Polarized and unpolarized neutron-scattering study of the dynamical spin susceptibility of YBa2Cu3O7

Abstract

We report an extensive study of magnetic excitations in fully oxygenated Y${\mathrm{Ba}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_7$, using neutron scattering with and without spin polarization analysis. By calibrating the measured magnetic intensity against calculated structure factors of optical phonons and against antiferromagnetic spin waves measured in the same crystal after deoxygenation to Y${\mathrm{Ba}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_{6.2}$, we establish an absolute intensity scale for the dynamical spin susceptibility, ${\chi }^{\prime \prime }(\mathrm{q}, \omega )$. The integrated spectral weight of the sharp magnetic resonance at $\hslash \omega =40\mathrm{}$ meV and ${\mathrm{q}}_{\parallel }=(\frac{\pi }{a}, \frac{\pi }{a})$ in the superconducting state is $\int d\left(\hslash \omega \right){\chi }_{\mathrm{res}}^{\prime \prime }(\mathrm{q}, \omega )=(0.52\mathrm{}\pm 0.1)$ at low temperatures. The energy and spectral weight of the resonance are measured up to $T=0.8\mathrm{}{T}_c$. The resonance disappears in the normal state, and a conservative upper limit of 30 states/eV is established for the normal state dynamical susceptibility at ${\mathrm{q}}_{\parallel }=(\frac{\pi }{a}, \frac{\pi }{a})$ and $10 \mathrm{meV}<~\hslash \omega <~40 \mathrm{meV}$. Our results are compared to previous neutron-scattering data on Y${\mathrm{Ba}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_7$, theoretical interpretations of NMR data and current models of the 40 meV resonance.