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

Ueki, Hikaru; Ohuchi, Mayuko; Kita, Takafumi

doi:10.7566/jpsj.87.044704

Cited by 11 publications

(24 citation statements)

References 58 publications

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“…, in evaluating the propagator, Eq. ( 6), which, in turn, induces the weak PHA in superconducting states [86][87][88]. Below, we demonstrate that the PHA drastically changes the linear coupling between external fields and collective modes.…”

Section: B Particle-hole Asymmetry In the Density Of Statementioning

confidence: 57%

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Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors

Matsushita,

Mizushima,

Vekhter

et al. 2021

Preprint

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Clapping modes, which are relative amplitude and phase modes between two chiral components of Cooper pairs, are bosonic collective modes inherent to chiral superconductors. These modes behave as long-lived bosons with masses smaller than the threshold energy, 2|∆|, for decay into unbound fermion pairs. Here, we clarify that the real/imaginary clapping modes in chiral superconductors directly couple to acoustic wave propagation when the weak particle-hole asymmetry of the normal state quasiparticle dispersion is taken into account. The clapping modes driven by an acoustic wave generate an alternating electric current, that is, the acoustoelectric effect in superconductors. Significantly, the clapping modes give rise to a transverse electric current. When the sound velocity is comparable to the Fermi velocity, as in heavy fermion compounds, the transverse current is resonantly enhanced at energy below the threshold for continuum excitations. This resonance provides a smoking-gun evidence of chiral superconductivity. I. INTRODUCTIONElectric Current Acoustic wave propagation Clapping mode Acoustic wave Chiral Cooper pair Amplitude mode phase mode Clapping mode FIG. 1. Schematic image of the AAEE in chiral superconductors: Clapping excitations of chiral Cooper pairs are driven by propagating acoustic waves, leading to transverse electric current.

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Section: B Particle-hole Asymmetry In the Density Of Statementioning

confidence: 57%

“…where Tr [• • • ] represents the trace in the Nambu space, the bracket, • • • FS,k F , denotes the Fermi surface average [87,95].…”

Section: B Particle-hole Asymmetry In the Density Of Statementioning

confidence: 99%

Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors

Matsushita,

Mizushima,

Vekhter

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…We may confirm this by solving the augmented quasiclassical equations directly in the vortex lattice system [14,64] (see Ref. [54] for the pair-potential-gradient force and the pressure difference arising from the slope in the DOS). This method can include not only the contribution of quasiparticles outside the core but also that of the Andreev-reflected quasiparticles [47,48] in the thermal conductivity.…”

Section: Discussionmentioning

confidence: 79%

“…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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“…We consider type-II superconductors with pinned vortices, and neglect the pair-potential-gradient force [43][44][45] and the pressure difference arising from the slope in the density of states (DOS) 46 , 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

Ueki,

Morita,

Ohuchi

et al. 2019

Preprint

Self Cite

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The drastic enhancement of the thermal Hall angle in d-wave superconductors was observed experimentally in cuprate superconductors and in CeCoIn5 at low temperatures and weak magnetic field. 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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Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations

Cited by 11 publications

References 58 publications

Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors

Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors

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

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

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