The dynamically induced Fermi arcs and Fermi pockets in two dimensions: a model for underdoped cuprates

TL;DR

This paper models how dynamic bosonic fluctuations can reconstruct the Fermi surface in underdoped cuprates, leading to Fermi arcs and pockets without requiring static order, aligning with experimental findings.

Contribution

It demonstrates that dynamic fluctuations alone can produce Fermi pockets and arcs, challenging the need for static order in explaining Fermi surface reconstruction.

Findings

Dynamic fluctuations induce Fermi pockets away from zone corners.

Fermi arcs and pockets can coexist due to dynamic effects.

The model aligns with experimental observations in underdoped cuprates.

Abstract

We investigate the effects of the dynamic bosonic fluctuations on the Fermi surface reconstruction in two dimensions as a model for the underdoped cuprates. At energies larger than the boson energy $\omega_b$, the dynamic nature of the fluctuations is not important and the quasi-particle dispersion exhibits the shadow feature like that induced by a static long range order. At lower energies, however, the shadow feature is pushed away by the finite $\omega_b$. The detailed low energy features are determined by the bare dispersion and the coupling of quasi-particles to the dynamic fluctuations. We present how these factors reconstruct the Fermi surface to produce the Fermi arcs or the Fermi pockets, or their coexistence. Our principal result is that the dynamic nature of the fluctuations, without invoking a yet-to-be-established translational symmetry breaking hidden order, can produce the Fermi pocket centered away from the $(\pi/2,\pi/2)$ towards the zone center which may coexist with the Fermi arcs. This is discussed in comparison with the experimental observations.