Quest for nuclear quadrupole relaxation in HgCa$_{2}$Ba$_{2}$Cu$_{3}$O$_{8+δ}$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912133531303936 |
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| author | Itoh, Yutaka Ogawa, Akihiro Adachi, Seiji |
| author_facet | Itoh, Yutaka Ogawa, Akihiro Adachi, Seiji |
| contents | We derived a simple reduced form from the exact solution of the mixed magnetic and quadrupolar nuclear spin--lattice relaxation function at the central transition line of a quadrupole-split NMR spectrum for the nuclear spin $I$ = 3/2. The reduced form of the exact solution could be extended to include inhomogeneous relaxation effects. From the application of the reduced form to the $^{63}$Cu nuclear spin--lattice relaxation curves in the high-$T_\mathrm{c}$ superconductors of $^{63}$Cu-enriched triple-layer HgBa$_2$Ca$_2$Cu$_3$O$_{8+δ}$, we estimated the predominant magnetic relaxation rate $^{63}W_M$ and the upper limit of a weak nuclear electric quadrupole spin--lattice relaxation rate $^{63}W_Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quest for nuclear quadrupole relaxation in HgCa$_{2}$Ba$_{2}$Cu$_{3}$O$_{8+δ}$ Itoh, Yutaka Ogawa, Akihiro Adachi, Seiji Superconductivity Strongly Correlated Electrons We derived a simple reduced form from the exact solution of the mixed magnetic and quadrupolar nuclear spin--lattice relaxation function at the central transition line of a quadrupole-split NMR spectrum for the nuclear spin $I$ = 3/2. The reduced form of the exact solution could be extended to include inhomogeneous relaxation effects. From the application of the reduced form to the $^{63}$Cu nuclear spin--lattice relaxation curves in the high-$T_\mathrm{c}$ superconductors of $^{63}$Cu-enriched triple-layer HgBa$_2$Ca$_2$Cu$_3$O$_{8+δ}$, we estimated the predominant magnetic relaxation rate $^{63}W_M$ and the upper limit of a weak nuclear electric quadrupole spin--lattice relaxation rate $^{63}W_Q$. |
| title | Quest for nuclear quadrupole relaxation in HgCa$_{2}$Ba$_{2}$Cu$_{3}$O$_{8+δ}$ |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.08408 |