Erratum: algebraic spin liquid as the mother of many competing orders

TL;DR

This paper corrects a previous error regarding the relationship between certain fermion bilinears and competing orders in algebraic spin liquids, clarifying the nature of their correlations.

Contribution

It clarifies that a specific fermion bilinear, the uniform spin chirality, is not related to the competing orders previously thought in algebraic spin liquids.

Findings

The fermion bilinear does not have the slowly decaying correlations of competing orders.

The correction refines understanding of order relationships in algebraic spin liquids.

The uniform spin chirality is not associated with the competing orders in the corrected analysis.

Abstract

We correct an error in our paper Phys. Rev. B 72, 104404 (2005) [cond-mat/0502215]. We show that a particular fermion bilinear is not related to the other ``competing orders'' of the algebraic spin liquid, and does not possess their slowly decaying correlations. For the square lattice staggered flux spin liquid (equivalently, d-wave RVB state), this observable corresponds to the uniform spin chirality.