Square-lattice algebraic spin liquid with SO(5) symmetry.

A Square Lattice Algebraic Spin Liquid with SO(5) Symmetry

Theory of the algebraic vortex liquid in an anisotropic spin - 12 triangular antiferromagnet

We explore spin2 triangular antiferromagnets with both easy-plane and lattice exchange anisotropies by employing a dual vortex mapping followed by a fermionization of the vortices. Over a broad range of exchange anisotropy, this approach leads naturally to a “critical” spin liquid—the algebraic vortex liquid—which appears to be distinct from other known spin liquids. We present a detailed chara...

Classification of spin liquids on the square lattice with strong spin-orbit coupling

Spin liquids represent exotic types of quantum matter that evade conventional symmetry-breaking order even at zero temperature. Exhaustive classifications of spin liquids have been carried out in several systems, particularly in the presence of full SU(2) spin-rotation symmetry. Real magnetic compounds, however, generically break SU(2) spin symmetry as a result of spin-orbit coupling— which in ...

Continuous phase transition from Néel state to Z2 spin-liquid state on a square lattice

Recent numerical studies of the J1-J2 model on a square lattice suggest a possible continuous phase transition between the Néel state and a gapped spin-liquid state with Z2 topological order. We show that such a phase transition can be realized through two steps: First bring the Néel state to the U(1) deconfined quantum critical point, which has been studied in the context of Néel–valence bond ...

Algebraic spin liquid in an exactly solvable spin model.

We have proposed an exactly solvable quantum spin-3/2 model on a square lattice. Its ground state is a quantum spin liquid with a half-integer spin per unit cell. The fermionic excitations, dubbed as "spinons", are gapless with a linear dispersion, while the topological "vison" excitations are gapped. Moreover, these massless fermionic spinon excitations are topologically stable. Thus, this mod...