de Haas van Alphen (dHvA) e⁄ect in two-dimensional (2D) conductors: susceptibility oscillations

A new scheme for analyzing the de Haas van Alphen (dHvA) e⁄ect in nearly two dimensional (2D) metals (i.e. with nearly cylindrical Fermi surface) is pre- sented. The envelope of the magnetic susceptibility oscilla- tions is calculated in the entire range of magnetic fields and temperatures. The resulting envelope function is found to be proportional to a universal function of the dimensionless parameter Q,+u c /k B ". The upper (i.e. paramagnetic) branch of the susceptibility envelope has a maximum at a certain Q"5.45. This universal value may be useful for determining the e⁄ective cyclotron mass and the Fermi energy of nearly 2D metals. A simple relation between magnetization oscillations amplitude and calculated susceptibility amplitudes is derived. The corresponding limiting formulae for the magnetization oscillations envelope are found to match smoothly around the value X"2n2/QK2 of the Lifshitz-Kosevich (LK) smearing parameter. The influence of Fermi surface sheets with open orbits on magneto-quantum oscillations is con- sidered. Triangle-like rather than saw-tooth-like oscilla- tions at ultralow temperatures are obtained and substan- tially diminished magnetization and susceptibility ampli- tudes are calculated. This suggests the possibility of esti- mating the band structure parameters of Fermi surface sheets from magneto-quantum oscillations measurements.