Impact of pseudocriticality on DMFT solutions for non-Fermi liquids

Investigate how pseudocritical scaling induced by fixed-point annihilation in spin-boson and Bose–Fermi Kondo impurity models affects dynamical mean-field theory (and extended DMFT) solutions describing non-Fermi-liquid behavior, determining whether and how pseudocritical regimes modify phase boundaries, critical exponents, and observable properties in such self-consistent treatments.

Background

The work demonstrates pseudocritical scaling near fixed-point annihilation in anisotropic spin-boson models, characterized by extremely slow renormalization-group flow and quasiuniversal behavior. Related impurity models, such as the Bose–Fermi Kondo model, are central components in self-consistent dynamical mean-field theory frameworks that aim to describe non-Fermi liquids.

While the paper clarifies pseudocriticality in isolated impurity models, its broader impact on DMFT/EDMFT solutions remains unknown. Understanding this influence is important for interpreting non-Fermi-liquid phenomena obtained in self-consistent calculations and for assessing the robustness of predicted phases and critical properties in heavy-fermion and correlated electron systems.