Erratum: In-phase flux state of the two-dimensional antiferromagnetic Heisenberg model and the Raman spectrum of La2CuO4

Abstract

The Raman spectrum of the in-phase flux state of the Wigner-Jordan spinless fermion, i.e., a flux state with in-phase orbital currents circulating around each elementary plaquette of the underlying lattice, of the two-dimensional spin-1/2 antiferromagnetic Heisenberg model is calculated and is found to be in excellent agreement with the experimental Raman spectrum of ${\mathrm{La}}_{2}$${\mathrm{CuO}}_{4}$. The exchange parameter J of the Heisenberg model is found to be 1060 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ from a comparison of the theoretical calculation with the experimental data. Our analysis also suggests that the short-wavelength excitations are fermion-like.