Theory of Lee-Naughton-Lebed's Oscillations in Moderately Strong Electric Fields in Layered Quasi-One-Dimensional Conductors

In framework of some extension of the quasi-classical Boltzmann kinetic equation, we show that a moderately strong electric field splits the so-called Lee-Naughton-Lebed’s magnetoconductivity maxima in a layered quasi-one-dimensional conductor, if we use some reasonable approximation to the equation. By means of the above mentioned approximation, we obtain analytical formula for conductivity in high magnetic and moderately high electric fields and show that it coincides with the hypothetical formula as well as adequately describes the pioneering experimental data by Kobayashi et al. [K. Kobayashi, M. Saito, E. Omichi, and T. Osada, Phys. Rev. Lett. $\mathbf{\text{96}}$, 126601 (2006)].