title: Chiral spin liquid wave function and the Lieb-Schultz-Mattis theorem.
abstract: We study a chiral spin liquid wave function defined as a Gutzwiller projected BCS state with a complex pairing function. After projection, spontaneous dimerization is found for any odd but finite number of chains, thus satisfying the Lieb-Schultz-Mattis theorem, whereas for an even number of chains there is no dimerization. The two-dimensional thermodynamic limit is consistently reached for a large number of chains since the dimer order parameter vanishes in this limit. This property clearly supports the possibility of a spin liquid ground state in two dimensions with a gap to all physical excitations and with no broken translation symmetry.
authors.affiliation: INFM-Democritos, National Simulation Centre, and SISSA, I-34014 Trieste, Italy.
authors.forename: Sandro
authors.initials: S
authors.lastname: Sorella
authors.forename: Luca
authors.initials: L
authors.lastname: Capriotti
authors.forename: Federico
authors.initials: F
authors.lastname: Becca
authors.forename: Alberto
authors.initials: A
authors.lastname: Parola