De Haas-van Alphen Oscillations In Quasi-two-dimensional Underdoped Cuprate Superconductors In The Canonical Ensemble

We calculate the de Haas-van Alphen (dHvA) effect waveform using the canonical ensemble for different Fermi surface scenarios applicable to the underdoped cuprate superconductor YBa{sub 2}Cu{sub 3}O{sub 6.5}, in which quantum oscillations have recently been observed. The harmonic content of the dHvA waveform of the principal F{sub {alpha}} {approx} 500 T frequency is consistent with the existence of a second thermodynamically dominant section of Fermi surface that acts primarily as a charge reservoir. Oscillations in the charge density to and from this reservoir are shown to potentially contribute to the observed large quantum oscillations in the Hall resistance.