Calculation of the four-spin cyclic exchange in cuprates

2018/07/31 by A. A. Aligia · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.125118

published as Phys. Rev. B 98, 125118 (2018) · 6 pages, 2 figures, some typos corrected and references added

arxiv created 2018/08/24 · arxiv updated 2018/09/12

Abstract

Starting from the three-band Hubbard model for the cuprates, we calculate analytically the four-spin cyclic exchange in the limit of infinite on-site Coulomb repulsion and zero O-O hopping t_pp using two methods: i) perturbation theory in t_pd/Δ, where t_pd is the Cu-O hopping and Δ the Cu-O charge transfer energy and ii) exact solution of a Cu₄O₄ plaquette. The latter method coincides with the first to order eight in t_pd and permits to extend the results to t_pd/Δ of order one. The results are relevant to recent experimental and theoretical research that relate the splitting of certain spin excitations with Δ and the superconducting critical temperature.

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