Quest for nuclear quadrupole relaxation in HgCa${}_2$Ba${}_2$Cu${}_3$O${}_{8+\delta }$

Abstract

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${}_{8+\delta }$, we estimated the predominant magnetic relaxation rate ${}^{63}{W}_M$ and the upper limit of a weak nuclear electric quadrupole spin--lattice relaxation rate ${}^{63}{W}_Q$.

6 pages, 5 figures, revised introduction and section 4, added references, results unchanged

References in corpus (6)

• ${}^{139}$La NMR investigation of the interplay between the lattice, charge, and spin dynamics in charge ordered high $T_c$ cuprate La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Strain-induced long-range charge-density wave order in the optimally doped Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_6$ superconductor
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Charge Order and Fluctuations in Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$ Revealed by ${}^{63,65}$Cu-Nuclear Magnetic Resonance