Erratum: Spin-Spiral States in Undoped Manganites: Role of Finite Hund’s Rule Coupling
[Phys. Rev. Lett. 104, 017201 (2010)]
Sanjeev Kumar, Jeroen van den Brink, and Arno P. Kampf
(Received 10 March 2010; published 26 March 2010)
DOI:10.1103/PhysRevLett.104.129902 PACS numbers: 75.47.Lx, 75.10.b, 75.80.+q, 77.80.e, 99.10.Cd
We have noticed that we made typographical errors in writing Eqs. (5), (6), and (8) of our Letter. The correct versions of these equations, which were indeed used in the actual calculations, are given below. In the previous version of Eq. (5) the matrix element in the 4th row and 2nd column on the right-hand side was incorrectly printed ashpa21. In Eq. (6) the overall factor 2 was missing, and in the second equationkþandkwere interchanged. On the right-hand side in Eq. (8), the first row was interchanged with the 2nd and the 3rd with the 4th. All results and conclusions of our Letter remain unaffected.
H ðkÞ hpp11 hpa11 hpp12 hpa12 hap11 haa 11 hap12 haa12 hpp21 hpa21 hpp22 hpa22 hap21 haa 21 hap22 haa22 2 6 6 6 4 3 7 7 7 5; (5) hpp¼ 2 X ¼x;yt cos2 2 coskþ þ sin22 cosk haa ¼ 2 X ¼x;yt cos2 2 cosk þ sin22 coskþ hap ¼ 2 X ¼x;yt sinðÞ sinq2 sink¼ hpa; (6) M ¼ 0 0 Q0 x 0 0 0 0 Q0 x Q0 x 0 0 0 0 Q0 x 0 0 2 6 6 6 4 3 7 7 7 5: (8)
We are grateful to Akira Nakanishi for pointing out the typographical errors in Eq. (6) of our Letter.
PRL 104, 129902 (2010) P H Y S I C A L R E V I E W L E T T E R S 26 MARCH 2010week ending
