Quantum Disordered Regime and Spin Gap in the Cuprate Superconductors

Physics – Condensed Matter

Scientific paper

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14 pages, REVTeX v3.0, PostScript file for 3 figures is attached, UIUC-P-93-07-065

Scientific paper

10.1103/PhysRevB.49.1544

We discuss the crossover from the quantum critical, $z\!=\!1$, to the quantum disordered regime in high-T$_c$ materials in relation to the experimental data on the nuclear relaxation, bulk susceptibility, and inelastic neutron scattering. In our scenario, the spin excitations develop a gap $\Delta\!\sim\!1/\xi$ well above T$_c$, which is supplemented by the quasiparticle gap below T$_c$. The above experiments yield consistent estimates for the value of the spin gap, which increases as the correlation length decreases.

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