Quasiparticle scattering time in P-wave-superconductors

Coffey, L.; Rice, T. M.; Ueda, Kento

doi:10.1088/0022-3719/18/26/008

Cited by 31 publications

(11 citation statements)

References 7 publications

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“…We observe that the normalized longitudinal thermal conductivity decreases as temperature decreases from T = T c , and T -linear behavior for d-wave superconductors at low temperatures. These behaviors at low temperatures are wellknown results [13,49].…”

Section: A Volovik Effectsupporting

confidence: 77%

“…. , ∞ at the relaxation time τ 0 = 10h/ 0 (0) and scattering phase shift sin 2 δ 0 = 0. v s = 0, since the experimental results on the longitudinal thermal conductivity in heavy-fermion superconductors and Zn-doped YBCO were explained by taking into account impurity scattering close to the unitarity limit [11,15,16,49], and tan θ H /H and κ xy /H in the zero magnetic-field limit H → 0 were estimated experimentally by the initial slope in the H dependence of κ xy in Refs. [7,9].…”

Section: B Impurity Effectmentioning

confidence: 99%

“…[9], where tan θ H and H denote the thermal Hall angle and the external magnetic field, respectively. It is also imperative to consider impurity scattering close to the unitarity limit to explain the experimental results on the longitudinal thermal conductivity in heavy-fermion superconductors and Zn-doped YBCO [11,15,16,49]. Thus, we also study the impurity effect on the thermal Hall conductivity and the thermal Hall angle in a d-wave superconductor, using the impurity self-energy by t-matrix approximation [11,13,15,16,20,50].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: A Volovik Effectsupporting

confidence: 77%

Section: B Impurity Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…It has been assumed that there is no interband scattering and that τ N,l = τ N . Note that τ l,k does not have the same form as that for a conventional isotropic superconductor due to the odd-parity coherence factors [16,17]. In calculating these properties it has been assumed that the density of states corresponds to that of a clean system.…”

mentioning

confidence: 99%

Orbital Dependent Superconductivity inSr2RuO4

1997

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We show that for superconducting Sr2RuO4 any unconventional pairing in the part of the Fermi surface with Ru 4dxy orbital character is weakly coupled to that with Ru {4dxz, 4dyz} orbital character. This naturally gives rise to two disparate energy scales in the superconducting state which leads to novel low temperature properties in a variety of thermodynamic and transport properties and which would also account for the large residual density of states seen in specific heat and NQR measurements. 74.25.Bt,71.27.+d Sr 2 RuO 4 provides the first example of a layered perovskite material that exhibits superconductivity without the presence of copper [1]. Even though there is a close structural similarity with the high T c materials, the electronic properties are very different. While it is clear that electron correlation effects are important in Sr 2 RuO 4 , the normal state near the superconducting transition is well described by a quasi-2D Landau Fermi liquid (e.g. the resistivity in all directions follows a T 2 behavior for T < ∼ 50 K and the resistivity along and perpendicular to the c axis differ by a factor of 850 [1]). Quantum oscillations show three Fermi surface sheets with a 2D topology that agrees well with band structure calculations [2]. It has been pointed out [3] that the mass enhancement is similar to that of 3 He and that there is a metallic ferromagnetic phase in SrRuO 3 [4] (the 3D analogue of Sr 2 RuO 4 ). These observations indicate that an odd-parity (l = 1) superconducting state is likely [3]. This is consistent with the lack of a Hebel-Slichter peak in 1/T 1 in NQR measurements [5]. A weak coupling analysis of the odd-parity state implies the gap should be of constant magnitude [3]. It is therefore surprising that specific heat [6] and NQR measurements [5] reveal that approximately 0.6 of the normal density of states remain in the superconducting phase in clean samples (those in which quantum oscillations were observed). As a consequence it has been proposed that an exotic non-unitary superconducting state similar to the 3 He A 1 phase is stabilized [7,8]. In this scheme, the normal state quasiparticle energy spontaneously splits into two branches (one for spin up and one for spin down) upon entering the superconducting state. One of these branches is gapped while the other is not, leading to a residual density of states that is half the normal density of states.Here we propose an alternative explanation for the large residual density of states. The electronic properties near the Fermi surface of Sr 2 RuO 4 are determined by Wannier functions with Ru d xy , d xz , and d yz orbital character [9,10]. We show that the quasi-2D nature of the electronic dispersion implies that the bands are derived from either the xy or the {xz, yz} Wannier functions and that the pair scattering amplitude between these two classes of bands will be significantly smaller than the intraclass pair scattering amplitude for unconventional superconducting order parameters. It can therefore be expected that the gap on b...

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“…Using it, we calculate the thermal Hall angle in s-and d-wave superconductors as a function of temperature to study the enhancement of the thermal Hall angle in d-wave superconductors. It is also imperative to consider impurity scattering close to the unitarity limit to explain the experimental results on the longitudinal thermal conductivity of heavy-fermion superconductors and Zn doped YBCO 11,15,16,41 . Thus, we also study the impurity effect on the thermal Hall conductivity and the thermal Hall angle in a d-wave superconductor, using the impurity self-energy by t-matrix approximation 11,13,15,16,19,42 .…”

Section: Introductionmentioning

confidence: 99%

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

Ueki,

Morita,

Ohuchi

et al. 2019

Preprint

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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.

show abstract

Quasiparticle scattering time in P-wave-superconductors

Cited by 31 publications

References 7 publications

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

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

Orbital Dependent Superconductivity inSr2RuO4

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

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