Emergent SU(3) symmetry in random spin-1 chains

Abstract

We show that generic SU(2)-invariant random spin-1 chains have phases with an emergent SU(3) symmetry. We map out the full zero-temperature phase diagram and identify two different phases: (i) a conventional random singlet phase (RSP) of strongly bound spin pairs (SU(3) "mesons") and (ii) an unconventional RSP of bound SU(3) "baryons", which are formed, in the great majority, by spin trios located at random positions. The emergent SU(3) symmetry dictates that susceptibilities and correlation functions of both dipolar and quadrupolar spin operators have the same asymptotic behavior.

5 pages plus 3-page Supplemental Material, 5 figures; published version

References in corpus (9)

• "Deconfined" quantum critical points
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Implementation of Spin Hamiltonians in Optical Lattices
• Correlation amplitude and entanglement entropy in random spin chains
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Weakly disordered absorbing-state phase transitions
• Emergent Symmetry and Dimensional Reduction at a Quantum Critical Point
• Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry
• Random Antiferromagnetic SU(N) Spin Chains

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• Entanglement properties of correlated random spin chains and similarities with conformal invariant systems
• Entanglement renormalization for disordered systems
• The correlation functions of certain random antiferromagnetic spin-1/2 critical chains
• Adaptive Density Matrix Renormalization Group for Disordered Systems
• Highly-symmetric random one-dimensional spin models
• Violation of the Bell inequality in quantum critical random spin-$1/2$ chains
• Random SU(2)-symmetric spin-$S$ chains
• Random free-fermion quantum spin chain with multi-spin interactions
• Dual dynamic scaling in deconfined quantum criticality
• Magnetic phases of spin-1 lattice gases with random interactions
• Schmidt gap in random spin chains
• Emergent SU(N) symmetry in disordered SO(N) spin chains
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Signatures of infinite randomness in transport properties of disordered spin chains