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Quantum oscillations of magnetization and resistivity with the magnetic field are of a great experimental and theoretical value providing reliable and detailed Fermi-surfaces. Specifically interest in the oscillations in almost two-dimensional (2D) Fermi-liquids has recently gone through a vigorous revival due to experimental discoveries of magneto-oscillations in a few high-temperature cuprate superconductors. While a better understanding of the magnetooscillations in doped antiferromagnetic insulators is generally important, it becomes particularly vital for building an adequate theory of high-temperature superconductivity since parent cuprates are antiferromagnets.
Recently we have quantized the energy spectrum of electrons (holes) doped into a two-dimensional antiferromagnetic insulator in an external magnetic field of arbitrary direction. A peculiar dependence of de Haas-van Alphen (dHvA) or Shubnikov-de Haas (SdH) magneto-oscillation amplitudes on the azimuthal in-plane angle from the magnetization direction and on the polar angle from the out-of-plane direction has been found, which can be used as a sensitive probe of the antiferromagnetic order in doped Mott-Hubbard, spin-density wave, and conventional band-structure insulators. |
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