromagnetic cores are connected by a linear soliton with the D4 BN order. In the D2 (D4) BN phase, two half-quantized vortices with cyclic cores are connected by three linear solitons with the D4 (D2) BN order. The energy of the vortex molecule monotonically increases and the distance between the two half-quantized vortices decreases with the magnetic field increases, except for a discontinuously increasing jump of the distance at the critical magnetic field. We also construct an isolated half-quantized non-Abelian vortex in the D4 BN phase.

AB - We investigate vortex solutions in the Ginzburg-Landau theory for neutron P23 superfluids relevant for neutron star cores in which neutron pairs possess the total angular momentum J=2 with spin triplet and P wave, in the presence of the magnetic field parallel to the angular momentum of vortices. The ground state is known to be in the uniaxial nematic (UN) phase in the absence of magnetic field, while it is in the D2 (D4) biaxial nematic (BN) phase in the presence of the magnetic field below (above) the critical value. We find that a singly quantized vortex always splits into two half-quantized non-Abelian vortices connected by soliton(s) as a vortex molecule with any strength of the magnetic field. In the UN phase, two half-quantized vortices with ferromagnetic cores are connected by a linear soliton with the D4 BN order. In the D2 (D4) BN phase, two half-quantized vortices with cyclic cores are connected by three linear solitons with the D4 (D2) BN order. The energy of the vortex molecule monotonically increases and the distance between the two half-quantized vortices decreases with the magnetic field increases, except for a discontinuously increasing jump of the distance at the critical magnetic field. We also construct an isolated half-quantized non-Abelian vortex in the D4 BN phase.

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U2 - 10.1103/PhysRevC.105.035807

DO - 10.1103/PhysRevC.105.035807

M3 - Article

AN - SCOPUS:85127504224

VL - 105

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 3

M1 - 035807

ER -