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We studied the quantum oscillations in superconducting vortex mixed stateswith d-wave pairing. We showed that the Onsager relation does not always apply.Furthermore, at mean field level the quantum oscillations from electron pocketsare suppressed by the pairing. We conclude that an interpretation of theexperimental results asccoming from the four hole pockets created by a$(\pi,\pi)$ folding cannot be ruled out.

Numerical Studies of Quantum Oscillations in the Superconducting vortex mixed state