Charge order driven by Fermi-arc instability and its connection with pseudogap in cuprate superconductors

TL;DR

This paper proposes a theoretical framework explaining charge order in cuprate superconductors as driven by Fermi-arc instability, linking it to the pseudogap phase and electron self-energy effects, with implications for doping dependence.

Contribution

It introduces a fermion-spin theory-based explanation for charge order driven by Fermi-arc instability, connecting it with the pseudogap and electron self-energy effects in cuprates.

Findings

Charge order is driven by Fermi-arc instability rather than antinodal nesting.

Charge-order wave vector decreases linearly with doping.

Fermi arc, charge order, and pseudogap are interconnected via electron self-energy.

Abstract

The recently discovered charge order is a generic feature of cuprate superconductors, however, its microscopic origin remains debated. Within the framework of the fermion-spin theory, the nature of charge order in the pseudogap phase and its evolution with doping are studied by taking into account the electron self-energy (then the pseudogap) effect. It is shown that the antinodal region of the electron Fermi surface is suppressed by the electron self-energy, and then the low-energy electron excitations occupy the disconnected Fermi arcs located around the nodal region. In particular, the charge-order state is driven by the Fermi-arc instability, with a characteristic wave vector corresponding to the hot spots of the Fermi arcs rather than the antinodal nesting vector. Moreover, although the Fermi arc increases its length as a function of doping, the charge-order wave vector reduces almost linearity with the increase of doping. The theory also indicates that the Fermi arc, charge order, and pseudogap in cuprate superconductors are intimately related each other, and all of them emanates from the electron self-energy due to the interaction between electrons by the exchange of spin excitations.