Electric conductivity in open quantum two-dimensional nonmagnetic systems: The role of the nondiagonal dissipative kernels and the non-Markovian effect

In two-dimensional nonmagnetic systems, the influence of strong correlations between random forces in the equations of motion for the components of the charge carrier momentum on electric conductivity is studied within the framework of the non-Markovian quantum Langevin approach. Analytical expressions for the electric conductivity tensor are obtained. The transverse component of the electric field at zero external magnetic field is predicted. The role of nondiagonal dissipative kernels and the non-Markovian effect in electric conductivity, orbital diamagnetism, quantum Hall effect and Shubnikov-de Haas oscillations is emphasized. The conditions for the dynamic growth of electric conductivity and the magnetic moment are analyzed.