Low-Temperature Thermodynamic Properties of Vanadium. II. Mixed State

Radebaugh, Ray; Keesom, P. H.

doi:10.1103/physrev.149.217

Cited by 119 publications

(39 citation statements)

References 43 publications

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“…Evaluation of the average coupling from the specific-heat measurements 54 yields an enhancement of 1.00 for V and 1.17 for N b (see Table II). If one uses a more recent value 55 of γ for V rather than listed in Ref. 54 one obtains the enhancement λ s−h = 1.17 which is nearly coincides in this metal with our λ = 1.19 .…”

Section: Resultssupporting

confidence: 78%

Electron-phonon interactions and related physical properties of metals from linear-response theory

1996

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Spectral distribution functions of electron-phonon interaction α 2 F (ω) obtained by ab initio linear-response calculations are used to describe various superconducting and transport properties in a number of elemental metals such as Al, Cu, M o, N b, P b, P d, T a, and V. Their lattice dynamics and self-consistently screened electron-phonon coupling are evaluated within local density functional theory and using linear-muffin-tin-orbital basis set. We compare our theoretical α 2 F (ω) with those deduced from the tunneling measurements and find a close agreement between them. Temperature dependent electrical and thermal resistivities as well as transport constants λtr also agree well with the experimental data. The values of λtr are close to the electron-phonon coupling parameter λ. For the later a very good agrement with specific-heat measurements was found without any paramagnon contribution, except in P d. We conclude that our method provides the description of electron-phonon interactions in tested materials with the accuracy 10%.

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Section: Resultssupporting

confidence: 78%

Electron-phonon interactions and related physical properties of metals from linear-response theory

1996

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“…41 Specific heat 32 and ultrasonic attenuation 42 measurements suggest that the anisotropy of the superconducting energy gap in V is approximately 10 %. According to the calculations of Ref.…”

Section: Magnetic Field Dependences Of λ and ξmentioning

confidence: 99%

Muon spin rotation measurements of the vortex state in vanadium: A comparative analysis using iterative and analytical solutions of the Ginzburg-Landau equations

et al. 2006

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We report muon spin rotation measurements on a single crystal of the marginal type-II superconductor V. The measured internal magnetic field distributions are modeled assuming solutions of the Ginzburg-Landau (GL) equations for an ideal vortex lattice obtained using (i) an iterative procedure developed by E.H. Brandt, Phys. Rev. Lett. 78, 2208Lett. 78, (1997 and (ii) a variational method. Both models yield qualitatively similar results. The magnetic penetration depth λ and the GL coherence length ξ determined from the data analysis exhibit strong field dependences, which are attributed to changes in the electronic structure of the vortex lattice. The zero-field extrapolated values of λ and the GL parameter κ agree well with values obtained by other experimental techniques that probe the Meissner state.

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“…5 the results of a type-II superconductor, vanadium (V), quoted from ref. 22. The magnitude of T c , ∆C/T | T =T c , dH c2 /dT | T =T c , and κ 2 (T c ) (= κ GL ≡ λ/ξ) of V are scaled to those of UBe 13 at zero field, where λ and ξ denote magnetic penetration depth and correlation length, respectively.…”

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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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Low-Temperature Thermodynamic Properties of Vanadium. II. Mixed State

Cited by 119 publications

References 43 publications

Electron-phonon interactions and related physical properties of metals from linear-response theory

Electron-phonon interactions and related physical properties of metals from linear-response theory

Muon spin rotation measurements of the vortex state in vanadium: A comparative analysis using iterative and analytical solutions of the Ginzburg-Landau equations

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

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Low-Temperature Thermodynamic Properties of Vanadium. II. Mixed State

Cited by 119 publications

References 43 publications

Electron-phonon interactions and related physical properties of metals from linear-response theory

Electron-phonon interactions and related physical properties of metals from linear-response theory

Muon spin rotation measurements of the vortex state in vanadium: A comparative analysis using iterative and analytical solutions of the Ginzburg-Landau equations

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