Comment on “Anisotropic Scattering Caused by Apical Oxygen Vacancies in Thin Films of Overdoped High-Temperature Cuprate Superconductors”
Comment on “Anisotropic Scattering Caused by Apical Oxygen Vacancies in Thin Films of Overdoped High-Temperature Cuprate Superconductors”
复制标题
对“过掺杂高温铜酸盐超导体薄膜中顶端氧空位引起的各向异性散射”的评论
DOI:
10.1103/physrevlett.131.049701
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发表时间:
2023
影响因子:
8.6
通讯作者:
Hirschfeld, P. J.
中科院分区:
文献类型:
--
作者:
Özdemir, H. U.;Mishra, Vivek;Lee-Hone, N. R.;Kong, Xiangru;Berlijn, T.;Broun, D. M.;Hirschfeld, P. J.
In Ref.[1], Wang et al. address an important problem in the overdoped cuprates, taking the first steps toward understanding the structure of real defects in these materials, in this case the apical oxygen vacancy VO that sits immediately above the planar Cu. However, the approach taken has some issues, which we outline in this Comment. Impurity potentials.—The primary assumption of Ref.[1], based on symmetry arguments, is that since there is no hopping between the apical oxygen pz orbital and the Cu 3dx2− y2 orbital immediately below it, the leading couplings from the apical oxygen are to the nextnearest-neighboring Cu sites. This leads them to a realspace scattering potential for the vacancy that has no on-site term, and hence scattering matrix elements Vk; k0 that depend strongly on momentum. However, when ab initio calculations are carried out, as in Ref.[2], the impurity potential of the site-centered apical oxygen vacancy in La2− xSrxCuO4 (LSCO) is in fact dominated by the on-site term, to the point that the VO defect essentially acts as a point scatterer [see Fig. 1 (a)], with matrix elements that are almost independent of momentum transfer q. The reason for this discrepancy is that by making symmetry arguments analogous to those for hopping processes, Ref.[1] overlooks the strong electrostatic contribution the VO defect makes to the energy of the Cu site immediately below it, and is therefore missing the important isotropic contribution of the VO defects. Nevertheless, there does exist a source of extended impurity potentials in LSCO—the plaquette-centered Sr dopants [Fig. 1 (b)]—which give rise to strongly momentum-dependent Vk; k0. Note that in Ref.[1], scattering rate parameters Γs and Γd are used to fit to experiment, so the key qualitative differences between Refs.[1] and [2] do not appear at the level of final results.Fermi surface.—Overdoped LSCO undergoes a Lifshitz transition at which the van Hove singularity passes through the Fermi level [3]. As a result, the Fermi surface is far from isotropic, and the density of states and Fermi velocity vary strongly with angle and doping, in contrast to the circular Fermi surface assumed in Ref.[1]. This anisotropy has important consequences for physical properties such as superfluid density [4] and conductivity [5]. Fermi-surface anisotropy must be present for impurity scattering to produce a strongly angle-dependent scattering rate Γθ, a key assumption in Ref.[1].