Cyclotron resonance in a cuprate superconductor

Anderson suggested that the temperature dependence of the normal-state Hall coefficient in the high-${\mathit{T}}_{\mathit{c}}$ superconductors comes from two distinct relaxation rates: a longitudinal relaxation rate (${\mathrm{\tau }}_{\mathrm{tr}}^{\mathrm{-}1}$) due to holon-spinon scattering and a transverse relaxation rate (${\mathrm{\tau }}_{\mathit{H}}^{\mathrm{-}1}$) due to spinon-spinon scattering. A generalized Drude model that incorporates these magnetic-field-induced anisotropy in charge-relaxation rates yields another possible signature of Anderson’s conjecture: cyclotron resonance at ω=${\mathrm{\omega }}_{\mathit{c}}$ ${\mathrm{\tau }}_{\mathit{H}}$/${\mathrm{\tau }}_{\mathrm{tr}}$, where ${\mathrm{\omega }}_{\mathit{c}}$ is the cyclotron frequency. We discuss the feasibility of observing this signature.