Itinerant effects and enhanced magnetic interactions in Bi-based multilayer cuprates

Abstract

The cuprate high temperature superconductors exhibit a pronounced trend in which the superconducting transition temperature, $T_{\mathrm{c}}$, increases with the number of CuO${}_2$ planes, $n$, in the crystal structure. We compare the magnetic excitation spectrum of Bi${}_{2+x}$Sr${}_{2-x}$CuO${}_{6+\delta }$ (Bi-2201) and Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$ (Bi-2223), with $n=1$ and $n=3$ respectively, using Cu $L_3$-edge resonant inelastic x-ray scattering (RIXS). Near the anti-nodal zone boundary we find the paramagnon energy in Bi-2223 is substantially higher than that in Bi-2201, indicating that multilayer cuprates host stronger effective magnetic exchange interactions, providing a possible explanation for the $T_{\mathrm{c}}$ vs.\ $n$ scaling. In contrast, the nodal direction exhibits very strongly damped, almost non-dispersive excitations. We argue that this implies that the magnetism in the doped cuprates is partially itinerant in nature.

arXiv comment6 pages, 5 figures

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• Anisotropic electron damping and energy gap in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Electron-hole asymmetry of quantum collective excitations in high-$T_c$ copper oxides