We investigate the possibility of spontaneous loop currents in the two-leg ladder cuprate ${\mathrm{Sr}}_{14-x}{\mathrm{Ca}}_x{\mathrm{Cu}}_{24}{\mathrm{O}}_{41}$ by applying cluster dynamical mean field theory (CDMFT) to a seven-band Hubbard model for that compound, with an exact diagonalization solver. We sample several values of the local interaction $U_d$ and of the Cu-O energy difference $E_{pd}$, by applying an external field that induces loop currents. We find no instance of spontaneous loop currents once the external field is brought to zero.

中文翻译：

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梯形铜酸盐中的回路电流：动力学平均场理论研究

我们研究了两腿梯形铜酸盐中自发回路电流的可能性 $r_{14-X}{钙}_X{铜}_{24}{\mathrm{Ø}}_{41}$通过将簇动态平均场理论（CDMFT）应用于该化合物的七波段Hubbard模型，并使用精确的对角化求解器。我们采样了几个局部交互的值${ü}_d$ 和Cu-O能量差 ${Ë}_{pd}$通过施加感应环路电流的外部磁场。一旦外部磁场变为零，我们就不会发现自发环路电流的情况。