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

Abstract

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 $q=(\pi /2,0),(0,\pi /2)$, 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 ${\chi }^s(Q_s)$ is affected by the BO just slightly. It is verified that the $d$-wave BO scenario is consistent with the experimental electronic properties below $T_{CDW}$.

8 pages,7 figures, to be published in J. Phys. Soc. Jpn

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