Recent studies show that quantum oscillations thought to be associated with a density wave reconstructed Fermi surface disappear at a critical value of the doping for YBa2Cu3O6+y, and the cyclotron mass diverges as the critical value is approached from the high doping side. We argue that the phenomenon is due to a Lifshitz transition where the pockets giving rise to the quantum oscillations connect to form an open (quasi-1d) Fermi surface. The estimated critical doping is close to that found by experiment, and the theory predicts a logarithmic divergence of the cyclotron mass with a coefficient comparable to that observed in experiment.
@article{arxiv.1004.0165,
title = {Lifshitz Transition in Underdoped Cuprates},
author = {M. R. Norman and Jie Lin and A. J. Millis},
journal= {arXiv preprint arXiv:1004.0165},
year = {2015}
}