Theory of Resonant X-ray Emission Spectra in f and Electron Systems

在迄今已知的磁性材料中，CESb具有最复杂的相图，它是温度和磁场的函数。复杂的磁相图被称为魔鬼的阶梯。一般来说，CeX(X=P，As，Bi，Sb)系列具有不同程度的复杂磁相图，这表明在CeX中观察到了一个共同的魔鬼阶梯机制。CeX的一个特点是载体很小。CeX的载流子由Γ点处的空穴和X点处的电子组成。在这种情况下，一种新的从空穴到电子的散射过程，反之亦然，伴随着与f自旋的自旋交换。这个过程可以被称为非对角线交换，而不是通常的散射在一个带内的交换。与他的非对角线交换相关的动量转移对应于反铁磁波矢量，有利于f自旋之间的反铁磁RKKY相互作用。另一方面，普通交易所在低载流子限制下更倾向于铁磁耦合。在这个项目中，我们通过使用一个简单的/

Among the magnetic materials known so far, CeSb has the most complex phase diagram as a function of temperature and magnetic field. The complex magnetic phase diagram is know as the devil's staircase. Generally, the series of CeX (X=P, As, Bi, Sb) have complex magnetic phase diagrams in different degree, which suggests that there is a common mechanism for the devil's staircase observed in CeX. A characteristic feature of CeX is smallness of carriers. The carriers of CeX consist of holes at the Γ point and electrons at the X points. Under this situation, a new type of scattering processes from holes to electrons and vice versa accompanied by spin exchange with f-spins. This process may be called off-diagonal exchange in contrast to the usual exchanges where the scattering are within a band. The momentum transfer associated with his off-diagonal exchange corresponds to the antiferromagnetic wave vector, favoring antiferromagnetic RKKY interaction among the f spins. On the other hand, the ordinary exchanges favor ferromagnetic coupling in the low carrier limit. In this project, we have shown that the frustration between the RKKY interactions originated from these two types of exchange mechanisms is the basic mechanism for the devil's staircase in CeX by using a simple/