Non-Fermi-liquid states and pairing instability of a general model of copper oxide metals

摘要: A model of copper-oxygen bonding and antibonding bands with the most general two-body interactions allowable by symmetry is considered. The has a continuous transition as function hole density x temperature T to phase in which current circulates each unit cell. This preserves translational lattice while breaking time-reversal invariance fourfold rotational symmetry. product time reversal rotation preserved. circulating terminates at critical point x=${\mathrm{x}}_{\mathrm{c}}$, T=0. In quantum region about this logarithm frequency fluctuations scales their momentum. microscopic basis for marginal Fermi-liquid phenemenology observed long-wavelength transport anomalies near x=${\mathrm{x}}_{\mathrm{c}}$ are derived from such fluctuations. that associated magnetic field absent oxygen sites have correct form explain anomalous copper nuclear relaxation rate. Crossovers on either side ${\mathrm{x}}_{\mathrm{c}}$ role disorder briefly promote superconductive instability propensity towards ``D-wave'' or ``extended S-wave''symmetry depending details band structure. Several experiments proposed test theory.