Superconducting Mixed-State-Structure Determination in Vanadium by Nuclear Magnetic Resonance and Relaxation

Fite, Warner; Redfield, Alfred G.

doi:10.1103/physrevlett.17.381

Cited by 57 publications

(14 citation statements)

References 13 publications

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“…Next, we discuss how the difference between p + and p − states is detected in the site-selective NMR measurement. From the internal field distribution B(r), we theoretically obtain the Redfield pattern [27] of the NMR resonance line shape, as P (ω) = δ(ω − B(r))dr, since the intensity at each resonance frequency ω comes from the volume satisfying ω = B(r) in a unit cell. In Sr 2 RuO 4 , P (B) was observed by μSR [28].…”

Section: Local Nmr Relaxation Ratementioning

confidence: 99%

Site-selective NMR for odd-frequency Cooper pairs around vortex in chiralp-wave superconductors

2016

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In order to identify the pairing symmetry with chirality, we study site-selective NMR in chiral p-wave superconductors. We calculate local nuclear relaxation rate T −1 1 in the vortex lattice state by Eilenberger theory, including the applied magnetic field dependence. We find that T −1 1 in the NMR resonance line shape is different between two chiral states p ± (=p x ±ip y ), depending on whether the chirality is parallel or antiparallel to the vorticity. Anomalous suppression of T −1 1 occurs around the vortex core in the chiral p − wave due to the negative coherence term coming from the odd-frequency s-wave Cooper pair induced around the vortex with Majorana state.

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Section: Local Nmr Relaxation Ratementioning

confidence: 99%

Site-selective NMR for odd-frequency Cooper pairs around vortex in chiralp-wave superconductors

2016

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“…However, the opening of the second gap as possible origin of the deviation from the typical BCS behaviour is excluded as it does not gives the almost horizontal low temperature slope of the (1/(T 1 T )) vs T curve. Deviation from the BCS behaviour at low temperatures has been already reported in both conventional isotropic 47,59 and anisotropic type II superconductors. 60,61 This phenomenon has been attributed to contribution in the relaxation mechanism from the vortex dynamics 60,61 , which becomes predominant at low temperatures, where the BCS contribution to the relaxation rates is very small.…”

Section: Figmentioning

confidence: 98%

“…This can be excellently monitored by using magnetic resonance techniques, like muon spectroscopy (for a review see ref. 46 ) and NMR 44,47,48 , as the resonance frequency is directly proportional to the local magnetic field. In case of an ideal hexagonal vortex lattice, a characteristic frequency distribution is formed with a peak corresponding to the saddle point of the magnetic field distribution, which is located midway between two vortices, and two steps at the maximum (H max ) and minimum (H min ) fields 47,49 , corresponding to the vortex core and the center of a vortex triangle, respectively.…”

Section: B Nmr Line Shapes and The Mixed Statementioning

confidence: 99%

“…46 ) and NMR 44,47,48 , as the resonance frequency is directly proportional to the local magnetic field. In case of an ideal hexagonal vortex lattice, a characteristic frequency distribution is formed with a peak corresponding to the saddle point of the magnetic field distribution, which is located midway between two vortices, and two steps at the maximum (H max ) and minimum (H min ) fields 47,49 , corresponding to the vortex core and the center of a vortex triangle, respectively. This distribution depends on the two fundamental length scales of superconductivity: the magnetic penetration length λ (the variance of the frequency distribution is inversely proportional to λ), and the coherence length ξ, which defines the "extension" of a vortex.…”

Section: B Nmr Line Shapes and The Mixed Statementioning

confidence: 99%

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11B NMR study of pure and lightly carbon-doped MgB2 superconductors

et al. 2005

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We report a 11 B NMR line shape and spin-lattice relaxation rate (1/(T1T )) study of pure and lightly carbon doped MgB2−xCx for x = 0, 0.02, and 0.04, in the vortex state and in magnetic field of 23.5 kOe. We show that while pure MgB2 exhibits the magnetic field distribution from superposition of the normal and the Abrikosov state, slight replacement of boron with carbon unveils the magnetic field distribution of the pure Abrikosov state. This indicates a considerable increase of H c c2 with carbon doping with respect to pure MgB2. The spin-lattice relaxation rate 1/(T1T ) demonstrates clearly the presence of a coherence peak right below Tc in pure MgB2, followed by a typical BCS decrease on cooling. However, at temperatures lower than ≈ 10K strong deviation from the BCS behavior is observed, probably from residual contribution of the vortex dynamics. In the carbon doped systems both the coherence peak and the BCS temperature dependence of 1/(T1T ) weaken, an effect attributed to the gradual shrinking of the σ hole cylinders of the Fermi surface with electron doping.PACS numbers: 74.25.-q., 76.60.Es

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“…On the other hand, in the case of negligible hyperfine coupling, the NMR signal is determined by B(r). This resonance line shape in the vortex lattice state is called "Redfield pattern" [11][12][13]. The resonance line shape is given by the distribution function P (B) = δ(B − B(r))dr calculated from the internal field B(r).…”

Section: Introductionmentioning

confidence: 99%

Knight shift spectrum in vortex states ins- andd-wave superconductors on the basis of Eilenberger theory

et al. 2014

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From the spatial structure of vortex lattice state calculated by Eilenberger theory, we study the resonance line shape of Knight shift of the paramagnetic moments in sand d-wave superconductors, comparing with the Redfield pattern of the internal field distribution. We discuss the deviation from the temperature dependence of the Yosida function and the magnetic field dependence of the paramagnetic susceptibility. In addition to the calculation in the clean limit, influences of the impurity scattering are estimated in the Born limit and in the unitary limit. These results are helpful for the analysis of NMR experiments to know properties of the superconductors.

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Superconducting Mixed-State-Structure Determination in Vanadium by Nuclear Magnetic Resonance and Relaxation

Cited by 57 publications

References 13 publications

Site-selective NMR for odd-frequency Cooper pairs around vortex in chiralp-wave superconductors

Site-selective NMR for odd-frequency Cooper pairs around vortex in chiralp-wave superconductors

11B NMR study of pure and lightly carbon-doped MgB2 superconductors

Knight shift spectrum in vortex states ins- andd-wave superconductors on the basis of Eilenberger theory

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