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Perturbation study on the spin and charge susceptibilities of the two-dimensional Hubbard model

Takashi Hotta·Satoshi Fujimoto
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Abstract

We investigate the spin and charge susceptibilities of the two-dimensional Hubbard model based upon the perturbative calculation in the strength of correlation $U$. For $U$ comparable to a bare bandwidth, the charge susceptibility decreases near the half-filling as hole-doping approaches zero. This behavior suggesting the precursor of the Mott-Hubbard gap formation cannot be obtained without the vertex corrections beyond the random phase approximation. In the low-temperature region, the spin susceptibility deviates from the Curie-Weiss-like law and finally turns to decrease with the decrease of temperature. This spin-gap-like behavior is originating from the van Hove singularity in the density of states.

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Takashi Hotta, Satoshi Fujimoto. 1996-05-29. Perturbation study on the spin and charge susceptibilities of the two-dimensional Hubbard model. https://doi.org/10.1103/physrevb.54.5381

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