Linear dependence of peak width in $χ(\bq, ω)$ vs T_c for YBCO superconductors

Abstract

It is shown that the momentum space width of the peak in the spin susceptibility, Im$\chi (q,\omega )$, is linearly proportional to the superconducting $T_c$: $T_c=\hslash v^{\ast }\Delta q$ with $\hslash v^{\ast }\simeq 35meV$Å. This relation is similar to the linear relation between incommensurate peak splitting and $T_c$ in LaSrCuO superconductors, as first proposed by Yamada et al. (Phys. Rev. B 57, 6165, (1998)). The velocity $\hslash v^{\ast }$ is smaller than Fermi velocity or the spin-wave velocity of the parent compound and remains the same for a wide doping range. This result points towards strong similarities in magnetic state of YBCO and LaSrCuO.

5 pages, 3 figures, latex file

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