2021/05/31 by Chandan Setty, Setty, Chandan
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2105.15205
openalex publication_date 2021/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Despite concerted efforts, the problem of dilute local moments embedded in a correlated conduction electron host such as Nd1-xCexCuO2 persists due to lack of analytically controllable models. Here, we address the question: how do local moments couple to correlated but integrable hosts? We describe the conduction electrons by the model of Hatsugai-Kohmoto (HK) which has undergone a recent resurgence arising from its exact solvability, existence of Luttinger surfaces, and connections to Sachdev-Ye-Kitaev (SYK) thermodynamics. We derive an exact low energy "Kondo-HK" Hamiltonian and show the existence of additional spin-exchange coupling that is relevant in the renormalization group (RG) sense. This term is ferromagnetic and does not vanish at low energies yielding an algebraic enhancement of the Kondo temperature. "Poor man's" scaling of couplings exhibits an exotic step-like RG flow between UV-IR fixed points attributed to severely restricted scattering phase space. This phenomenon is analogous to the flow of central charge in Zamolodchikov's diagonal resonance scattering in integrable quantum field theories.