We report, for magnetic fields of 0, 8.8, and 14.8 T, measurements of the temperature dependent 63 Cu NMR spin lattice relaxation rate for near optimally doped YBa 2 Cu 3 O 72d , near and above T c . In sharp contrast with previous work we find no magnetic field dependence. We discuss experimental issues arising in measurements of this required precision and implications of the experiment regarding issues including the spin gap or pseudogap. [S0031-9007(98)08138-1] PACS numbers: 74.25.Nf, 74.72.Bk, 76.60.EsA dominant feature of optimally and underdoped cuprates is the appearance of a pseudogap in the normal state excitation spectrum. The microscopic mechanism which is responsible remains a mystery. A number of scenarios for explaining the pseudogap have been proposed (see Ref.[1] for a recent review). However, no calculations of the consequences of a large applied field for the pseudogap have been published. The high magnetic field behavior of the pseudogap provides additional experimental characterization of the pseudogap which is crucial for differentiating between various pictures.We report very high accuracy measurements of the magnetic field dependence of the 63 Cu spin lattice relaxation rate in near optimally doped YBa 2 Cu 3 O 72d . Our measurements demonstrate, in sharp contrast with previous work [2-6], that there is no magnetic field dependence to 63 ͑T 1 T͒ 21 in YBa 2 Cu 3 O 72d . This result has three important ramifications. Although the magnetic fields we apply shift T c down by as much as 8 K, the onset of pseudogap effects does not shift down in temperature. Hence the pseudogap is unrelated to superconducting fluctuations, even in near optimally doped YBa 2 Cu 3 O 72d where the gap behavior appears just above T c . The onset of the pseudogap is very rapid, clearly demonstrating that its magnitude is temperature dependent, opening very rapidly near 110 K. Finally, the absence of any field effect indicates a relatively large energy scale for the gap mechanism. If dynamical pairing correlations or preformed pairs are involved, the length scales must be very short.The 63 Cu NMR spin lattice relaxation rate reveals the spin part of pseudogap behavior, the "spin gap." In underdoped YBa 2 Cu 3 O 6.6 , 63 ͑T 1 T͒ 21 famously exhibits a broad maximum in the vicinity of room temperature and then decreases as T approaches T c from above. In optimally doped YBa 2 Cu 3 O 72d (data shown in Fig.
The authors have measured the change in the anisotropy of the NMR spin-lattice relaxation rates for 63 Cu(2), 17
Line-shape analysis of 17 O NMR spectra is used to probe vortex melting and dynamics in aligned powders of YBa 2 O 3 O 7 . Vortex transitions are identified by comparing their dynamics with the NMR time scale. Lineshape changes indicate a well-defined melting transition at a temperature, T m . Below T m there is a coexistence regime of solid and liquid vortices with a lower bound, T g , which marks complete vortex freezing.
We report 89 Y and 17 O NMR (9 T) echo decays for YBa 2 Cu 3 O 7 and correct for contributions from dipolar coupling 63,65 Cu in order to isolate effects of vortex dynamics. We confirm vortex localization in the solid state with rms displacements consistent with Langevin dynamical theory, but with motional dynamics at time scales ͑10 100 ms͒ some ϳ10 6 times slower than predicted. Vortex migration over longer time scales is restricted to distances less than 1/100 of an intervortex spacing over times as long as 100 ms, in contrast with the rapid long range diffusion occurring in the liquid state.
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