Temperature Dependence of the Momentum-Resolved Static Spin Susceptibility in a Mott-Proximate Cuprate Model

This paper presents the temperature dependence of the static spin susceptibility at $\mathbf{q}=(\pi ,\pi )$ and $\mathbf{q}=(\pi ,0)$ in a Mott-proximate cuprate model with an s-wave like pseudogap – a model system for high-temperature superconducting (HTSC) cuprates. The results show the susceptibility onset temperature tracks the critical temperature ($T_c$) of HTSCs with a comparable scale across the electron filling factor. Also, as the electron filling decreases and the chemical potential approaches the antinodal van Hove region, the susceptibility at $\mathbf{q}=(\pi ,0)$ – the axial particle-hole response – grows markedly. It suggests that the emergence of cuprate superconductivity correlates with a suppression of low-energy antinodal spin response and associated particle-hole excitations, which would otherwise dephase $d$-wave pairing, commonly attributed to spin fluctuations. In this context, the pseudogap partially suppresses antinodal spectral weight near $\omega =0$, thereby reducing the low-$\omega$ particle-hole phase space.