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

Abstract

This paper presents the temperature dependence of the static spin susceptibility at $q = (pi, pi)$ and $q = (pi, 0)$ in a Mott-proximate cuprate model with an antinodal pseudogap -- a model system for high-temperature superconducting (HTSC) cuprates. The results show the spin 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 spin susceptibility at $q=(pi, pi)$ and $(pi, 0)$, corresponding to diagonal and axial particle-hole scattering channels, respectively, 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.