Reply to "Comment on 'Chiral ordering in a frustrated quantum spin system' "

Abstract

We discuss different definitions of chiral order parameters for spin systems. For the ${\mathit{J}}_{1}$-${\mathit{J}}_{2}$ frustrated Heisenberg model on a finite square lattice, we calculate the vector chirality in the ground state. Unlike the ``spiral'' order parameter, the vector chiral order parameter shows a significant enhancement for strong frustration ${\mathit{J}}_{2}$\ensuremath{\approxeq}0.5${\mathit{J}}_{1}$ in comparison to its corresponding high-temperature expectation value. That indicates different finite-size contributions for both types of order parameters. Thus, we argue that we found some evidence for enhanced vector chiral correlations in the ${\mathit{J}}_{1}$-${\mathit{J}}_{2}$ model.