Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors

Physics – Condensed Matter

Scientific paper

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14 pages, REVTeX v2.1, PostScript file for 3 figures attached, UIUC-P-93-06-048

Scientific paper

10.1103/PhysRevLett.71.2813

We propose a unified magnetic phase diagram of cuprate superconductors. A new feature of this phase diagram is a broad intermediate doping region of quantum-critical, $z=1$, behavior, characterized by temperature independent $T_1T/T_{\rm 2G}$ and linear $T_1T$, where the spin waves are not completely absorbed by the electron-hole continuum. The spin gap in the moderately doped materials is related to the suppression of the low-energy spectral weight in the quantum disordered, $z=1$, regime. The crossover to the $z=2$ regime, where $T_1T/T_{\rm 2G}^2 \simeq \mbox{const}$, occurs only in the fully doped materials.

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