Universality of Charge and Spin Response in Doped Antiferromagnets

Physics – Condensed Matter

Scientific paper

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7 pages with 5 Postscript figures, RevTeX and epsf required. Presented on the Pacific Conference on Condensed Matter Physics "

Scientific paper

Recent results for the finite-temperature static and dynamical properties of the planar $t-J$ model, obtained by a novel numerical method for small correlated systems, are reviewed. Of particular interest are $T>0$ charge and spin response functions: optical conductivity $\sigma(\omega)$ and spin susceptibility $\chi(\vec q,\omega)$, which show very universal features at intermediate doping. In spin dynamics the universality is best seen in the local spin correlation function, which appears to be $T$-independent and only weakly doping dependent. Results apply directly to the inelastic neutron scattering and to the NMR relaxation experiments in cuprates. Analysing $\sigma(\omega)$ we find that the current correlation function $C(\omega)$ is nearly $T$- and moreover $\omega$-independent in the regime $T

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