Solution of the Multi-Channel Anderson Impurity Model: Ground state and thermodynamics

Abstract

We present the solution of the SU(N) x SU(M) Anderson impurity model using the Bethe-Ansatz. We first explain what extensions to the formalism were required for the solution. Subsequently we determine the ground state and derive the thermodynamics over the full range of temperature and fields. We identify the different regimes of valence fluctuation at high temperatures, followed by moment formation or intrinsic mixed valence at intermediate temperatures and a low temperature non-Fermi liquid phase. Among other things we obtain the impurity entropy, charge valence and specific heat over the full range of temperature. We show that the low-energy physics is governed by a line of fixed points. This describes non-Fermi-liquid behavior in the integral valence regime, associated with moment formation, as well as in the mixed valence regime where no moment forms.

28 pages, 8 figures, 1 table

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• Prediction of the capacitance lineshape in two-channel quantum dots
• Two-channel Anderson Impurity Model: Single-electron Green's function, self-energies, and resistivity
• Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Derivation of matrix product states for the Heisenberg spin chain with open boundary conditions
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Quantum Criticality Enabled by Intertwined Degrees of Freedom
• 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
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Continuous-Time Quantum Monte Carlo Study of Local Non-Fermi Liquid State in the Multichannel Anderson Model
• Proposal for a two-channel quantum dot setup: Prediction for the capacitance lineshape