论文标题
相关金属中增强的自旋轨道耦合
Enhanced Spin-Orbit Coupling in a Correlated Metal
论文作者
论文摘要
我们通过应用变异的蒙特卡洛方法研究了两种轨道哈伯德模型中对自旋轨道耦合（SOC）的相关效应。我们考虑一个有效的SOC常数$λ_{\ text {eff}} $在变量波函数的单身部分中，并主要讨论每个站点$ n = 1 $的电子数案例，即四分之一填充。我们发现，$λ_ {\ text {eff}} $与裸体值$λ$成比例，并取决于相对较宽的参数范围内通过$（u'-j'）$的电子 - 电子交互，在pmaragnetic（pm）阶段，$ u'$是$ u'$的$ u'$是互动的coulomb coulomb互动，$ j $ j'$ j'$ j's iS ACTICTACTIONS IS ACTICTICTINCTACTINCTACTICTINCTICTINCTICTINCTICT。在PM相中增加电子电子相互作用会导致向有效的单带状态的过渡，在该状态下，由于增强的$λ_ {\ text {eff}} $，上层频带变为空。我们还构建了考虑磁顺序的相图。还研究了对$λ_{\ text {eff}} $的载体掺杂效应。我们发现$λ_ {\ text {eff}} $在莫特过渡点附近的强相关区域中增强了增强，并且有必要在Hartree-fock近似之外包含相关效应，以正确地描述增强的SOC。
We investigate the correlation effects on spin-orbit coupling (SOC) in a two-orbital Hubbard model on a square lattice by applying the variational Monte Carlo method. We consider an effective SOC constant $λ_{\text{eff}}$ in the one-body part of the variational wave function and mainly discuss the cases of the electron number per site $n=1$, that is, quarter filling. We find that $λ_{\text{eff}}$ is proportional to the bare value $λ$ and depends on the electron-electron interactions through $(U'-J')$ in a relatively wide parameter range in the paramagnetic (PM) phase, where $U'$ is the interorbital Coulomb interaction and $J'$ is the pair hopping interaction. Increasing the electron-electron interactions in the PM phase leads to a transition to an effective one-band state, in which the upper band becomes empty due to the enhanced $λ_{\text{eff}}$. We also construct phase diagrams considering magnetic order. The carrier doping effect on $λ_{\text{eff}}$ is also investigated. We find that $λ_{\text{eff}}$ enhances in a strongly correlated region around the Mott transition point and it is necessary to include the correlation effects beyond the Hartree-Fock approximation to describe the enhanced SOC properly.
