穷人的尺度:对$XYZ$ Coqblin-Schrieffer模型的再认识
Poor man's scaling: $XYZ$ Coqblin--Schrieffer model revisited
摘要:
我们推导了描述嵌入巡游电子气中的量子杂质的一般哈密顿量的三阶穷人标度方程。我们证明了$XYZ$ Coqblin-Schrieffer模型是代数重整化的,在这个意义上的哈密顿量的形式是保持沿标度轨迹,写下模型的标度方程,并分析了重整化群流的情况下,恒定和赝能隙密度的状态。
英文摘要:
We derive the third-order poor man's scaling equation for a generic Hamiltonian describing a quantum impurity embedded into an itinerant electron gas. We show that the $XYZ$ Coqblin--Schrieffer model introduced by one of us earlier is algebraically renormalizable in the sense that the form of the Hamiltonian is preserved along the scaling trajectory, write down the scaling equations for the model, and analyze the renormalization group flows in the cases of both constant and pseudogap densities of states.
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