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We calculate the de Haas-van Alphen (dHvA) effect waveform using thecanonical ensemble for different Fermi surface scenarios applicable to theunderdoped cuprate superconductor YBa2Cu3O6.5, in which quantum oscillationshave recently been observed. The harmonic content of the dHvA waveform of theprincipal F ~ 500 T frequency is consistent with the existence of a secondthermodynamically dominant section of Fermi surface that acts primarily as acharge reservoir. Oscillations in the charge density to and from this reservoirare shown to potentially contribute to the observed large quantum oscillationsin the Hall resistance.

de Haas-van Alphen oscillations in quasi-two-dimensional underdoped cuprate superconductors in the canonical ensemble