Quantitative theory of triplet pairing in the unconventional superconductor 
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Ghosh, S. K.; Csire, Gábor; Whittlesea, Philip; Annett, James F.; Gradhand, Martin; Újfalussy, B.; Quintanilla, Jorge

doi:10.1103/physrevb.101.100506

Cited by 39 publications

(43 citation statements)

References 56 publications

(86 reference statements)

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“…[15,16]. It has already been shown to effectively describe gap anisotropy [13] and impurity scattering [14], along with complex superconducting order parameters in LaNiC2 [21] and LaNiGa2 [22]. Within the nonrelativistic theory the densities are given by ρ(r) =ρ ↑ (r) + ρ ↓ (r), ( 4)…”

Section: Methodsmentioning

confidence: 99%

Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles

et al. 2022

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We have implemented the Bogoliubov-de Gennes equation in a screened Korringa-Kohn-Rostoker method for solving, self-consistently, the superconducting state for three-dimensional (3D) crystals including substitutional impurities. In this paper we extend this theoretical framework to allow for collinear magnetism and apply it to fcc Pb with 3D magnetic impurities. In the presence of magnetic impurities, there is a pair-breaking effect that results in in-gap Yu-Shiba-Rusinov (YSR) states which we decompose into contributions from the individual orbital character. We determine the spatial extent of these impurity states, showing how the different orbital character affects the details of the YSR states within the superconducting gap. Our work highlights the importance of a first-principles-based description which captures the quantitative details, making direct comparisons with experimental findings possible.

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Section: Methodsmentioning

confidence: 99%

Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles

et al. 2022

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“…In the case of LaNiC 2 , it was shown that the breaking of TRS at T c is incompatible with a significant influence of ASOC [18]. Moreover, the occurrence of TRS breaking together with two-gap superconductivity in both LaNiC 2 [19], as well as centrosymmetric LaNiGa 2 [20,21], was accounted for by an even-parity nonunitary triplet pairing state [21,22]. Furthermore, the recent findings of the signatures of TRS breaking in centrosymmetric elemental rhenium also suggests that broken inversion symmetry is not essential for this phenomenon in Re-based superconductors [13].…”

Section: Introductionmentioning

confidence: 99%

Nodeless superconductivity in Lu5−xRh6Sn18+x with broken time reversal symmetry

Wang

Nie

et al. 2021

Phys. Rev. B

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Evidence for broken time reversal symmetry (TRS) has been found in the superconducting states of the R 5 Rh 6 Sn 18 (R = Sc, Y, Lu) compounds with a centrosymmetric caged crystal structure, but the origin of this phenomenon is unresolved. Here, we report neutron diffraction measurements of single crystals with R = Lu, as well as measurements of the temperature dependence of the magnetic penetration depth using a self-induced tunnel-diode-oscillator (TDO)-based technique, together with band structure calculations using density functional theory. Neutron diffraction measurements reveal that the system crystallizes in a tetragonal caged structure, and that one of the nominal Lu sites in the Lu 5 Rh 6 Sn 18 structure is occupied by Sn, yielding a composition Lu 5−x Rh 6 Sn 18+x (x = 1). The low temperature penetration depth shift λ(T) exhibits an exponential temperature dependence below around 0.3T c , giving clear evidence for fully gapped superconductivity. The derived superfluid density is reasonably well accounted for by a single-gap s-wave model, whereas agreement cannot be found for models of TRS breaking states with two-component order parameters. Moreover, band structure calculations reveal multiple bands crossing the Fermi level, and indicate that the aforementioned TRS breaking states would be expected to have nodes on the Fermi surface, in contrast to the observations.

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“…Especially, for the magnetic Josephson junctions, the relative orien-tation of two d-vectors in STSs can be used to adjust the Andreev bound states 24 and to produce the Josephson current switches 25 or the 0-π phase transitions 26,27 valuable for the circuit element of quantum computation 28 . For the material realization of STSs, there are many theoretical and experimental researches for the identification of the spin-triplet pairing 18,[29][30][31] , which include the determination of the direction of the d-vector 32,33 . In addition, the spin-triplet pairing with a nonzero d-vector also appears in some superconducting material with the spin-orbit coupling.…”

Section: Introductionmentioning

confidence: 99%

Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$π$ transition, $ϕ_{0}$ phase and switch effects

Cheng,

Yan,

Sun

2021

Preprint

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We study the Josephson effect in spin-triplet superconductor−quantum anomalous Hall insulator−spin-triplet superconductor junctions using the nonequilibrium Green function method. The current-phase difference relations show strong dependence on the orientations of the d-vectors in superconductors. We focus on two d-vector configurations, the parallel one with the left and right d-vectors being in the same direction, and the nonparallel one with the left d-vector fixed at the z-axis. For the parallel configuration, the 0-π transition can be realized when one rotates the d-vectors from the parallel to the junction plane to the perpendicular direction. The φ0 phase with nonzero Josephson current at zero phase difference can be obtained as long as dxdz = 0. For the nonparallel configuration, the 0-π transition and the φ0 phase still exist. The condition for the formation of the φ0 phase becomes dRx = 0. The switch effects of the Josephson current are found in both configurations when the d-vectors are rotated in the xy plane. Furthermore, the symmetries satisfied by the current-phase difference relations are analysed in details by the operations of the time-reversal, mirror-reflections, the spin-rotation and the gauge transformation, which can well explain the above selection rules for the φ0 phase. Our results reveal the peculiar Josephson effect between spin-triplet superconductors and the quantum anomalous Hall insulator, which provide helpful phases and effects for the device designs. The distinct current-phase difference relations for different orientations may be used to determine the direction of the d-vector in the spin-triplet superconductor.

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Quantitative theory of triplet pairing in the unconventional superconductor LaNiGa2

Cited by 39 publications

References 56 publications

Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles

Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles

Nodeless superconductivity in Lu5−xRh6Sn18+x with broken time reversal symmetry

Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$π$ transition, $ϕ_{0}$ phase and switch effects

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