eliashberg function in arpes measurements
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Eliashberg Function in ARPES measurements
Yu HeCuperates Meeting
Dec. 3, 2010
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
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)
Eliashberg Function - Definition and backgroundEliashberg Function - Theory
W.L. McMillan and M.J. Rowell et al., Phys. Rev. Lett, 14, 108(1965)
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)
The ‘Kinkology’
v
T
Previous Work – the ‘Kinkology’
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)
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
Lin Zhao et al., arXiv:1002.0120v1
Previous Work – Pb-Bi2201
Dispersion
Self-energy
E-FunctionMultiple p-e peaks
Corresponding Raman and Infrared data
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
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
The End
