论文标题
反铁磁性钙壶中的异常大厅效应
Anomalous Hall effect in antiferromagnetic perovskites
论文作者
论文摘要
从理论上讲，我们在具有抗铁磁（AFM）顺序的钙棍蛋白酶中研究异常的霍尔效应（AHE）。通过研究Hartree-fock近似中GDFEO $ _3 $ -Type失真的钙钛矿过渡金属氧化物中的$ d $电子的多型哈币模型，我们研究了由于原子旋转响应理论，我们研究了内在AHE的行为。我们考虑在$ t_ {2g} $ orbitals中存在两个（$ d^2 $）和三个（$ d^3 $）电子的情况，并表明AFM订购的州可以展示AHE。在$ d^2 $的情况下，$ c $ type afm州在伴随轨道订购的绝缘体中产生了金属和光学（有限$ω$）AHE的DC AHE，而在$ d^3 $ case中，A $ G $ -G $ -G $ -TTYPE AFM INSULATINE INSTAING STATATION STATATINE STATATINE STATATINE SATES SADICAL SADICAL AHE支持光学AHE。通过在与空间群对称兼容的自旋模式中解析组件，我们指定了colineArearear AFM组件以负责AHE，而不是小铁磁分量。我们讨论了AHE的微观起源：类别AFM自旋结构从晶格的三角形单元中产生非零浆果相，该相位由于GDFEO $ _3 $ type扭曲而被复杂的轨道混合术语激活，并在微观lorentz lorentz力中激活。
We theoretically study the anomalous Hall effect (AHE) in perovskites with antiferromagnetic (AFM) orderings. By studying the multiorbital Hubbard model for $d$ electrons in perovskite transition metal oxides under the GdFeO$_3$-type distortion within the Hartree-Fock approximation, we investigate the behavior of intrinsic AHE owing to the atomic spin-orbit coupling via the linear response theory. We consider the cases where there exist two ($d^2$) and three ($d^3$) electrons in the $t_{2g}$ orbitals, and show that AFM ordered states can exhibit AHE. In the $d^2$ case, $C$-type AFM states give rise to dc AHE in metals and optical (finite-$ω$) AHE in insulators accompanying orbital ordering, while in the $d^3$ case, a $G$-type AFM insulating state supports the optical AHE. By resolving the components in the spin patterns compatible with the space group symmetry, we specify the collinear AFM component to be responsible for the AHE, rather than the small ferromagnetic component. We discuss the microscopic origin of the AHE: the collinear AFM spin structure produces a nonzero Berry phase from the triangular units of the lattice, activated by the complex orbital mixing terms owing to the GdFeO$_3$-type distortion, and results in the microscopic Lorentz force.
