Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors

Ohuchi, Mayuko; Ueki, Hikaru; Kita, Takafumi

doi:10.7566/jpsj.86.073702

Cited by 8 publications

(29 citation statements)

References 26 publications

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“…In the s-wave case, the temperature dependence of the charge density at the origin is studied in Ref. 25. In a similar way, we study the dependence of chiral p-wave cases.…”

Section: B Temperature Dependencementioning

confidence: 96%

“…The phase transformation of the Green's function in real space is convenient to take account of the gauge invariance in the mixed representation. First of all we formulate the augmented quasiclassical theory following the earlier works in the Matsubara formalism 25,26,38 . The Green's function in the mixed representation is introduced as the Fourier transform with respect to the relative coordinate r = r 1 − r 2 of the phase transformed Green's function…”

Section: Formulationmentioning

confidence: 99%

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Vortex charges and impurity effects based on quasiclassical theory in an s -wave and a chiral p -wave superconductor

Yumoto

2019

Phys. Rev. B

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We investigate charge densities around the vortex cores of an s-wave and a chiral p-wave superconductor (SC) in two dimension within quasiclassical theory. We consider contributions of particle-hole asymmetry through gradient expansions in first order of a quasiclassical parameter using augmented quasiclassical theory. The chiral p-wave SC has two inequivalent vortices: one is charged and the other is uncharged on the basis of Bogoliubov-de Gennes (BdG) equation. We explain this qualitatively distinct charges also by the augmented quasiclassical theory. In addition, we find that much larger charge is induced for the charged vortex of the chiral p-wave SC compared with the vortex of the s-wave SC in the clean system. We also confirm this enhancement through quantitative comparison with results based on the BdG theory. We also study effects of Born-type impurities using self energy formalism and find that the larger charge density is rather suppressed in contrast to the s-wave's one. Furthermore we study the local density of states as another equilibrium property of particle-hole asymmetry.

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“…In the s-wave case, the temperature dependence of the charge density at the origin is studied in Ref. 25. In a similar way, we study the dependence of chiral p-wave cases.…”

Section: B Temperature Dependencementioning

confidence: 96%

Section: Formulationmentioning

confidence: 99%

Vortex charges and impurity effects based on quasiclassical theory in an s -wave and a chiral p -wave superconductor

Yumoto

2019

Phys. Rev. B

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“…We consider type-II superconductors with pinned vortices and neglect the pair-potential-gradient force [51][52][53] and the pressure difference arising from the slope in the density of states (DOS) [54], which only contribute to the vortex-core charging in this case, since the charge in a pinned vortex does not contribute to thermal conductivity. For simplicity, we also restrict ourselves to the spin-singlet pairing without spin paramagnetism.…”

Section: Augmented Quasiclassical Equationsmentioning

confidence: 99%

Drastic enhancement of the thermal Hall angle in a d -wave superconductor

Ueki¹,

Morita²,

Ohuchi³

et al. 2020

Phys. Rev. B

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A drastic enhancement of the thermal Hall angle in d-wave superconductors was observed experimentally in a cuprate superconductor and in CeCoIn 5 at low temperatures and very weak magnetic field [Phys. Rev. Lett. 86, 890 (2001); Phys. Rev. B 72, 214515 (2005)]. However, to the best of our knowledge, its microscopic calculation has not been performed yet. To study this microscopically, we derive the thermal Hall coefficient in extreme type-II superconductors with an isolated pinned vortex based on the augmented quasiclassical equations of superconductivity with the Lorentz force. Using it, we can confirm that the quasiparticle relaxation time and the thermal Hall angle are enhanced in d-wave superconductors without impurities of the resonant scattering because quasiparticles around the gap nodes which become dominant near zero temperature are restricted to the momentum in a specific orientation. This enhancement of the thermal Hall angle may also be observed in other nodal superconductors with large magnetic-penetration depth.

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“…Let us carry out a perturbation expansion with respect to the Lorentz and PPG forces as g R = g R 0 + g R 1 · · · and g R(1) = 29,36,42) which is performed up to the first order in the quasiclassical parameter δ below. We also use Eq.…”

Section: Charge and Current Densitiesmentioning

confidence: 99%

Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations

2018

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We derive augmented Eilenberger equations that incorporate the following missing force terms: (i) the Lorentz force, (ii) the pair-potential gradient (PPG) force, and (iii) the pressure difference arising from the slope in the density of states (DOS). Recently, augmented Eilenberger equations with the Lorentz and PPG forces have been derived microscopically by studying the Hall and charging effects in superconductors, but the pressure due to the slope in the DOS has not yet been considered in augmented Eilenberger equations, despite phenomenological indications that it is a charging mechanism in a vortex of type-II superconductors. This newly added pressure is called "the SDOS pressure". We calculate the charging in an isolated vortex of an s-wave superconductor with a spherical Fermi surface using the augmented Eilenberger equations incorporating the Lorentz force, PPG force, and SDOS pressure. When we compare the charge densities due to the three force terms in the augmented Eilenberger equations, the vortex-core charging due to the SDOS pressure is larger than that due to the other forces near the superconducting transition temperature. Thus, when we calculate the charging in an isolated vortex of a superconductor with a finite slope in the DOS, we should consider not only the Lorentz and PPG forces but also the SDOS pressure.

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Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors

Cited by 8 publications

References 26 publications

Vortex charges and impurity effects based on quasiclassical theory in an s -wave and a chiral p -wave superconductor

Vortex charges and impurity effects based on quasiclassical theory in an s -wave and a chiral p -wave superconductor

Drastic enhancement of the thermal Hall angle in a d -wave superconductor

Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations

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