Non Fermi-Liquid Magnetoresistance Oscillations in Quasi-One-Dimensional Conductors

We theoretically demonstrate that strong non Fermi-liquid magnetic oscillations of electron-electron scattering time can exist in quasi-one-dimensional (Q1D) conductors under condition of the magnetic breakdown between two open electron orbits. They are shown to be due to electron-electron interactions in a metallic phase under condition of the magnetic breakdown and they are beyond the Fermi-liquid theory. In particular, we consider as example the organic conductor (TMTSF)$_2$ClO$_4$ and perform both analytical and numerical calculations for its known electron spectrum. We also argue that similar oscillations of resistivity can exist in a metallic phase of another Q1D organic conductor - (Per)$_2$Au(mnt)$_2$.