Spin-polarized phases of 
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 superfluids in neutron stars

Mizushima, Takeshi; Yasui, Shigehiro; Inotani, Daisuke; Nitta, Muneto

doi:10.1103/physrevc.104.045803

Cited by 9 publications

(5 citation statements)

References 91 publications

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“…In this case, vortices having winding only in either of 1 S 0 and 3 P 2 condensates would be further fractionalized. In addition, vortex states in the ferromagnetic phase appearing without quasi-classical approximation in the region close to the critical temperature [60] are also interesting to be investigated.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…Apart from nematic phases, more general uniform states of 3 P 2 superfluids were classified [59], which is also useful to identify local states such as vortex cores. As a uniform ground state, the ferromagnetic state is in fact found to appear, beyond the quasi-classical approximation, in the region close to the critical temperature [60]. The GL approach is useful to deal with bosonic collective excitations and topological defects.…”

Section: Introductionmentioning

confidence: 99%

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Core structures of vortices in Ginzburg-Landau theory for neutron $^3P_2$ superfluids

Kobayashi,

Nitta

2022

Preprint

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We investigate vortex solutions in the Ginzburg-Landau theory for neutron 3 P2 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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Section: Summary and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Core structures of vortices in Ginzburg-Landau theory for neutron $^3P_2$ superfluids

Kobayashi,

Nitta

2022

Preprint

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“…Magnetized nematic state. Recently, even in the weak coupling limit, non-unitary states are predicted in a magnetic field Mizushima et al (2021). As mentioned above, quasiclassical approximation, which treats the size of the Fermi surface as infinity, allows only the nematic states, which is unitary.…”

Section: Overview Of 3 2 Topological Sfsmentioning

confidence: 99%

“…For simplicity, Ref. Mizushima et al (2021) studies the case of = −1, i.e., in a strong magnetic field. In the quasiclassical limit, = 0 and the 4 -BN state is realized.…”

Section: Overview Of 3 2 Topological Sfsmentioning

confidence: 99%

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Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Yumoto¹,

Mizushima²,

Nitta³

2023

Preprint

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Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to topological quantum computations. Braiding of non-Abelian anyons corresponds to quantum computations. The simplest non-Abelian anyons are Ising anyons which can be realized by Majorana fermions hosted by vortices or edges of topological superconductors, = 5∕2 quantum Hall states, spin liquids, and dense quark matter. While Ising anyons are insufficient for universal quantum computations, Fibonacci anyons present in = 12∕5 quantum Hall states can be used for universal quantum computations. Yang-Lee anyons are nonunitary counterparts of Fibonacci anyons. Another possibility of non-Abelian anyons (of bosonic origin) is given by vortex anyons, which are constructed from non-Abelian vortices supported by a non-Abelian first homotopy group, relevant for certain nematic liquid crystals, superfluid 3 He, spinor Bose-Einstein condensates, and high density quark matter. Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons. That is 3 2 superfluids (spin-triplet, -wave paring of neutrons), expected to exist in neutron star interiors as the largest topological quantum matter in our universe.

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Superconductivity and superfluidity in neutron stars

Sedrakian¹,

Clark²

2024

Encyclopedia of Condensed Matter Physics

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Spin-polarized phases of P23 superfluids in neutron stars

Cited by 9 publications

References 91 publications

Core structures of vortices in Ginzburg-Landau theory for neutron $^3P_2$ superfluids

Core structures of vortices in Ginzburg-Landau theory for neutron $^3P_2$ superfluids

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Superconductivity and superfluidity in neutron stars

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