Large-N Approach to the Two-Channel Kondo Lattice

Abstract

This paper studies the two-channel Kondo lattice in the large-N limit at half-filling. In this model, the continuous channel-symmetry is spontaneously broken, forming a channel ferromagnet in which one conduction channel forms a Kondo insulator, while the other remains conducting. The paper discusses how this ground-state can be understood using the concept of "order fractionalization", in which the channel magnetization breaks up into an emergent spinor order parameter. By integrating out the fermions we derive an effective action that describes this symmetry breaking and its emergent collective modes. A remarkable observation is that topological defects in the order parameter carry a U(1) flux, manifested in the Aharonov-Bohm phase picked by electrons that orbit the defect. By studying the effective action, we argue that the phase diagram contains a non-magnetic transition between a large and a small Fermi surface.

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• Hastatic Order in URu2Si2
• Transport anomalies in a simplified model for a heavy electron quantum critical point
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Cited by in corpus (11)

• Order Fractionalization in a Kitaev-Kondo model
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Dynamic mass generation and topological order in overscreened Kondo lattices
• A Mean-Field Study of Quantum Oscillations in Two-Dimensional Kondo Insulators
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• Topological ground state degeneracy of the two-channel Kondo lattice
• Towards Entanglement Entropy of Random Large-N Theories
• Bosonization solution of the Kondo lattice in a Luttinger liquid
• Antiferromagnetism and Stripe Channel Order in the $\mathrm{SU}(N)$-Symmetric Two-Channel Kondo Lattice Model
• Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations