针对Korolev和Talantsev对Li等人《Nature》论文中超导相分数计算的批评，本文作者逐一回应：首先，经实验确认低温尾巴的弱上升源于背景，且未观察到顺磁迈斯纳效应，因此场冷数据可用于计算超导相分数；其次，退磁效应必须基于实际测量磁矩随超导相分数f的变化，而Korolev等错误地将退磁场视为常数，导致其公式低估f约三分之二（因子接近1/3），解释了其计算结果仅为报道值（约62.1%）约三分之一的原因；最后，样品的多种表征（能谱、X射线衍射、核四极共振、扫描透射电镜等）证实为均匀高质量块体单晶，不存在多个离散超导区域。因此，Li等人《Nature》论文中超导相分数的计算方法并未被Korolev等的分析推翻。
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The recent discovery of a superconductivity signature in La3Ni2O7-δ under a pressure of 14 GPa, with a superconducting transition temperature of around 80 K, has attracted considerable attention. An important aspect of investigating electronic structures is discerning the extent to which the electronic ground state of La3Ni2O7-δ resembles the parent state of the cuprate superconductor, a charge transfer insulator with long-range antiferromagnetism. Through X-ray absorption spectroscopy, we reveal the influence of oxygen ligands on the electronic ground states of the Ni ions, displaying a charge transfer nature akin to cuprate but with distinct orbital configurations. Additionally, in La3Ni2O7-δ films, we detect a superlattice reflection (1/4, 1/4, L) at the Ni L absorption edge using resonant X-ray scattering measurements. Further examination of the resonance profile indicates that the reflection originates from the Ni d orbitals. By evaluating the reflection’s azimuthal angle dependence, we confirm the presence of collinear antiferromagnetic spin ordering and charge-like anisotropy ordered with the same periodicity. Our findings reveal a microscopic relationship between these two components in the temperature dependence of the scattering intensity of the reflection. This investigation enriches our understanding of high-temperature superconductivity in La3Ni2O7-δ under high pressure.
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本研究采用行列式量子蒙特卡罗方法，在三轨道Emery模型基础上加入具有三维色散的间隙$s$轨道，模拟无限层镍酸盐的低能电子结构。大规模计算发现：强关联效应显著缩小了间隙$s$轨道产生的电子口袋，但在20%空穴掺杂下口袋仍存续，大小与ARPES实验观测相当；$d_{x^2-y^2}$轨道色散受到强烈重正化，沿$k_z$方向的弱色散与实验一致。此外，与常规三轨道模型相比，引入$s$轨道后系统的短程反铁磁关联明显增强。这些结果揭示了强关联和多轨道效应在决定无限层镍酸盐低能电子态和自旋关联中的关键作用，表明必须在实际多轨道框架中处理相互作用驱动的多体物理。
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