Emergent SU(3) symmetry in a four leg spin tube

Abstract

We consider an antiferromagnetic four leg spin-1/2 tube using abelian and non-abelian bosonization. We show that in the limit of weak interchain coupling, the most relevant interaction gives rise to an emergent SU(3)} symmetry, broken only by marginal interactions that can be canceled by diagonal interchain couplings. We discuss the low energy spectrum in the semiclassical limit and using a mapping to a trimerized SU(3) spin chain. We establish that the correlation functions of ferroquadrupolar operators can be used to reveal the emergent symmetry.

RevTex 4-2, 17 pages, 1 PDF figure

References in corpus (9)

• New Trends in Density Matrix Renormalization
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Quantum spin nanotubes -- frustration, competing orders and criticalities
• Dimensional crossover in a spin liquid to helimagnet quantum phase transition
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
• Dynamical symmetry enlargement in metallic zigzag carbon nanotubes
• Magnetic resonance of collective paramagnets with gapped excitations spectrum