Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality

Abstract

Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; arXiv:2308.03569 (companion paper I)) and the demonstration of its validity over the past proposal of compactification, we resort to a study of scaling using Anderson's simple poor man's procedure to carry out a comparative study of these two and the original model. By doing so we unveil a universal agreement among the three models in how they flow upon scaling, and suggest the general limits of such a concordance. In this way we further elucidate the conditions under which the standard simplifications implicit in many bosonization-based mappings (particularly of quantum impurity models) can be used reliably, and when the consistent bosonization-debosonization approach is needed.

19 pages, 9 figures

References in corpus (33)

• Observation of the two-channel Kondo effect
• Topological Kondo effect with Majorana fermions
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
• The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
• Multi-Terminal Coulomb-Majorana Junction
• Multi-channel Kondo impurity dynamics in a Majorana device
• The Screening Cloud in the k-Channel Kondo Model: Perturbative and Large-k Results
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene
• Solution of the Two-Channel Anderson Impurity Model - Implications for the Heavy Fermion UBe${}_{13}$ -
• Non-equilibrium conductance of a three-terminal quantum dot in the Kondo regime: Perturbative Renormalization Group
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Critical Theory of the Two-Channel Anderson Impurity Model
• Solution of the Multi-Channel Anderson Impurity Model: Ground state and thermodynamics
• Non-Fermi liquid behavior in Kondo models
• Two-sites quantum island in the quasi-ballistic regime
• Perturbative renormalization of multi-channel Kondo-type models
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• Prediction of the capacitance lineshape in two-channel quantum dots
• Dissipative dynamics of an extended magnetic nanostructure: Spin necklace in a metallic environment
• Low energy fixed points of the sigma-tau and the O(3) symmetric Anderson models
• Two-channel Anderson Impurity Model: Single-electron Green's function, self-energies, and resistivity
• Intermediate coupling fixed point study in the overscreened regime of generalized multichannel SU(N) Kondo models
• Current induced decoherence in the multichannel Kondo problem
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Topological symplectic Kondo effect
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Numerical Renormalization Group Study of the O(3)-symmetric Anderson Model
• Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• The beta function of the multichannel Kondo model

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• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
• Bosonization solution of the Kondo lattice in a Luttinger liquid