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Anderson impurity model in a semiconductor

机译:半导体中的安德森杂质模型

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We consider an Anderson impurity model in which the locally correlated orbital is coupled to a host with a gapped density of states. Single-particle dynamics are studied within a perturbative framework that includes both explicit second-order perturbation theory and self-consistent perturbation theory to all orders in the interaction. Away from particle-hole symmetry, the system is shown to be a generalized Fermi liquid (GFL) in the sense of being perturbatively connectable to the noninteracting limit, and the exact Friedel sum rule for the GFL phase is obtained. We show by contrast that the particle-hole-symmetric point of the model is not perturbatively connected to the noninteracting limit and as such is a non-Fermi liquid for all nonzero gaps. Our conclusions are in agreement with numerical renormalization group studies of the problem.
机译:我们考虑一个安德森杂质模型,其中局部相关的轨道耦合到状态密度为间隙的宿主。在微扰框架内研究单粒子动力学,该框架既包括显式二阶微扰理论,也包括针对相互作用中所有阶的自洽微扰理论。从粒子-孔的对称性出发,该系统在可微扰地连接到非相互作用极限的意义上被证明是广义费米液体(GFL),并且获得了GFL相的精确Friedel和规则。相比之下,我们显示出该模型的粒子-孔对称点没有扰动地连接到非相互作用极限,因此对于所有非零间隙来说,它都是非费米液体。我们的结论与该问题的数值归一化小组研究一致。

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