Magnetic Field Penetration Depth in the Heavy-Electron Superconductor U<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Einzel, Dietrich; Hirschfeld, P. J.; Groß, F.; Chandrasekhar, B. S.; Andres, K.; Ott, H. R.; Beuers, J.; Fisk, Z.; Smith, J. L.

doi:10.1103/physrevlett.56.2513

Cited by 150 publications

(35 citation statements)

References 15 publications

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“…We also note that the low-temperature data (T ≤ 2 K) can be reasonably well described by T 2 and T 3 power law fits (green and blue broken curves in Fig. 3, respectively), leaving open the possibility of point nodes or the special case of an equatorial line node 49 (which would require that the magnitudes of the spin-singlet and triplet components be exactly equal).…”

Section: λ 4γµmentioning

confidence: 98%

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

et al. 2015

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We have employed muon spin relaxation and rotation (µSR) to investigate the superconducting properties of the noncentrosymmetric superconductor CaIrSi 3 . Measurements of single-crystal specimens confirm the development of a robust superconducting state below T c = 3.55 ± 0.1 K with a ground-state magnetic penetration depth of λ L = 288 ± 10 nm and a coherence length of ξ = 28.8 ± 0.1 nm. The temperature evolution of the superfluid density indicates a nodeless superconducting gap structure dominated by an isotropic spin-singlet component in the dirty limit, with a carrier density of n = (4.6 ± 0.2) × 10 22 cm −3 as determined by Hall resistance measurements. We find no evidence of spontaneous time-reversal symmetry breaking in the superconducting state within an accuracy of 0.05 G. These observations suggest that the influence of any spin-triplet pairing component or multiple gap structure associated with noncentrosymmetric physics is very weak or entirely absent in CaIrSi 3 .

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Section: λ 4γµmentioning

confidence: 98%

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

et al. 2015

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“…A detailed experimental and theoretical study for the axial and polar states was presented in Ref. [63,85]. The following low-temperature asymptotics were obtained for different orientations of A and l :…”

Section: Spin Triplet Pairingmentioning

confidence: 99%

Magnetic penetration depth in unconventional superconductors

Prozorov

Giannetta

2006

Supercond. Sci. Technol.

418

438

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Abstract. This topical review summarizes various features of magnetic penetration depth in unconventional superconductors. Precise measurements of the penetration depth as a function of temperature, magnetic field and crystal orientation can provide detailed information about the pairing state. Examples are given of unconventional pairing in hole-and electron-doped cuprates, organic and heavy fermion superconductors. The ability to apply an external magnetic field adds a new dimension to penetration depth measurements. We discuss how field dependent measurements can be used to study surface Andreev bound states, nonlinear Meissner effects, magnetic impurities, magnetic ordering, proximity effects and vortex motion. We also discuss how penetration depth measurements as a function of orientation can be used to explore superconductors with more than one gap and with anisotropic gaps. Details relevant to the analysis of penetration depth data in anisotropic samples are also discussed.Keywords: penetration depth, unconventional superconductivity, pairing symmetry IntroductionThe early suggestion that high temperature superconductors might exhibit unconventional, d-wave pairing, [24,11,154,8] has lead to a wide variety of new experimental probes with sensitivity sufficient to test this hypothesis. The pioneering work of Hardy and coworkers demonstrated that high resolution measurements of the London penetration depth could detect the presence of nodal quasiparticles characteristic of a d-wave pairing state [87]. Since that time, a large number of new superconductors have been discovered, many of which exhibit nontrivial departures from BCS behavior. As we show in this review, penetration depth measurements can be used to examine not only nodal quasiparticles but two-gap superconductivity, anisotropy of the energy gap, Andreev surface states, nonlinear Meissner effect, interplane transport, proximity coupled diamagnetism, vortex matter and the coexistence of magnetism and superconductivity, to name several problems of current interest.

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“…Despite prolonged scientific efforts to unravel the superconductivity of this material, many open questions remain, in particular concerning the symmetry of Cooper pairing and the unusual SC phase diagram. 2,3) As for the SC gap structure, which is related to the parity of Cooper pairing, the temperature dependence of low-T specific heat C(T ) 4) and magnetic field penetration depth λ(T ) 5) suggest the presence of point nodes, whereas nuclear magnetic resonance (NMR) spin-relaxation rate 1/T 1 6) and ultrasonic attenuation α(T ) 7) suggest a line node. A p-wave AndersonBrinkman-Morel (ABM) state, which is identified as the A phase in superfluid 3 He, 8) has been proposed for the SC of UBe 13 from the T 3 -like behavior observed in the low-T specific heat.…”

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confidence: 99%

Maki Parameter and Upper Critical Field of the Heavy-Fermion Superconductor UBe₁₃

et al. 2011

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We have performed low-temperature specific-heat measurements in magnetic fields for a single crystal UBe 13 . It has been observed that our sample exhibits a superconducting transition at an intermediate temperature (T c ∼ 0.81 K) between previously reported values for two variant samples called H type and L type. The specific heat C(T ) of our sample shows a T 3 behavior below ∼ 0.7 T c , which is similar to the behavior of the H-type sample, suggesting the existence of point nodes in the superconducting gap function. We have obtained the upper-critical-field curves H c2 for the [001], [110], and [111] crystal axes, which show no anisotropy at least down to the lowest measured temperature of 0.5 K. We have also derived the Maki parameter κ 2 , and it has been revealed that the κ 2 steeply decreases isotropically upon cooling just below T c . Paramagnetic effects and the symmetry of Cooper pairing of UBe 13 are discussed. KEYWORDS: Unconventional Superconductor, Heavy Fermion, Paramagnetic EffectThe heavy-fermion compound UBe 13 has attracted much attention since the discovery of unconventional superconductivity 27 years ago. 1) UBe 13 has a cubic structure with the space group O h 6 (Fm−3c), and exhibits a superconducting (SC) transition at around 0.85 K with a large specific-heat jump ∆C. Despite prolonged scientific efforts to unravel the superconductivity of this material, many open questions remain, in particular concerning the symmetry of Cooper pairing and the unusual SC phase diagram. 2, 3)As for the SC gap structure, which is related to the parity of Cooper pairing, the temperature dependence of low-T specific heat C(T ) 4) and magnetic field penetration depth λ(T ) 5) suggest the presence of point nodes, whereas nuclear magnetic resonance (NMR) spin-relaxation rate 1/T 1 6) and ultrasonic attenuation α(T ) 7) suggest a line node. A p-wave AndersonBrinkman-Morel (ABM) state, which is identified as the A phase in superfluid 3 He,8) has been proposed for the SC of UBe 13 from the T 3 -like behavior observed in the low-T specific heat.4) An early NMR study also suggests the occurrence of the ABM state, because the Knight shift does not decrease below T c . 9) However, recent muon spin-rotation (µSR) measurements performed in field, H || [001], have revealed that the muon Knight shift shows a clear decrease below T c . 10)Furthermore, a recent NMR study by Tou et al. has suggested that the Knight shift decreases below T * ( ∼ 0.7 K < T c ) for [001], whereas increases below T * for [111]. 11) Therefore, no consensus has been achieved regarding the behavior of Knight shift below T c as well as the SC-gap structure. Namely, it is still debated whether the Cooper-pairing state of UBe 13 is triplet or singlet.In order to obtain further information about the parity of Cooper pairing, it is important to investigate the presence (or absence) of paramagnetic effects. The value of H c2 estimated experimentally by extrapolation to T = 0 for UBe 13 is about 80-130 kOe, which is much larger than the Pauli limit * E-mai...

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Magnetic Field Penetration Depth in the Heavy-Electron Superconductor UBe13

Cited by 150 publications

References 15 publications

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

Magnetic penetration depth in unconventional superconductors

Maki Parameter and Upper Critical Field of the Heavy-Fermion Superconductor UBe₁₃

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Magnetic Field Penetration Depth in the Heavy-Electron Superconductor UBe13

Cited by 150 publications

References 15 publications

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

Superconducting properties of noncentrosymmetric superconductorCaIrSi3investigated by muon spin relaxation and rotation

Magnetic penetration depth in unconventional superconductors

Maki Parameter and Upper Critical Field of the Heavy-Fermion Superconductor UBe13

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Maki Parameter and Upper Critical Field of the Heavy-Fermion Superconductor UBe₁₃