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arXiv:2207.00250 · Physics Letters A

Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with U≲∞

Mitake Miyazaki, Takashi Yanagisawa

Published Jun 17, 2022• 2 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2022.128276

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Using the Hartree‐Fock approximation we analyze the properties and stability of the filled (one doped hole per stripe site) vertical stripes (VS) and diagonal stripes (DS), found in the two‐dimensional Hubbard model at two representative doping levels x = 1/8 and x = 1/6, by varying the ratio of the on‐site Coulomb repulsion U to the hopping element t. In the weak coupling regime of U ∼ 3.5t the stability of VS is best explained by the solitonic mechanism which leads to the kinetic energy gain due to the hopping perpendicular to the stripes, while DS have a lower potential energy which explains their stability in the regime of large U. The results obtained beyond the Hubbard model are shortly reviewed as well.