Lifshitz Transition in Underdoped Cuprates

TL;DR

The paper proposes that a Lifshitz transition explains the disappearance of quantum oscillations and the divergence of cyclotron mass in underdoped cuprates, aligning well with experimental data.

Contribution

It introduces a Lifshitz transition model to explain quantum oscillation phenomena and mass divergence in underdoped cuprates, providing theoretical predictions consistent with experiments.

Findings

Quantum oscillations vanish at a critical doping level.

Cyclotron mass diverges logarithmically near the transition.

The critical doping estimate matches experimental observations.

Abstract

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.