Dynamic mass generation and topological order in overscreened Kondo lattices

Abstract

Multichannel Kondo lattice models are examples of strongly correlated electronic systems that exhibit non-Fermi-liquid behavior due to the presence of a continuous channel symmetry. Mean-field analyses have predicted that these systems undergo channel symmetry breaking at low temperature. We use the dynamical large-$N$ technique to study temporal and spatial fluctuations of the multichannel Kondo model on a honeycomb lattice and find that this prediction is not generally true. Rather, we find a 2+1D conformally invariant fixed point, governed by critical exponents that are found numerically. When we break time-reversal symmetry by adding a Haldane mass to the conduction electrons, three phases, separated by continuous transitions, are discernible: one characterized by dynamic mass generation and spontaneous breaking of the channel symmetry, one where topological defects restore channel symmetry but preserve the gap, and one with a Kondo-coupled chiral spin liquid. We argue that the last phase is a fractional Chern insulator with anyonic excitations.

arXiv comment18 pages, 13 figures

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Cited by in corpus (5)

• Topological ground state degeneracy of the two-channel Kondo lattice
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• 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