Erratum to “A new basis set for the description of electrons in superconductors” [Phys. Lett. A 373 (2009) 1880]

Physics Letters A 373 (2009) 2800

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Erratum

Erratum to “A new basis set for the description of electrons in superconductors” [Phys. Lett. A 373 (2009) 1880] J.E. Hirsch Department of Physics, University of California, San Diego, La Jolla, CA 92093-0319, USA

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a b s t r a c t

Article history: Received 6 May 2009 Available online 23 May 2009

Some typographical errors are corrected and three references are added. © 2009 Elsevier B.V. All rights reserved.

Eq. (25b) should read

˜s| V c |˜s =

2U  N2

cos2 2k · Ri .

(25b)

i

Eq. (31a) should read

 V c BCS =

V (0) 

Ω

| v k |2 + | v − k |2

2

+

V (0) 

Ω

 V (2k)  ∗  | u k |2 | v k |2 + | u − k |2 | v − k |2 + u k v k u −k v ∗−k + u ∗−k v −k u k v ∗k . Ω

(31a)

Eq. (31b) should read

 V c new =

V (0) 

Ω

| v k |2 + | v − k |2

2

+

V (0) 

Ω

 V (2k) | u k |2 | v k |2 + | u − k |2 | v − k |2 − | u k v − k − u − k v k |2 . 2Ω

(31b)

In Eqs. (15b) and (17), |r − r |2 should be replaced by |r − r |. A discussion of a BCS state using basis states that do not obey Bloch’s theorem was given in Tanaka and Marsiglio [1] to take into account the effect of surfaces and impurities. In the early days of superconductivity, Kronig [2] and Heisenberg [3] proposed theories of superconductivity based on an electronic ‘lattice’ that had no relation to the underlying ionic lattice. References [1] K. Tanaka, F. Marsiglio, Phys. Rev. B 62 (2000) 5345. [2] R. de L. Kronig, Z. Phys. 78 (1932) 744. [3] W. Heisenberg, Z. Naturforsch. 2a (1947) 185.

DOI of original article: 10.1016/j.physleta.2009.03.058. E-mail address: [email protected]. 0375-9601/$ – see front matter © 2009 Elsevier B.V. All rights reserved. doi:10.1016/j.physleta.2009.05.033