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Phase separation in the one-dimensional Hubbard model

J. H. Samson
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Abstract

The Hartree-Fock ground-state phase diagram of the one-dimensional Hubbard model is calculated in the $μ-U$ plane, restricted to phases with no charge density modulation, extending the results presented in cond-mat/9511116. This allows antiferromagnetism, saturated ferromagnetism, spiral spin density waves and a collinear structure with unit cell $\uparrow \uparrow \downarrow \downarrow$. The spiral phase is unstable against phase separation near quarter-, half- and three-quarter-filling. For large $U$ this occurs at hole (or electron) doping of $(3t/π^{2}U)^{1/3}$ from half filling.

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J. H. Samson. 1996-07-02. Phase separation in the one-dimensional Hubbard model. https://arxiv.org/abs/cond-mat/9607011

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