Impurity scattering in isotropic
                    <i>p</i>
                    -wave superconductors

Maki, Kazumi; Puchkaryov, E.

doi:10.1209/epl/i1999-00156-5

Cited by 29 publications

(30 citation statements)

References 29 publications

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“…This is consistent with the well-known universal thermal transport [29][30][31] of a superconducting state with line nodes; while it is completely different from what is expected for the isotropic chiral p-wave case. For isotropic chiral p-wave, the residual thermal conductivity becomes vanishingly small 33,34 in the zero impurity scattering limit, since the number of low energy excitations available for heat transport decreases rapidly below the isotropic superconducting gap and impurity induced sub-gap states are localized 35 .…”

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confidence: 99%

Effects of deep superconducting gap minima and disorder on residual thermal transport in Sr2RuO4

2018

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Recent thermal conductivity measurements on Sr2RuO4 [E. Hassinger et al., Phys. Rev. X 7, 011032 (2017)] were interpreted as favoring a pairing gap function with vertical line nodes while conflicting with chiral p-wave pairing. Motivated by this work we study the effects of deep superconducting gap minima on impurity induced quasiparticle thermal transport in chiral p-wave models of Sr2RuO4. Combining a self-consistent T-matrix analysis and self-consistent Bogoliubovde-Gennes calculations, we show that the dependence of the residual thermal conductivity on the normal state impurity scattering rate can be quite similar to the d-wave pairing state that was shown to fit the thermal conductivity measurements, provided the normal state impurity scattering rate is large compared with the deep gap minima. Consequently, thermal conductivity measurements on Sr2RuO4 can be reconciled with a chiral p-wave pairing state with deep gap minima. However, the data impose serious constraints on such models and these constraints are examined in the context of several different chiral p-wave models.arXiv:1810.00932v2 [cond-mat.supr-con]

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Section: Introductionmentioning

confidence: 99%

Effects of deep superconducting gap minima and disorder on residual thermal transport in Sr2RuO4

2018

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“…For Sr 2 RuO 4 the experiments of Nishizaki et al indicate that impurities strongly alter the low temperature properties even in the small impurity concentration limit [10]. This has previously been interpreted as an indication that Sr 2 RuO 4 is in the unitarity scattering limit [11]. Here it is shown that the Born approximation can explain the experimental results once the the unique microscopic (orbital dependent) nature of the superconducting state in Sr 2 RuO 4 is considered.The superconducting state described above is fully gapped so it is difficult to understand the experimental observation that only approximately half of the Fermi surface exhibited an energy gap [10].…”

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confidence: 56%

Impurities and orbital-dependent superconductivity inSr2RuO4

Agterberg¹

1999

Phys. Rev. B

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There now exists a wealth of experimental evidence that Sr2RuO4 is an odd-parity superconductor. Experiments further indicate that among the bands stemming from the Ru {xy, xz, yz} orbitals, the portion of the Fermi surface arising from the xy orbitals exhibits a much larger gap than the portions of the Fermi surface arising from the {xz, yz} orbitals. In this paper the role of impurities on such an orbital dependent superconducting state is examined within the Born approximation. In contrast to expected results for a nodeless p-wave superconductor the unique nature of the superconducting state in Sr2RuO4 implies that a low concentration of impurities strongly influences the low temperature behavior. 74.20.Mn,74.25.Bt,74.25.Jb Since the discovery of superconductivity in the layered oxide Sr 2 RuO 4 in 1994 [1] and the prediction of odd-parity superconductivity [2] it has been quickly established that the symmetry of the superconducting order parameter is indeed of odd parity. Early NQR [3], tunneling [4], and impurity studies [5] clearly indicated that Sr 2 RuO 4 is not a conventional superconductor. More recently µSr measurements reveal that the superconducting state breaks time reversal symmetry [6] and Knight shift measurements show no change in the spin susceptibility when passing through the superconducting transition [7]. These measurements indicate that the superconducting state is described by a spin-triplet pair amplitude with an orbital dependence η 1 k x + η 2 k y where (η 1 , η 2 ) ∝ (1, i) when no magnetic field is applied. Such a superconducting state is nodeless in a quasi-2D material. The effect of impurities within the Born approximation on a nodeless p-wave state has been well studied [8,9]. The results indicate that impurities do not drastically change the low temperature properties of the superconducting state unless a sufficiently large impurity concentration is present. For Sr 2 RuO 4 the experiments of Nishizaki et al. indicate that impurities strongly alter the low temperature properties even in the small impurity concentration limit [10]. This has previously been interpreted as an indication that Sr 2 RuO 4 is in the unitarity scattering limit [11]. Here it is shown that the Born approximation can explain the experimental results once the the unique microscopic (orbital dependent) nature of the superconducting state in Sr 2 RuO 4 is considered.The superconducting state described above is fully gapped so it is difficult to understand the experimental observation that only approximately half of the Fermi surface exhibited an energy gap [10]. It was suggested that this feature can be understood when the highly planar character and the electronic structure of the Ru ions are considered [12]. The formal valence is Ru 4+ which implies that the electronic properties are due to four electrons in bands described by Wannier functions with Ru d xy , d xz and d yz orbital character. The quasi-2D nature of the electronic dispersion and the different parity under the reflection symmetry σ z (z → −z...

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“…The object of this letter is to study the impurity effect in f-wave superconductivity. It is well known that impurity produces profound effect in unconventional superconductors [8,9]. Also for the analysis of transport properties the impurity scattering is crucial.…”

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confidence: 99%

Impurity scattering in f-wave superconductor UPt 3

Yang

Maki

2001

Eur. Phys. J. B

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received ; accepted ) PACS. 74.20-h -Theory. PACS. 74.25Bt -Thermodynamic properties. PACS. 74.25Fy -Transport properties.Abstract. -We study theoretically the effect of impurity scattering in f-wave (or E2u) superconductors. The quasi-particle density of states of f-wave superconductor is very similar to the one for d-wave superconductor as in hole-doped high Tc cuprates. Also in spite of anisotropy in ∆(k), both the normalized superfluid density and the thermal conductivity is completely isotropic.

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Impurity scattering in isotropic p -wave superconductors

Cited by 29 publications

References 29 publications

Effects of deep superconducting gap minima and disorder on residual thermal transport in Sr2RuO4

Effects of deep superconducting gap minima and disorder on residual thermal transport in Sr2RuO4

Impurities and orbital-dependent superconductivity inSr2RuO4

Impurity scattering in f-wave superconductor UPt 3

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