Despite over two decades of intense research efforts, the origin of high-temperature superconductivity in the copper oxides remains elusive. Angle-resolved photoemission spectroscopy experiments1,2 have revealed a kink in the dispersion relations (energy versus wavevector) of electronic states in the copper oxides at binding energies of 50-80 meV, raising the hope that this anomaly could be a key to understanding high-temperature superconductivity. The kink is often interpreted in terms of interactions between the electrons and a bosonic field. Although there is no consensus on the nature of the bosons (or even whether a boson model is appropriate), both phonons1 and spin fluctuations2 have been proposed as possible candidates. Here we report first-principles calculations of the role of phonons and the electron–phonon interaction in the photoemission spectra of La2 - xSr x CuO4. Our calculations within the standard formalism demonstrate that the phonon-induced renormalization of the electron energies and the Fermi velocity is almost one order of magnitude smaller than the effect observed in photoemission experiments. Therefore, our result rules out electron–phonon interaction in bulk La2 - xSr x CuO4 as the exclusive origin of the measured kink. Our conclusions are consistent with those reached independently in a recent study3 of the related compound YBa2Cu3O7.
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Lanzara, A. et al. Evidence for ubiquitous strong electron–phonon coupling in high-temperature superconductors. Nature 412, 510–514 (2001)
Johnson, P.-D. et al. Doping and temperature dependence of the mass enhancement observed in the cuprate Bi2Sr2CaCu2O8+δ . Phys. Rev. Lett. 87, 177007 (2001)
Heid, R., Bohnen, K.-P., Zeyher, R. & Manske, D. Momentum dependence of the electron-phonon coupling and self-energy effects in YBa2Cu3O7 within the local density approximation. Phys. Rev. Lett. (in the press); preprint at 〈http://arxiv.org/abs/0707.4429v2〉
Savrasov, S.-Y. & Andersen, O.-K. Linear-response calculation of the electron-phonon coupling in doped CaCuO2 . Phys. Rev. Lett. 77, 4430–4433 (1996)
Bohnen, K.-P., Heid, R. & Krauss, M. Phonon dispersion and electron-phonon interaction for YBa2Cu3O7 from first-principles calculations. Europhys. Lett. 64, 104–110 (2003)
Damascelli, A., Hussain, Z. & Shen, Z.-X. Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys. 75, 473–541 (2003)
Sahrakorpi, S., Lindroos, M., Markiewicz, R.-S. & Bansil, A. Evolution of midgap states and residual three dimensionality in La2-xSrxCuO4 . Phys. Rev. Lett. 95, 157601 (2005)
Zhou, X.-J. et al. Dichotomy between nodal and antinodal quasiparticles in underdoped (La2–xSrx)CuO4 superconductors. Phys. Rev. Lett. 92, 187001 (2004)
Perdew, J.-P. & Wang, Y. Pair-distribution function and its coupling-constant average for the spin-polarized electron gas. Phys. Rev. B 46, 12947–12954 (1992)
Ihm, J., Zunger, A. & Cohen, M.-L. Momentum-space formalism for the total energy of solids. J. Phys. C 12, 4409–4422 (1979)
Ino, A. et al. Doping-dependent evolution of the electronic structure of La2-xSrxCuO4 in the superconducting and metallic phases. Phys. Rev. B 65, 094504 (2002)
Pickett, W.-E. Electronic structure of the high-temperature oxide superconductors. Rev. Mod. Phys. 61, 433–512 (1989)
Baroni, S., De Gironcoli, S., Dal Corso, A. & Giannozzi, P. Phonons and related crystal properties from density-functional perturbation theory. Rev. Mod. Phys. 73, 515–562 (2001)
McQueeney, R.-J. et al. Anomalous dispersion of LO phonons in La1. 85Sr0. 15CuO4 at low temperatures. Phys. Rev. Lett. 82, 628–631 (1999)
McQueeney, R.-J., Sarrao, J.-L., Pagliuso, P.-G., Stephens, P.-W. & Osborn, R. Mixed lattice and electronic states in high-temperature superconductors. Phys. Rev. Lett. 87, 077001 (2001)
Pintschovius, L. et al. Lattice dynamical studies of HTSC materials. Physica C 185, 156–161 (1991)
Falter, C. Phonons, electronic charge response and electron-phonon interaction in the high-temperature superconductors. Phys. Status Solidi B 242, 78–117 (2005)
Hedin, L. & Lundqvist, S. in Solid State Physics Vol. 15 (eds Seitz, F., Turnbull, F. & Ehrenreich, H.) 1–181 (Academic, New York, 1969)
Grimvall, G. The Electron-Phonon Interaction in Metals Chs 3 5 (North-Holland, New York, 1981)
Allen, P.-B. & Mitrovich, B. in Solid State Physics Vol. 37 (eds Seitz, F., Turnbull, F. & Ehrenreich, H.) 1–92 (Academic, New York, 1982)
Valla, T., Fedorov, A.-V., Lee, J., Davis, J.-C. & Gu, J.-D. The ground state of the pseudogap in cuprate superconductors. Science 314, 1914–1916 (2006)
Chen, X.-K., Irwin, J.-C., Trodahl, H.-J., Kimura, T. & Kishio, K. Investigation of the superconducting gap in La2-xSrxCuO4 by Raman spectroscopy. Phys. Rev. Lett. 73, 3290–3293 (1994)
Marzari, N. & Vanderbilt, D. Maximally localized generalized Wannier functions for composite energy bands. Phys. Rev. B 56, 12847–12865 (1997)
Giustino, F., Yates, J.-R., Souza, I., Cohen, M.-L. & Louie, S.-G. Electron-phonon interaction via electronic and lattice Wannier functions: superconductivity in boron-doped diamond reexamined. Phys. Rev. Lett. 98, 047005 (2007)
Giustino, F., Cohen, M.-L. & Louie, S.-G. Electron-phonon interaction using Wannier functions. Phys. Rev. B 76, 165108 (2007)
Eschrig, M. & Norman, M.-R. Neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi2Sr2CaCu2O8+δ . Phys. Rev. Lett. 85, 3261–3264 (2000)
Farid, B. On the break in the single-particle energy dispersion and the universal nodal Fermi velocity in the high-temperature copper oxide superconductors. Phil. Mag. 84, 909–955 (2004)
Phillips, J. C. Self-organized networks and lattice effects in high-temperature superconductors. Phys. Rev. B 75, 214503 (2007)
Meevasana, W. et al. Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor. Phys. Rev. Lett. 96, 157003 (2006)
The authors thank Z. X. Shen, A. Lanzara, Y.-W. Son, and C.-H. Park for discussions. This work was supported by the National Science Foundation and by the Director, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division, of the US Department of Energy. Computational resources were provided by NPACI and NERSC. Part of the calculations were performed using modified versions of the packages Wannier90 and Quantum-ESPRESSO. The Fermi surfaces were rendered using the program XCrySDen (version 1.4.1).
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Giustino, F., Cohen, M. & Louie, S. Small phonon contribution to the photoemission kink in the copper oxide superconductors. Nature 452, 975–978 (2008). https://doi.org/10.1038/nature06874
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