Poor man's scaling: XYZ Coqblin-Schrieffer model revisited

Kogan, Eugene; Shi, Zheng

doi:10.1088/1742-5468/abe409

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Poor man's scaling: XYZ Coqblin-Schrieffer model revisited

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Kogan, Eugene
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Kogan, E., & Shi, Z. (2021). Poor man's scaling: XYZ Coqblin-Schrieffer model revisited. Journal of Statistical Mechanics: Theory and Experiment, 2021(3): 033101. doi:10.1088/1742-5468/abe409.

Cite as: https://hdl.handle.net/21.11116/0000-0008-78CE-A

Abstract

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.