A New Spin on Photoemission Spectroscopy Page: 69 of 259
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; - 10
-1 2 -
0.0 0 2 04 0.6
0.125 0.375 0 625
k=0 0.25 0.5 0.75
04 0.5 06 0.7 0.5
Figure 2.10. (a) False-color plot of simulated ARPES intensity map of a parabolic Fermi
liquid band. MDC and EDC concept is illustrated. (b) EDC analysis of a stack of EDCs.
(c) MDC analysis of a stack of MDCs.
edge in the last couple EDC's of Figure 2.10(b), but the disturbance due to the usual strong
inelastic background is not present in this simulation.
The MDC offers a number of simplifications. At constant binding energy, the Fermi
function and the inelastic background are no longer issues as they are both momentum in-
dependent. This tends to make MDC lineshapes easier to work with and are often straight-
forwardly fit as Lorentzians. Extracting the band dispersion from an MDC analysis (as in
Figure 2.10(c)) is usually not difficult; the resulting dispersion, w(k), can be compared to
some non-interacting bare band model e(k) to extract E'(k, wk) as well as information about
the lifetime. MDC analysis has become standard for investigating many-body interactions
in detail. 55,56 A much more detailed review of the two methods and their direct relations
to the single particle spectral function are given in ref. 57.
2.6 Dipole matrix elements
In the analysis of section 2.4 we gave no details about the actual photoemitting Hamil-
tonian in equation 2.13. Ignoring electron spin, the Hamiltonian in the radiation field can
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Jozwiak, Chris. A New Spin on Photoemission Spectroscopy, thesis or dissertation, December 1, 2008; United States. (https://digital.library.unt.edu/ark:/67531/metadc1014237/m1/69/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.