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arXiv 1807.05545cond-mat.str-el
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铜酸盐中四自旋循环交换的计算

Calculation of the four-spin cyclic exchange in cuprates

A. A. Aligia

摘要:

本文从三带哈伯德模型出发,用两种方法解析地计算了在无限在位库仑排斥和零O-O跳跃$t_{pp}$极限下的四自旋循环交换:i)$t_{pd}/Δ$中的微扰理论,其中$t_{pd}$为Cu-O跳跃能,$Δ$为Cu-O电荷转移能; ii)Cu $_4$ O $_4$格盘的精确解.后一种方法与$t_{pd}$中的第一阶8相一致,并允许将结果扩展到一阶的$t_{pd}/Δ$。这些结果与最近的实验和理论研究有关,这些研究将某些自旋激发的分裂与$Δ$和超导临界温度联系起来。

英文摘要:

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 Cu$_4$O$_4$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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