Abstract
The magnetic-field–induced antiferromagnetic phase of the underdoped cuprates is studied within the t-t'-J model. A magnetic field suppresses the pairing amplitude, which, in turn, may induce antiferromagnetism. We apply our theory to interpret the recently reported quantum oscillations in high magnetic field in ortho-II YBa2Cu3O6.5 [1] and propose that the total hole density abstracted from the oscillation period is reduced by 50% due to doubling of the unit cell.