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arXiv 2104.14853cond-mat.str-elcond-mat.supr-con
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铜氧化物超导体中存在$d$波键序时自旋涨落的发展

Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors

Satoshi Ando, Youichi Yamakawa, Seiichiro Onari, Hiroshi Kontani

摘要:

在铜氧化物超导体中,超导性出现在低于CDW转变温度$T_{CDW}$。然而,CDW秩序下的多体电子态仍然远未被理解。在这里,我们研究的$d$波键序(BO)与波矢量$q=(π/2,0),(0,π/2)$,这是从最近的理论研究中的顺磁干涉机制导出的存在下的自旋涨落的发展。基于$4 \times 1$和$4 \times 4$团簇哈伯德模型,利用涨落交换近似(FLEX)自洽地计算了自旋磁化率与自能之间的反馈效应.发现$d$波BO导致核磁弛豫率$1/T_1$的相当大的抑制.相比之下,$T_c$的降低较小,因为静态磁化率$χ^s(Q_s)$仅轻微地受BO影响。验证了$d$波BO方案与$T_{CDW}$以下的实验电子性质是一致的.

英文摘要:

In cuprate superconductors, superconductivity appears below the CDW transition temperature $T_{CDW}$. However, many-body electronic states under the CDW order are still far from understood. Here, we study the development of the spin fluctuations under the presence of $d$-wave bond order (BO) with wavevector $q=(π/2,0),(0,π/2)$, which is derived from the paramagnon interference mechanism in recent theoretical studies. Based on the $4 \times 1$ and $4 \times 4$ cluster Hubbard models, the feedback effects between spin susceptibility and self-energy are calculated self-consistently by using the fluctuation-exchange (FLEX) approximation. It is found that the $d$-wave BO leads to a sizable suppression of the nuclear magnetic relaxation rate $1/T_1$. In contrast, the reduction in $T_c$ is small, since the static susceptibility $χ^s(Q_s)$ is affected by the BO just slightly. It is verified that the $d$-wave BO scenario is consistent with the experimental electronic properties below $T_{CDW}$.

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