Effect of spin-orbit coupling on the electron-phonon interaction of the superconductors Pb and Tl

Heid, R.; Bohnen, K.‐P.; Sklyadneva, I. Yu.; Chulkov, Evgueni V.

doi:10.1103/physrevb.81.174527

Cited by 94 publications

(115 citation statements)

References 38 publications

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“…This blueshift is well understood now and arises from the overestimation of the phonon frequencies in the absence of spin-orbit coupling in our calculation. 64,65 Our calculated electron-phonon coupling λ=1.24 lies in between the values reported in previous theoretical studies, 39,62,63 although it is somewhat smaller than the value 1.55 obtained from tunneling measurements 59 owing to the neglect of spin-orbit coupling. Figure 2 shows the solutions of the isotropic Eliashberg equations Eqs.…”

Section: B Leadsupporting

confidence: 61%

Anisotropic Migdal-Eliashberg theory using Wannier functions

2013

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We combine the fully anisotropic Migdal-Eliashberg theory with electron-phonon interpolation based on maximally-localized Wannier functions, in order to perform reliable and highly accurate calculations of the anisotropic temperature-dependent superconducting gap and critical temperature of conventional superconductors. Compared with the widely used McMillan approximation, our methodology yields a more comprehensive and detailed description of superconducting properties, and is especially relevant for the study of layered or low-dimensional systems as well as systems with complex Fermi surfaces. In order to validate our method we perform calculations on two prototypical superconductors, Pb and MgB2, and obtain good agreement with previous studies.

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Section: B Leadsupporting

confidence: 61%

Anisotropic Migdal-Eliashberg theory using Wannier functions

2013

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“…2,7,8 The lifetime or the linewidth (inverse lifetime) is an essential quantity, describing the decay of electron (hole) excitations 7,9 which are important in many processes such as photochemical and catalytical reactions. 10,11 Lead as a strong-coupling superconductor has been a focus of various theoretical studies of electron-phonon coupling properties, 6,[12][13][14][15][16][17][18][19][20][21] and a very detailed information concerning the e-ph interaction at the Fermi level (E F ) is now available. 13,14,[16][17][18][19]21 Recent ab initio local-density calculations 21 have shown that the strength of electronphonon interaction, λ(E F ), is strongly influenced by spin-orbit coupling (SOC).…”

Section: Introductionmentioning

confidence: 99%

“…10,11 Lead as a strong-coupling superconductor has been a focus of various theoretical studies of electron-phonon coupling properties, 6,[12][13][14][15][16][17][18][19][20][21] and a very detailed information concerning the e-ph interaction at the Fermi level (E F ) is now available. 13,14,[16][17][18][19]21 Recent ab initio local-density calculations 21 have shown that the strength of electronphonon interaction, λ(E F ), is strongly influenced by spin-orbit coupling (SOC). The calculations including SOC revealed that relativistic corrections increase λ(E F ) by 44% from 1.08 up to 1.56, solving the long-standing contradiction between too small values of λ(E F ) obtained in previous first-principles calculations 16,18,19 and the experimental eph coupling parameter, 14 λ(E F ) = 1.55.…”

Section: Introductionmentioning

confidence: 99%

“…The origin of the SOC-induced enhancement lies both in a softening of the phonon spectrum and in an increase in the e-ph coupling matrix elements. 21 Theoretical evaluations 18 have also shown the band and momentum anisotropy of the electron-phonon interaction on the Fermi surface of Pb that has been connected with the different orbital character of the bands crossing the Fermi level.…”

Section: Introductionmentioning

confidence: 99%

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Electron-phonon interaction in bulk Pb: Beyond the Fermi surface

et al. 2012

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The electron-phonon interaction in bulk Pb and the influence of spin-orbit coupling (SOC) on the pairing strength are investigated within the density-functional theory and linear-response approach in the mixed-basis pseudopotential representation. We find that the SOC-induced modifications of both electronic bands and lattice vibrations result in striking changes in the phonon-induced scattering of excited electrons (holes). The strength of the momentum-averaged electron-phonon interaction λ(E) ranges from 0 to 2.5 while the contribution to λ(E) from particular electronic states can even exceed 4. It is found that the coupling strength is exceedingly strong for phonon-induced transitions between electronic states of p and d symmetry. The electron-phonon coupling in Pb also shows a band dependence which, in particular, results in two different sets of electron-phonon coupling parameters on the two sheets of the Fermi surface.

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“…25,26 Díaz-Sánchez et al showed that inclusion of SOC is crucial for an improved agreement between calculation and measurement, 26 but it did not provide such a good description as it was the case, for example, for the phonon dispersion of lead. 10 . Very recently, DFPT has been used to investigate the lattice dynamics of Bi(111).…”

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confidence: 99%

Ab initiolattice dynamics and electron-phonon coupling of Bi(111)

et al. 2014

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We present a comprehensive ab initio study of structural, electronic, lattice dynamical and electron-phonon coupling properties of the Bi(111) surface within density functional perturbation theory. Relativistic corrections due to spin-orbit coupling are consistently taken into account.Changes of interatomic couplings are confined mostly to the first two bilayers, resulting in superbulk modes with frequencies higher than the optic bulk spectrum, and in an enhanced density of states at lower frequencies for atoms in the first bilayer. We give results for the momentumdependent electron-phonon coupling of electronic states belonging to the two surface electronic bands along ΓM which cross the Fermi energy. For larger momenta the lower surface band exhibits a moderate electron-phonon coupling of about 0.45, which is larger than the coupling constant of bulk Bi. For momenta close to Γ, states of both surface bands show even stronger couplings because of interband transitions to bulk states near Γ around the Fermi level. For these cases, the state dependent Eliashberg functions exhibit pronounced peaks at low energy and strongly deviate in shape from a Debye-like spectrum, indicating that an extraction of the coupling strength from measured electronic self-energies based on this simple model is likely to fail.

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Effect of spin-orbit coupling on the electron-phonon interaction of the superconductors Pb and Tl

Cited by 94 publications

References 38 publications

Anisotropic Migdal-Eliashberg theory using Wannier functions

Anisotropic Migdal-Eliashberg theory using Wannier functions

Electron-phonon interaction in bulk Pb: Beyond the Fermi surface

Ab initiolattice dynamics and electron-phonon coupling of Bi(111)

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