The two-orbital Hubbard-Kanamori model is studied using the strong coupling diagram technique. This approach allows one to take into account the interactions of electrons with spin, charge, and orbital fluctuations of all ranges. It was found that, at low temperatures, the model has four regions of the negative electron compressibility, which can lead to charge inhomogeneities with the assistance of phonons. For half-filling, the phase diagram of the model contains regions of the Mott and Slater insulators, bad-metal, and states with spin-polaron peaks. These sharp peaks at the Fermi level are seen in doped states also. A finite Hund coupling leads to a large increase of antiferromagnetic spin correlations with strong suppression of charge and orbital fluctuations near half-filling. For moderate doping, all types of correlations become comparable. They peak at the antiferromagnetic wave vector except for a narrow region with an incommensurate response. Stronger doping destroys all correlations.

中文翻译：

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Hubbard-Kanamori 模型：光谱函数、负电子压缩率和磁化率

使用强耦合图技术研究了双轨道 Hubbard-Kanamori 模型。这种方法允许人们考虑电子与所有范围的自旋、电荷和轨道波动的相互作用。发现在低温下，该模型具有四个负电子可压缩性区域，这会在声子的帮助下导致电荷不均匀。对于半填充，模型的相图包含 Mott 和 Slater 绝缘体、坏金属和具有自旋极化子峰的状态的区域。这些费米能级的尖峰也可见于掺杂态。有限的 Hund 耦合导致反铁磁自旋相关性的大量增加，并在半填充附近强烈抑制电荷和轨道波动。对于中度兴奋剂，所有类型的相关性都具有可比性。除了响应不相称的狭窄区域外，它们在反铁磁波矢量处达到峰值。更强的掺杂破坏了所有相关性。