We demonstrate for the nearly half-filled Holstein-Hubbard model that the presence of antiferomagnetic spin correlations can cause polaronic carrier self-localization, and hence a strongly anharmonic lattice potential, already at moderate electron-phonon coupling strengths {λ}{~}0.2--0.4, up to substantial hole dopant concentrations cₕ{~}(20--30)%. The results are compared to recent observations of anharmonicity in the apical oxygen c-axis motion of cuprate superconductors.
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Zhong et al. (1992) studied this question.
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