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Spin susceptibility and magnetic short-range order in the Hubbard model

U. Trapper·D. Ihle·H. Fehske
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Abstract

The uniform static spin susceptibility in the paraphase of the one-band Hubbard model is calculated within a theory of magnetic short--range order (SRO) which extends the four-field slave-boson functional-integral approach by the trans- formation to an effective Ising model and the self-consistent incorporation of SRO at the saddle point. This theory describes a transition from the paraphase without SRO for hole dopings $δ> δ_{c_2}$ to a paraphase with anti- ferromagnetic SRO for $δ_{c_1} < δ< δ_{c_2}$. In this region the susceptibility consists of interrelated `itinerant' and `local' parts and increases upon doping. The zero--temperature susceptibility exhibits a cusp at $δ_{c_2}$ and reduces to the usual slave-boson result for larger dopings. Using the realistic value of the on--site Coulomb repulsion $U=8t$ for LSCO, the peak position ($δ_{c_2} = 0.26$) as well as the doping dependence reasonably agree with low--temperature susceptibility experiments showing a maximum at a hole doping of about 25\%.

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U. Trapper, D. Ihle, H. Fehske. 1996-06-24. Spin susceptibility and magnetic short-range order in the Hubbard model. https://doi.org/10.1103/physrevb.54.7614

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