Interconnected Renormalization of Hubbard Bands and Green's Function Zeros in Mott Insulators Induced by Strong Magnetic Fluctuations
arxiv(2024)
摘要
We analyze the role of spatial electronic correlations and, in particular, of
the magnetic fluctuations in Mott insulators. A half-filled Hubbard model is
solved at large strength of the repulsion U on a two-dimensional square
lattice using an advanced diagrammatic non-perturbative approach capable of
going beyond Hartree-Fock and single-site dynamical mean-field theories. We
show that at high temperatures the magnetic fluctuations are weak, and the
electronic self-energy of the system is mainly local and is well reproduced by
the atomic (Hubbard-I) approximation. Lowering the temperature toward the
low-temperature magnetically ordered phase, the non-locality of the self-energy
becomes crucial in determining the dispersion of the Hubbard bands and of the
Green's function zeros. We therefore establish a precise link between the
Luttinger surface and the momentum-structure of the Hubbard bands.
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