Erratum: Nodal quasiparticle lifetimes in cuprate superconductors [Phys. Rev. B72, 214512 (2005)]

Abstract

Due to an overall sign error of the right-hand side of Eq. ͑6͒ of Ref. 1, the approximate form of the gap renormalization due to forward impurity scattering in Eqs. ͑13͒ and ͑14͒ was incorrect, along with Figs. 2 and 3. The corrected figures are given here as Figs. 2 and 3. Note that in the forward scattering limit → 0 the effective gap slope increases.All other results in Ref. 1 shown in subsequent figures were obtained with the correct minus sign in Eq. ͑6͒. Equation ͑19͒, however, is incorrect because it was derived using the incorrect forward scattering limit for ṽ 2 / v 2 . The correct result as → 0 is that ṽ 2 diverges as ṽ 2 / v 2 ϰ −2/3 , and a transparent analytical result for ⌫ el ͑T͒ in the dirty limit ͓Eq. ͑19͔͒ is not obtained.In an unrelated minor error, Eq. ͑16͒ is missing a factor of 2; it should read ⌫ el ͑T͒Ӎ2ṽ 2 exp͑−ṽ 2 / ⌫ 0 ͒. All other equations are unaffected, and the conclusions of the paper do not change. Phys. Rev. B 72, 214512 ͑2005͒. 0 0.2 0.4 0.6 0.8 1 Κ 1 2 3 4 5 v 2 v 2 0 v 2 0.5 0 v 2 0.25 0 v 2 0.1 FIG. 2. Gap slope renormalization ṽ 2 / v 2 vs inverse scattering range from the solution of Eqs. ͑12͒ and ͑14͒ of Ref. 1. 0 0.5 1 T T c 0 0.1 0.2 0.3 el 0 a 2 1.5 1 0.5 0 Ω 0 0 0.1 0.2 0.3 0.4 el 0 b 0 0.5 1 T T c 0 0.2 0.4 0.6 el 0 c 2 1.5 1 0.5 0 Ω 0 0 0.2 0.4 0.6 0.8 el 0 d Κ 0.5 Κ 1.0 Κ 2.0 FIG. 3. Evaluation of the elastic nodal scattering rate ⌫ el from Eqs. ͑12͒ and ͑14͒ of Ref. 1.͑a͒ Temperature dependence of ⌫ el ͑ =0,T͒ for three values of the impurity potential range parameter = 0.5, 1.0, and 2.0 with ⌫ 0 = 0.5⌬ 0 ; ͑b͒ energy dependence of ⌫ el ͑ , T =0͒ for the same parameters; ͑c͒, ͑d͒ same as ͑a͒, ͑b͒ but for ⌫ 0 = 0.25⌬ 0 .

Magnetism, superconductivity, and pairing symmetry in iron-based superconductors

“…For s−state, non-magnetic impurities do not affect T c and non-linear gap equation [43]. For s + state, the impurity potential U i (q) has intra and interband components U i (0) and U i (π), respectively.…”

Dirac materials

“…This feature has been discussed within the context of graphene [381,386,387], d-wave superconductors [388] and more recently in topological insulators [245], and is thus a very universal phenomenon for two-dimensional Dirac materials, largely independent on the charge of the Dirac fermions.…”

In-plane superfluid density and microwave conductivity of the organic superconductorκ-(BEDT-TTF)2Cu[N(CN)2]Br: Evidence forMilbradt1, Bardin2, Truncik3 et al. 2013Phys. Rev. B354461View full textAdd to dashboardCite

“…This behavior is characteristic of nodal quasiparticles undergoing large-momentum-transfer scattering processes, either due to the exchange of antiferromagnetic spin fluctuations, 71,72 or from direct, short-range repulsion. 73,74 Interestingly, the energy threshold for exciting Umklapp processes appears to be small, 73 suggesting that the gap nodes are separated by approximately a reciprocal lattice vector.…”