Reply to "A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates"

TL;DR

This paper defends the spin-fluctuation model for charge order in cuprates, demonstrating that charge order instability persists even under anti-nesting conditions, countering previous criticisms.

Contribution

It provides a detailed rebuttal showing that spin-fluctuation exchange can induce charge order despite anti-nesting, strengthening the theoretical basis for the model.

Findings

Charge order instability exists even with anti-nesting.

Spin-fluctuation exchange can induce charge order without perfect nesting.

Counteracts previous criticism about the necessity of nesting.

Abstract

We reply to the criticism from the authors of arXiv:1502.02782 of the spin-fluctuation scenario for charge order in the cuprates. The authors of of arXiv:1502.02782 argued that spin-fluctuation exchange cannot give rise to charge order with observed momentum $(Q, 0)/(0, Q)$ due to the absence of nesting for a half of fermions involved. We explicitly show the instability towards charge order exists even in the "worst-case" scenario of anti-nesting for a half of fermions.