A square lattice algebraic spin liquid with SO(5) symmetry

Abstract

We propose a critical spin liquid ground state for S=1/2 antiferromagnets on the square lattice. In a renormalization group analysis of the `staggered flux' algebraic spin liquid, we examine perturbations, present in the antiferromagnet, which break its global SU(4) symmetry to SO(5). At physical parameter values, we find an instability towards a fixed point with SO(5) symmetry. We discuss the possibility that this fixed point describes a transition between the Neel and valence bond solid states, and the relationship to the SO(5) non-linear sigma model of Tanaka and Hu.

4 pages, 4 figures

References in corpus (10)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• On the stability of U(1) spin liquids in two dimensions
• Algebraic spin liquid as the mother of many competing orders
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Emergence of supersymmetry at a critical point of a lattice model
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Chiral symmetry breaking in ${\mathrm{QED}}_3$ in presence of irrelevant interactions: a renormalization group study
• Erratum: algebraic spin liquid as the mother of many competing orders

Cited by in corpus (4)

• The Renormalization Group Studies on Four Fermion Interaction Instabilities on Algebraic Spin Liquids
• Monopole Quantum Numbers in the Staggered Flux Spin Liquid
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory