Chiral spin liquid wave function and the Lieb-Schultz-Mattis theorem.
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.
Sorella
Sandro
S
INFM-Democritos, National Simulation Centre, and SISSA, I-34014 Trieste, Italy.
Capriotti
Luca
L
Becca
Federico
F
Parola
Alberto
A