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

A. V. Balatsky·P. Bourges
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Abstract

It is shown that the momentum space width of the peak in the spin susceptibility, Im$χ(q,ω)$, is linearly proportional to the superconducting $T_c$: $T_c = \hbar v^*Δq$ with $\hbar v^* \simeq 35 meV$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 $\hbar v^*$ 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.

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A. V. Balatsky, P. Bourges. 1999-01-26. Linear dependence of peak width in $χ(\bq, ω)$ vs T_c for YBCO superconductors. https://doi.org/10.1103/physrevlett.82.5337

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