Comment on: ``Using Ni Substitution and $^{17}$O NMR to Probe the Susceptibility $χ'(q)$ in Cuprates''

Details Comment on: ``Using Ni Substitution and $^{17}$O NMR to Probe the Susceptibility $χ'(q)$ in Cuprates'' Comment on: ``Using Ni Substitution and $^{17}$O NMR to Probe the Susceptibility $χ'(q)$ in Cuprates''

1997-10-23

arxiv.org/abs/cond-mat/9710257v1

Phys. Rev. Lett. 80, 3662 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

1 page, RevTeX, 1 eps figure embedded in the text, submitted to PRL

Scientific paper

10.1103/PhysRevLett.80.3662

In a recent letter (PRL 79, 2117 (1997)), Bobroff et al. presented novel $^{17}$O NMR measurements for YBa_2(Cu_{1-x}Ni_x)_3O_{6+y} which offer a new probe of the momentum dependence of the static spin susceptibility $\chi'(q)$. They analyzed the $^{17}$O line width by assuming a Gaussian form for $\chi'$, and came to the conclusion that the correlation length $\xi$ is independent of temperature $T$. Furthermore, they claim that a Lorentzian form of $\chi'$ yields the same result. We will demonstrate that the Lorentzian and Gaussian form of $\chi'$ actually yield qualitatively different results for the $^{17}$O line width and its dependence on $\xi$. We show that their data when combined with $T_{2G}$ data from Takigawa require that $\xi$ be T-dependent. Furthermore, assuming a Gaussian form of $\chi'$ leads to the unphysical result that $\xi$ increases with $T$. In contrast, the Lorentzian form of $\chi'$ yields that $\xi$ decreases with increasing $T$ and is thus fully compatible with the experimental results.

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