Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5

Round 1

Reviewer 1 Report

In the manuscript by P. Schlottmaan, the author studied the antiferromagnetic Heisenberg chain with anisotropic nearest neighbor coupling. By solving the Bethe Ansatz equation, the author obtained the spin excitation dispersions, from which the group velocities are obtained. In addition, the author used the Bethe Ansantz equations to calculate the correction in the density function and energy to those in the ground state. I recommend this manuscript to be published in the present journal. Before the publication, I have several technical comments.

Please see the attachment for the comments.

Comments for author File: Comments.pdf

Author Response

see attached

Author Response File: Author Response.pdf

Reviewer 2 Report

The paper is devoted to the determination of the T = 0 excitation spectra of the antiferromagnetic anisotropic Heisenberg chain of spins ½, using the Bethe Ansatz equations. The investigation has been performed for special values of the anisotropic coupling term. The low-energy excitations form a Luttinger liquid whereas higher energy excitations exhibit deviations from the Luttinger behavior due to the curvature in the dispersion. Moreover, the case of adding a mobile impurity coupled to the Luttinger liquid modes is treated. The finite size corrections are also evaluated for the system in the ground state including a high-energy particle or hole excitation.

The paper is well organized and presented. However, before publication I strongly suggest adding a paragraph where potential application or explanation of available experimental results are firstly discussed and hence compared to the results of the present paper. Otherwise, the paper remains at academic level.

Author Response

see attached

Author Response File: Author Response.pdf