Chirality and flux in two-dimensional spin-1/2 antiferromagnets — exact diagonalization study

The possibility of chiral symmetry breaking in quantum spin systems is examined by the extrapolation of exactly diagonalized results on finite lattices in the ground state. Both on the triangular and the square lattice, linear dependence of squared chirality on the inverse linear size in the free boundary condition strongly suggests that the correlation of chirality defined by S₁ (S₂ × S₂) is short-ranged in the thermodynamic limit, which also leads to the absence of the flux state.