Electric-field-induced magnetoresistance of lateral superlattices

The transverse electric field E(y) which appears in lateral superlattices (SLs) in the presence of a high applied electric field E(x) and a low magnetic field H normal to the SL plane (H parallel to OZ) is calculated. When the electron energy spectrum is non-additive, the field E(y). contains both the Hall field and the spontaneous transverse electric field which exists without N. The field E(y) is a multiple-valued and sign-changing function of E(x). The kinetic potential whose minimum corresponds to the stationary state of the non-equilibrium electron gas is used. The magnetoresistance caused by the appearance of a spontaneous transverse EMF is investigated.