Critical magnetic fields in a superconductor coupled to a superfluid

Haber, Alexander; Schmitt, Andreas

doi:10.1103/physrevd.95.116016

Cited by 32 publications

(84 citation statements)

References 59 publications

(116 reference statements)

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“…In summary, we analyzed vortex lattice solutions using only the classical Lagrangian and have so far ignored the role of temperature [33], quantum fluctuations and quasi-momentum excitations of the hexagonal vortex lattice. These excitations [31] are known to play an important role in determining the stability of the lattice structure and the resulting phonon spectrum.…”

Section: Resultsmentioning

confidence: 99%

Magnetic vortex lattices in finite isospin chiral perturbation theory

Adhikari

2019

Physics Letters B

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We study finite isospin chiral perturbation theory (χPT) in a uniform external magnetic field and find the condensation energy of magnetic vortex lattices using the method of successive approximations (originally used by Abrikosov) near the upper critical point beyond which the system is in the normal vacuum phase. The difference between standard Ginzburg-Landau (GL) theory (or equivalently the Abelian Higgs model) and χPT arises due to the presence of additional momentum-dependent (derivative) interactions in χPT and the presence of electromagnetically neutral pions that interact with the charged pions via strong interactions but do not couple directly to the external magnetic field. We find that while the vortex lattice structure is hexagonal similar to vortices in GL theory, the condensation energy (relative to the normal vacuum state in a uniform, external magnetic field) is smaller (larger in magnitude) due to the presence of derivative interactions. Furthermore, we establish that neutral pions do not condense in the vortex lattice near the upper critical field.

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Section: Resultsmentioning

confidence: 99%

Magnetic vortex lattices in finite isospin chiral perturbation theory

Adhikari

2019

Physics Letters B

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“…This would require a fully numerical study of the flux tube lattice, as explained in more detail in Ref. [13].…”

Section: Strategy Of Our Calculationmentioning

confidence: 99%

New color-magnetic defects in dense quark matter

Haber

Schmitt

2018

J. Phys. G: Nucl. Part. Phys.

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Color-flavor locked (CFL) quark matter expels color-magnetic fields due to the Meissner effect. One of these fields carries an admixture of the ordinary abelian magnetic field and therefore flux tubes may form if CFL matter is exposed to a magnetic field, possibly in the interior of neutron stars or in quark stars. We employ a Ginzburg-Landau approach for three massless quark flavors, which takes into account the multi-component nature of color superconductivity. Based on the weakcoupling expressions for the Ginzburg-Landau parameters, we identify the regime where CFL is a type-II color superconductor and compute the radial profiles of different color-magnetic flux tubes. Among the configurations without baryon circulation we find a new solution that is energetically preferred over the flux tubes previously discussed in the literature in the parameter regime relevant for compact stars. Within the same setup, we also find a new defect in the 2SC phase, namely magnetic domain walls, which emerge naturally from the previously studied flux tubes if a more general ansatz for the order parameter is used. Color-magnetic defects in the interior of compact stars allow for sustained deformations of the star, potentially strong enough to produce detectable gravitational waves. * Electronic address: ahaber@hep.itp.tuwien.ac.at † Electronic address: a.schmitt@soton.ac.uk

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“…According to Ref. [34], the point κ = 1/ √ 2 does not separate the topologically different type-I and type-II phases in this case, and situation is more complicated. Since the results of the present paper are not affected by these complications, we will nevertheless call the region where κ > 1/ √ 2 as type-II superconductivity region, and where κ < 1/ √ 2 as type-I superconductivity region for simplicity.…”

Section: Lepton Transport Coefficients In Superconducting Ns Coresmentioning

confidence: 84%

“…Since A is inversely proportional to ∆, it is higher for lower ∆ (lower T cp ). For the NS core conditions, A can 2 Notice, that this criterion modifies in the superfluidsuperconducting mixtures [34] which is quite possible in NS cores where (in large part at least) neutrons can also be in the superfluid state. According to Ref.…”

Section: Lepton Transport Coefficients In Superconducting Ns Coresmentioning

confidence: 99%

Transport coefficients of leptons in superconducting neutron star cores

Shternin

2018

Phys. Rev. D

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I consider the thermal conductivity and shear viscosity of leptons (electrons and muons) in the nucleon neutron star cores where protons are in the superconducting state. I restrict the consideration to the case of not too high temperatures T 0.35Tcp, where Tcp is the critical temperature of the proton pairing. In this case, lepton collisions with protons can be neglected. Charged lepton collision frequencies are mainly determined by the transverse plasmon exchange and are mediated by the character of the transverse plasma screening. In our previous works [Shternin & Yakovlev, Phys. Rev. D 75 103004 (2007); 78 063006 (2008)] the superconducting proton contribution to the transverse screening was considered in the Pippard limit ∆ ≪ qvFp, where ∆ is the proton pairing gap, vFp is the proton Fermi velocity, and q is the typical transferred momentum in collisions. However, for large critical temperatures (large ∆) and relatively small densities (small q) the Pippard limit may become invalid. In the present study I show that this is indeed the case and that the older calculations severely underestimated the screening in a certain range of the parameters appropriate to the neutron star cores. As a consequence, the kinetic coefficients at T ≪ Tcp are found to be smaller than in previous calculations.

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Critical magnetic fields in a superconductor coupled to a superfluid

Cited by 32 publications

References 59 publications

Magnetic vortex lattices in finite isospin chiral perturbation theory

Magnetic vortex lattices in finite isospin chiral perturbation theory

New color-magnetic defects in dense quark matter

Transport coefficients of leptons in superconducting neutron star cores

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