title: Algebraic spin liquid in an exactly solvable spin model.
abstract: 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 model is, to the best of our knowledge, the first exactly solvable model of half-integer spins whose ground state is an "algebraic spin liquid."
authors.affiliation: Department of Physics, Stanford University, Stanford, California 94305, USA.
authors.forename: Hong
authors.initials: H
authors.lastname: Yao
authors.forename: Shou-Cheng
authors.initials: SC
authors.lastname: Zhang
authors.forename: Steven A
authors.initials: SA
authors.lastname: Kivelson