1. Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010

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

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

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

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

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

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

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

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

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

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

12. The End