Weak Field Gauge-Invariant Planar Magnetoresistance of Doped Cuprate Superconductors

We have calculated the planar magnetoresistance of the doped cuprate superconductor in the ‘normal’ state; the results are in agreement with the divergence of the magnetoresistance near Tc, and other unexplained data. Argument and evidence have been known for assuming that the ‘normal’ state in the doped cuprate is mainly a two-channel Kondo lattice. In the common moderately disordered nonstoichiometrically doped cuprate, in contrast with the fully ordered crystal, the two-channel Kondo fixed point is effectively stable.