Field-asymmetric transverse magnetoresistance in a nonmagnetic   quantum-size structure
  A new phenomenon is observed experimentally in a heavily doped asymmetric quantum-size structure in a magnetic field parallel to the quantum-well layers - a transverse magnetoresistance which is asymmetric in the field (there can even be a change in sign) and is observed in the case that the structure has a built-in lateral electric field. A model of the effect is proposed. The observed asymmetry of the magnetoresistance is attributed to an additional current contribution that arises under nonequilibrium conditions and that is linear in the gradient of the electrochemical potential and proportional to the parameter characterizing the asymmetry of the spectrum with respect to the quasimomentum. 
A. A. Gorbatsevich, V. V. Kapaev, Yu. V. Kopaev, I. V. Kucherenko,   O.E. Omel'yanovskii and V.I. Tsebro