Manumitting slave-spins in the Anderson impurity model

Abstract

We show that a generic single-orbital Anderson impurity model, lacking for instance any kind of particle-hole symmetry, can be exactly mapped without any constraint onto a resonant level model coupled to two Ising variables, which reduce to one if the hybridisation is particle-hole symmetric. The mean-field solution of this model is found to be stable to unphysical spontaneous magnetisation of the impurity, unlike the saddle-point solution in the standard slave-boson representation. Remarkably, the mean-field estimate of the Wilson ratio approaches the exact value $R_{\text{W}}=2$ in the Kondo regime.

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Cited by in corpus (5)

• Edge zeros and boundary spinons in topological Mott insulators
• Transport through a magnetic impurity: a slave-spin approach
• Exactly solvable Majorana-Anderson impurity models
• Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system
• Slave-spin approach to the Anderson-Josephson quantum dot