Critical Theory of the Two-Channel Anderson Impurity Model

Abstract

We construct the boundary conformal field theory that describes the low-temperature behavior of the two-channel Anderson impurity model. The presence of an exactly marginal operator is shown to generate a line of stable fixed points parameterized by the charge valence of the impurity. We calculate the exact zero-temperature entropy and impurity thermodynamics along the fixed line. We also derive the critical exponents of the characteristic Fermi edge singularities caused by time-dependent hybridization between conduction electrons and impurity. Our results suggest that in the mixed-valent regime the electrons participate in two competing processes, leading to frustrated screening of spin and channel degrees of freedom. By combining the boundary conformal field theory with the Bethe Ansatz solution we obtain a complete description of the low-energy dynamics of the model.

arXiv commentRevtex, 19 pages, 3 figures. Replaced with published version (Eq. 25 corrected, minor typographical changes, added references)

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• Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
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• Two-channel Anderson Impurity Model: Single-electron Green's function, self-energies, and resistivity
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Bipolaron-SO(5) Non-Fermi Liquid in a Two-channel Anderson Model with Phonon-assisted Hybridizations
• Magnetic Kondo regimes in a frustrated half-filled trimer
• The Two-Impurity Anderson Model at Quantum Criticality
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Kondo Problem and Related One-Dimensional Quantum Systems: Bethe Ansatz Solution and Boundary Conformal Field Theory
• Conformal Field Theory Approach to the Two-channel Anderson Model
• Proposal for a two-channel quantum dot setup: Prediction for the capacitance lineshape