Topological ground state degeneracy of the two-channel Kondo lattice
arXiv:2410.01759 · doi:10.1103/jjvz-v94t
Abstract
There are indications from the large-N analysis that multi-channel Kondo lattices have topological order. We use the coupled-wire construction to study the channel paramagnetic regime of a two-channel Kondo lattice model of spin-1/2 SU(2) spins. Using abelian bosonization we show that in presence of particle-hole symmetry, each wire is described by a [SO(5)Ising]/Z SU(2) symmetric theory. When the wires are coupled together and the time-reversal symmetry is broken, the system exhibits topological order with fractional edge states and anyonic excitations. By an explicit construction of the Heisenberg algebra acting on the ground state manifold, we demonstrate that in presence of particle-hole symmetry, the ground state on a torus is eight-fold degenerate. This is also discussed using a heuristic approach which is applicable to other topologically ordered states.
References in corpus (17)
- An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
- Topological degeneracy of non-Abelian states for dummies
- Anyons in Multichannel Kondo Systems
- Mean-field description of odd-frequency superconductivity with staggered ordering vector
- Gapless chiral spin liquid from coupled chains on the kagome lattice
- Two dimensional spin liquids with topological order in an array of quantum wires
- Large-N Approach to the Two-Channel Kondo Lattice
- Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
- Channel-selective non-Fermi liquid behavior in the two-channel Kondo lattice model under a magnetic field
- Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
- Dynamical correlations in the spin-half two-channel Kondo model
- Collective excitations from composite orders in Kondo lattice with non-Kramers doublets
- Network construction of non-Abelian chiral spin liquids
- Dynamic mass generation and topological order in overscreened Kondo lattices
- Topological Quantum Computation on a Chiral Kondo Chain
- Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
- Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids