Corrigendum to “Pseudofermion dynamical theory for the spin dynamical correlation functions of the half-filled 1D Hubbard model” [Nucl. Phys. B 904 (2016) 39] (Nuclear Physics B (2016) 904 (39–85), (S0550321316000109), (10.1016/j.nuclphysb.2016.01.009))

Abstract

We wish to report the following corrections to the article [1]. A minor misprint is the lack in the first expression given in Eq. (34) of the positive integer number n that should multiply [Formula presented], the correct expression being [Formula presented]. Although the first three expressions given in Eq. (44) for the quantity under consideration in that equation are correct, there is a misprint in its fourth and last expression, as the term 4t in it should be given by U, so that it reads [Formula presented]. This misprint was not detected and propagated to some discussions: The first paragraph after Eq. (44) should be removed and in the paragraph above Eq. (126) the sentence part starting as “Due to the charge-spin recombination…” and ending as “…[Formula presented], the PDT…” should be replaced by “At [Formula presented] the PDT…”. In the second expression given in Eq. (124) there is a sign error: [Formula presented] should read [Formula presented], which gives [Formula presented]. In spite of the expression of the exponent [Formula presented], Eq. (123) for [Formula presented], being correct, the deviation [Formula presented] in it reading [Formula presented] rather than 1/2 is behind its negativity for [Formula presented] at any spin density m value. In the corresponding range [Formula presented] considered in the article, one thus finds that [Formula presented], so that the lower threshold singularity cusps in the transverse spin dynamical structure factor exist for [Formula presented]. The exponent [Formula presented]'s plots shown here in Fig. 1 correct those in Fig. 5. The present corrections do not affect the results presented in the article [1] other than those mentioned here.