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Spin susceptibilities for the Hubbard model in a band approach

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Abstract

The properties of spin excitations superposed on a uniform ground state with antiferromagnetic (or spiral) spin structure are studied in a 2D Hubbard model. Expressions are derived for the spin susceptibility in the random phase approximation (RPA) using split Hubbard bands as a zeroth approximation. The calculated collective modes with dispersion ω(Q)=c|Q−(π, π)| near Q∼(π, π) reproduce well the characteristics of the spin excitations observed in undoped cuprates. For doped systems with an antiferromagnetic structure of the ground state, calculating X″(Q,ω→0) gives the same mode with a peak at Q∼(π, π), regardless of the type of Fermi surface. It is shown that in doped systems with a spiral ground state spin structure, X″(Q,ω→0) peaks occur with incommensurate quasimomenta Q that are coupled to the spirality vector.

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Authors and Affiliations

  1. Institute of Chemical Physics, Russian Academy of Sciences, 117977, Moscow, Russia

    A. A. Ovchinnikov & M. Ya. Ovchinnikova

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  1. A. A. Ovchinnikov
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  2. M. Ya. Ovchinnikova
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Zh. Éksp. Teor. Fiz. 116, 1058–1080 (September 1999)

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Ovchinnikov, A.A., Ovchinnikova, M.Y. Spin susceptibilities for the Hubbard model in a band approach. J. Exp. Theor. Phys. 89, 564–576 (1999). https://doi.org/10.1134/1.559016

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