Quantum Oscillation as Diagnostics of Pseudogap State in Underdoped Cuprates

TL;DR

This paper investigates quantum oscillations in underdoped cuprates to distinguish between two Fermi surface models, revealing how peaks and effective masses vary with charge density wave order and doping, aiding understanding of the pseudogap phase.

Contribution

It provides theoretical predictions of quantum oscillation spectra for two Fermi surface scenarios, offering a way to experimentally differentiate their underlying structures.

Findings

Central peak induced by CDW order shows enhanced effective mass as CDW vanishes.

Satellite peaks differ in origin and behavior between the two models.

Effective masses of subdominant peaks vary with CDW strength and doping.

Abstract

The Fermi surface in underdoped cuprates is reconstructed by the charge density wave (CDW) order in the pseudogap phase. Theoretical proposals can be divided into two classes: one assumes the underlying Fermi surface without CDW as a conventional large surface; the other assumes small hole-like Fermi pockets. In both scenarios, we theoretically study the quantum oscillation and find three evenly spaced peaks in the oscillation spectra. The central dominant peak is induced by the CDW order. Its effective mass is strongly enhanced as the CDW vanishes in agreement with experiments. But the two scenarios have different understandings of the subdominant satellite peaks. In the large-surface scenario they are induced by the interlayer tunneling between the bilayer CuO$_{2}$ planes. Their effective masses are also enhanced with descreasing CDW. In the small-pocket scenario one of the subdominant peaks comes from the original small Fermi pockets of the pseudogap state. Its effective mass is nearly independent of the CDW strength and increases monotonically with the doping. We propose future quantum oscillation experiments to test these different predictions and thus to clarify the underlying Fermi surface structure of the pseudogap state.