1. Evidence for strong-coupling s-wave superconductivity in MgB2: 11B-NMR study of MgB2 and the related materials
- Author
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Norimasa Nakagawa, H. Kotegawa, Jun Akimitsu, Yasuo Kitaoka, Hiroyuki Takagiwa, Takahiro Muranaka, and K. Ishida
- Subjects
Physics ,Superconductivity ,Coupling constant ,Condensed matter physics ,Phonon ,Fermi level ,Spin–lattice relaxation ,Energy Engineering and Power Technology ,BCS theory ,Condensed Matter Physics ,Electronic, Optical and Magnetic Materials ,symbols.namesake ,Condensed Matter::Superconductivity ,Density of states ,symbols ,Electrical and Electronic Engineering ,Critical field - Abstract
We report the results of nuclear spin–lattice relaxation time, T 1 of 11 B in MgB 2 , Al-doped MgB 2 and NbB 2 . A T 1 T =constant behavior was observed in the normal state, indicating the absence of strong magnetic correlation. In the superconducting (SC) state, 1/ T 1 shows a tiny coherence peak just below T c and decreases exponentially, demonstrating an s-wave superconductivity. The magnitude of SC gap is estimated as 2 Δ / k B T c ∼5, which is quite larger than the weak-coupling value in the BCS theory, 2 Δ / k B T c =3.5. This rules out a possibility for the multiple SC gaps that was suggested in many literatures. The anisotropy in the upper critical field was also corroborated by the T 1 measurement on a bulk polycrystalline sample. In NbB 2 with a low value of T c =5 K, the T 1 measurement revealed the distinct coherence peak just below T c , followed by an exponential decrease with a magnitude of SC gap 2 Δ / k B T c =3.1. These data are consistent with the weak-coupling BCS theory. As Al 3+ is substituted for Mg 2+ , 1/ T 1 T , which is proportional to the square of the density of states at the Fermi level N ( E F ), decreases. The variation in T c against the relative changes in N ( E F ) deduced from 1/ T 1 T is well fitted in terms of the McMillan equation by assuming a characteristic phonon frequency ω ∼ 700 K and an electron–phonon coupling constant λ ∼ 0.87. Thus obtained values are in good agreement with the values suggested by the theoretical works. The high- T c superconductivity in MgB 2 is shown to occur through the strong coupling with high frequency phonons.
- Published
- 2002
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