论文标题
在自旋屈服系统中竞争狄拉克电子的有效相互作用
Competing effective interactions of Dirac electrons in the Spin-Fermion system
论文作者
论文摘要
最近发现的高级材料(例如繁重的费米子)经常显示出丰富的相图,表明存在不同的竞争相互作用。通常没有这些材料的理解非常重要的对这些多个相互作用的起源的统一描述。因此,拥有一个简单的模型可能会非常有用,其中可能会追溯到不同交互的常见来源。在这项工作中,我们考虑了一个系统,该系统由一组局部旋转在正方形晶格上,具有抗铁磁磁性最近的邻居相互作用和流动电子,这些电子被认为是狄拉克样的,并通过近核磁相互作用与局部旋转相互作用。该系统是由自旋特性模型方便地描述的,我们使用该系统来确定巡回电子之间的有效相互作用。通过整合局部自由度,我们获得了一组不同的相互作用,其中包括:BCS样超导术语,Nambu-Jona-lasinio类似于nambu-jona-lasinio,兴奋性术语和自旋旋转磁性项。通过评估平均场自由能作为相关顺序参数的函数来研究所得相图。这显示了上述相互作用的竞争,具体取决于温度,化学势和耦合常数。
Recently discovered advanced materials, such as heavy fermions, frequently exhibit a rich phase diagram suggesting the presence of different competing interactions. A unified description of the origin of these multiple interactions, albeit very important for the comprehension of such materials is, in general not available. It would be therefore very useful to have a simple model where the common source of different interactions could be possibly traced back. In this work we consider a system consisting in a set of localized spins on a square lattice with antiferromagnetic nearest neighbors interactions and itinerant electrons, which are assumed to be Dirac-like and interact with the localized spins through a Kondo magnetic interaction. This system is conveniently described by the Spin-Fermion model, which we use in order to determine the effective interactions among the itinerant electrons. By integrating out the localized degrees of freedom we obtain a set of different interactions, which includes: a BCS-like superconducting term, a Nambu-Jona-Lasinio-like, excitonic term and a spin-spin magnetic term. The resulting phase diagram is investigated by evaluation of the mean-field free-energy as a function of the relevant order parameters. This shows the competition of the above interactions, depending on the temperature, chemical potential and coupling constants.