Erratum: Twofold and fourfold symmetric anisotropic magnetoresistance effect in a model with crystal field (J. Phys. Soc. Jpn. (2015) 84 (094710) DOI: 10.7566/JPSJ.84.094710)

Satoshi Kokado, Masakiyo Tsunoda

Research output: Contribution to journalComment/debate

Abstract

We found errors in the higher-order (HO) terms with ð=Þ2 in ð 0 2 ; Þ of Eq. (44), ð 2 2 ; Þ of Eq. (46), ð 4 2 ; Þ of Eq. (47), C4 of Eq. (62), and c0 4 of Eq. (63) in the original paper.1) The HO terms did not have a crucial role in the paper. In particular, the HO term in C4 (i.e., c0 4) was finally ignored because of its small value. Therefore, this correction does not affect the main results of the paper. (Equation Presented) For C4 of Eq. (62) consisting of ð 4 2 ; Þ , “þc0 4” in the right-hand side of Eq. (62) must be deleted. In addition, c0 4 of Eq. (63) should be deleted. On the basis of the correction of C4, we make the following corrections: (I) Sentences on lines 9–14 in Sect. 3.1(ii) starting from “Also, c0 4 of Eq. (63) …” should be deleted. (II) Another paragraph in Sect. 3.1 starting from “With regard to C4,…” must be deleted. Note here that Eq. (71) is regarded as Eq. (62) excluding c0 4. (III) The dot-dashed curves in Fig. 6 should be deleted. (IV) A paragraph in Sect. 3.1 starting from “We next determine …” must be replaced by “We next determine the effective value of the undefined parameter = by comparing C4 obtained by PT with that obtained by the EDM. Note that the value of = is necessary for calculations of C2 and C4 by the EDM [see Eqs. (58) and (59)], although = is not included in C2 and C4 obtained by the PT [see Eqs. (61) and (62)]. We here put r"1 = r"ð1 þ Þ; ð4Þ r"2 = r"; ð5Þ where η represents the difference between r"1=r" and r"2=r". Figure 4 shows the jj= dependence of C4 of Eqs. (62) and (59) for the systems with H = 1 eV, Δ = 0:1 eV, λ = 0:01 eV,37Þ "= ¼ 1, r ¼ 0, r ¼ 0:01,43Þ r"=r ¼ 1, and η ¼ 0, 1, and 2. Here, r ¼ 0 and r ¼ 0:01 are set on the basis of those for Fe4N.19Þ The range of jj= is roughly assumed to be 1=2 ≤ |λ|/δγ ≤ 3/2 considering the aforementioned parameters and δγ/Δ ≪ 1. We find that C4 obtained by the EDM is nearly constant and is close to that obtained by the PT [i.e., Eq. (71)] at each η. Therefore, jj= is considered to be valid for 1/2 ≤ |λ|/δγ ≤ 3/2. We choose |λ|/δγ = 1/2 in this study.”

Original languageEnglish
Article number108001
JournalJournal of the Physical Society of Japan
Volume86
Issue number10
DOIs
Publication statusPublished - 2017 Oct 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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