Fractional spin liquid hierarchy for spin S antiferromagnets

Abstract

We propose a hierarchy of spin liquids with spin S, which are generated via a Schwinger boson projection from 2S (Abelian) chiral spin liquids with S=1/2. We argue that the P and T invariant liquids we construct for integer spin S support SU(2) level k=S non-Abelian statistics. We conjecture that these spin liquids serve as paradigms for antiferromagnets which are disordered through mobile charge carriers.

4 pages, 1 figure, 1 table

References in corpus (6)

• Quantum magnetism and criticality
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Fractionalization, topological order, and quasiparticle statistics
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory

Cited by in corpus (32)

• Classification and analysis of two dimensional abelian fractional topological insulators
• Wire deconstructionism of two-dimensional topological phases
• Non-Abelian Quantum Hall Effect in Topological Flat Bands
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Coupled wire construction of chiral spin liquids
• Parent Hamiltonian for the non-Abelian chiral spin liquid
• Chiral Spin Liquids in Arrays of Spin Chains
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Pseudopotential Formalism for Fractional Chern Insulators
• Non-Abelian Braiding of Lattice Bosons
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Establishing non-Abelian topological order in Gutzwiller projected Chern insulators via Entanglement Entropy and Modular S-matrix
• Topological Insulators and Quantum Spin Liquids
• 3- and 4-body Interactions from 2-body interactions in Spin Models: A Route to Abelian and Non-Abelian Fractional Chern Insulators
• Universal entanglement spectra in critical spin chains
• Non-Abelian chiral spin liquid on a simple non-Archimedean lattice
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Double-semion topological order from exactly solvable quantum dimer models
• Interaction Protected Topological Insulators with Time Reversal Symmetry
• Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions
• Interacting and fractional topological insulators via the ${\mathbb{Z}}_2$ chiral anomaly
• Accessing topological order in fractionalized liquids with gapped edges
• Generalizations of Perelomov's identity on the completeness of coherent states
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Non-Abelian Statistics in one dimension: topological momentum spacings and SU(2) level $k$ fusion rules
• Current enhancement through a time dependent constriction in fractional topological insulators
• Conformal field theory and the non-abelian $SU(2{)}_k$ chiral spin liquid
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Exact Mappings in Condensed Matter Physics