RuO₂中随机相位近似下的初始磁不稳定性
Incipient magnetic instability in RuO$_2$ with random phase approximation
AI总结：
研究RuO₂中磁不稳定性，采用Hartree-Fock近似结合随机相位近似，发现自旋磁化率主导响应，低温下出现调和反磁序，高温或掺杂下出现无调和波矢磁序。
摘要：
我们使用Hartree-Fock近似后接随机相位近似研究RuO₂的不稳定性。采用无自旋轨道耦合的三轨道Hubbard模型。分析非磁相中不同局部相互作用参数U、J_H和空穴掺杂n下的本征值和本征向量，发现自旋磁化率是主导响应通道。在无自旋轨道耦合的化学计量系统中，足够低温下识别出调和反磁序为主要不稳定性，而在更高温度或有限空穴掺杂下，无调和波矢出现。为阐明磁不稳定性起源，我们分析了阶梯Weiss场引起的能带分裂，并讨论了反磁体与反铁磁体的定性差异。
英文摘要：
We study the instability in RuO$_2$ using the Hartree-Fock approximation followed by the random phase approximation. We employ a three-orbital Hubbard model without spin-orbit coupling. An analysis of the eigenvalues and eigenvectors of the static susceptibility in the non-magnetic phase for various local interaction parameters $U$, $J_H$, and hole doping $n$ shows that the spin susceptibility is the dominant response channel. In the stoichiometric system without spin-orbit coupling, commensurate altermagnetic order is identified as the leading instability at sufficiently low temperatures, whereas at higher temperatures or finite hole doping, incommensurate wave vectors emerge. To elucidate the origin of the magnetic instability, we analyze the band spitting by the staggered Weiss field and discuss the qualitative difference between altermagnets and antiferromagnets.
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