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

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• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
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• The Renormalization Group Studies on Four Fermion Interaction Instabilities on Algebraic Spin Liquids
• Deconfined Quantum Critical Point on the Triangular Lattice
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Monopole Quantum Numbers in the Staggered Flux Spin Liquid
• Liquids in multi-orbital SU(N) Magnets with Ultracold Alkaline Earth Atoms
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Diagnosing weakly first-order phase transitions by coupling to order parameters
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• Non-abelian bosonization in two and three spatial dimensions and applications
• 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
• Emergent gauge fields and their nonperturbative effects in correlated electrons
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• "Self-Dual" Quantum Critical Point on the surface of $3d$ Topological Insulator