Cluster perturbation theory on the Hubbard model yields doping- and temperature-dependent electronic and spin spectra that qualitatively match cuprate experiments, with short-range antiferromagnetism implicated in pseudogap formation.
and Ding, Shuhan and Liu, Jiarui and Wang, Yao
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Doping- and temperature-dependent electronic structure and spin dynamics in the Hubbard model on a square lattice within cluster perturbation theory
Cluster perturbation theory on the Hubbard model yields doping- and temperature-dependent electronic and spin spectra that qualitatively match cuprate experiments, with short-range antiferromagnetism implicated in pseudogap formation.