Low-Frequency Magnetic Oscillations Induced by Strong Electron Correlations

To explain the low frequencies of quantum oscillations observed in lightly doped cuprates, we consider two-dimension Hubbard model supplemented with perpendicular magnetic field. For large repulsions, electron spectrum is investigated using cluster perturbation theory. Obtained at small deviations from half-filling are close to those experimentally, $F\approx500$~T. They stem Fermi surface pockets located nodal regions Brillouin zone. The formed by arcs and less intensive segments, which make nearly circular.