Anomalous asymmetry of magnetoresistance in NbSe$_3$ single crystals
  A pronounced asymmetry of magnetoresistance with respect to the magnetic field direction is observed for NbSe$_3$ crystals placed in a magnetic field perpendicular to their conducting planes. It is shown that the effect persists in a wide temperature range and manifests itself starting from a certain magnetic induction value $B_0$, which at $T=4.2$ K corresponds to the transition to the quantum limit, i.to the state where the Landay level splitting exceeds the temperature. 
A. A. Sinchenko, Yu. I. Latyshev, A. P. Orlov, P. Monceau