Quantum spin liquid with 7 elementary particles
arXiv:1702.01359 · doi:10.1103/PhysRevB.95.144425
Abstract
We present an exactly solvable model of a quantum spin liquid with Abelian anyons in d=2 spatial dimensions. With spins 1/2 on a triangular lattice and six-body interactions, our model has zero spin correlation length and localized elementary excitations like the toric codes of Kitaev and Wen. In contrast to those earlier models, it has more elementary particles---4 bosons and 3 fermions---and higher topological degeneracy of 64 on a torus. Elementary excitations are boson-fermion pairs that come in 12 distinct flavors. We use string operators to expose the topological nature of the model.
arXiv comment12 pages, 19 figures
References in corpus (12)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Quantum Spin Liquids
- Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl
- Quantum orders in an exact soluble model
- Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
- Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
- Quantum order from string-net condensations and origin of light and massless fermions
- Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model
- Topological Bootstrap: Fractionalization From Kondo Coupling
- Majorana Edge States for Z2 Topological Orders of the Wen-plaquette Model and the Toric-code Model