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luttinger sum rule

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4 - Quasiparticle Excitation Spectra
Tao Xiang, Chinese Academy of Sciences, Beijing, Congjun Wu, Westlake University, Hangzhou
Book:

D-wave Superconductivity

Published online:

17 June 2022

Print publication:

09 June 2022, pp 93-109
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Summary

Chapter 4 introduces the single-electron spectral function and the basic models for describing the measurement spectra of angle-resolved photoemission. It is shown that the photoemission density is proportional to the single-particle spectral function under the "sudden" approximation in the three-step model. This offers an irreplaceable tool for probing the momentum dependence of the energy gap as well as other single-particle properties of quasiparticle excitations. The Luttinger theorem, which relates the Fermi momentum with the filling factor of electrons, the particle-hole mixing, and the effect of quasiparticle scattering on the transport properties are also discussed.