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Eliashberg Function in ARPES measurements

Eliashberg Function in ARPES measurements. Yu He Cuperates Meeting Dec. 3, 2010. Content. Eliashberg Function - Definition and background. Previous work. E-p coupling in Pb. Be(10 1 0). Bi2212 and Pb-Bi2201. Guidelines for extracting Eliashberg Function. Our chances and challenges.

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Eliashberg Function in ARPES measurements

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  1. EliashbergFunction inARPES measurements Yu He Cuperates Meeting Dec. 3, 2010

  2. Content Eliashberg Function - Definition and background Previous work E-p coupling in Pb Be(1010) Bi2212 and Pb-Bi2201 Guidelines for extracting Eliashberg Function Our chances and challenges

  3. Eliashberg Function - Definition Eliashberg Function - Definition and background The total transition probability of a quasiparticle from/to the state by coupling to boson (phonon) modes of frequency specific heat renormalized density of states mass enhancement factor effective screening Coulomb potential Vc pseudopotentialUc Superconducting Tc JunrenShi eet al., Phys. Rev. B 92, 186401(2004)

  4. Eliashberg Function - Theory Eliashberg Function - Definition and background W.L. McMillan and M.J. Rowell et al., Phys. Rev. Lett, 14, 108(1965)

  5. Previous Work – Pb-I-Pb Junction Insulator PbPb Guess EliashbergFunc. Solve gap Equ. Vary Uc to fit Gap Calculated electron DOS Compare with actual electron DOS EliashbergFunc Uc W.L. McMillan and M.J. Rowell et al., Phys. Rev. Lett, 14, 108(1965)

  6. Previous Work – the ‘Kinkology’ The ‘Kinkology’ v

  7. Previous Work – Be(1010) Previous work Broad band at fermi surface (~80meV) - resolution Linear fitting of bare band near F.S. Introduce MEM for inverting the Integral JunrenShi eet al., Phys. Rev. B 92, 186401(2004)

  8. Previous Work – Bi2212 Previous work Bi2212 The angle independence of EliashbergFuncis consistent only with the fluctuation spectra at the short correlation length on the scale of the lattice constant Lin Zhao et al., arXiv:0909.0762

  9. Previous Work – Pb-Bi2201 E-Function Multiple p-e peaks Dispersion Corresponding Raman and Infrared data Self-energy Lin Zhao et al., arXiv:1002.0120v1

  10. General workflow to extract E-Func Guidelines for extracting Eliashberg Function Take VERY nice cuts Reconstruct Dispersion Fit MDC Maximum Entropy Method Eliashberg Function With k-dependence! Real part of QP self-energy

  11. Chances and Challenges Our chances and challenges Narrow Band width or broad band width Temperature control Right above Tc as little as possible – N(0) which is steep around gap Sensitive to self-energy extraction Complicated scenario in PG region Provide more fundamental ways for quantitative analysis MEM with Tom’s group Complementary ways for inelastic spectroscopy and transport

  12. The End

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