![Page 1: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/1.jpg)
Eliashberg Function in ARPES measurements
Yu HeCuperates Meeting
Dec. 3, 2010
![Page 2: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/2.jpg)
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
![Page 3: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/3.jpg)
Eliashberg Function - Definition and background
specific heatrenormalized density of statesmass enhancement factoreffective screening Coulomb potential Vcpseudopotential UcSuperconducting Tc
The total transition probability of a quasiparticle from/to the state by coupling to boson (phonon) modes of frequency ;k
Eliashberg Function - Definition
Junren Shi eet al., Phys. Rev. B 92, 186401(2004)
![Page 4: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/4.jpg)
Eliashberg Function - Definition and backgroundEliashberg Function - Theory
W.L. McMillan and M.J. Rowell et al., Phys. Rev. Lett, 14, 108(1965)
![Page 5: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/5.jpg)
Pb Pb In
sula
tor
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)
![Page 6: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/6.jpg)
The ‘Kinkology’
v
T
Previous Work – the ‘Kinkology’
![Page 7: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/7.jpg)
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)
![Page 8: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/8.jpg)
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
![Page 9: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/9.jpg)
Lin Zhao et al., arXiv:1002.0120v1
Previous Work – Pb-Bi2201
Dispersion
Self-energy
E-FunctionMultiple p-e peaks
Corresponding Raman and Infrared data
![Page 10: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/10.jpg)
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
![Page 11: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/11.jpg)
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
![Page 12: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/12.jpg)
The End
![Page 13: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/13.jpg)
![Page 14: Eliashberg Function in ARPES measurements Yu He Cuperates Meeting Dec. 3, 2010](https://reader036.vdocument.in/reader036/viewer/2022062805/5697bfca1a28abf838ca9692/html5/thumbnails/14.jpg)