Gradient expansion approach to multiple-band Fermi liquids

Details Gradient expansion approach to multiple-band Fermi liquids Gradient expansion approach to multiple-band Fermi liquids

2007-06-28

arxiv.org/abs/0706.4251v2

Physical Review B {\bf 77}, 035110 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages, 7 figures

Scientific paper

10.1103/PhysRevB.77.035110

Promoted by the recent progress of Berry phase physics in spin galvanomagnetic communities, we develop a systematic derivation of the reduced Keldysh equation (RKE) which captures the low-energy dynamics of quasi-particles constrained within doubly degenerate bands forming a single Fermi surface. Specifically, we project out the fully occupied/empty band degrees of freedom perturbatively in the gradient expansion, whose coupling constant measures how a system is disequilibrated. As for the electron-electron interactions, however, we only employ the so-called adiabatic assumption of the Fermi liquid theory, so that the effect of electron correlations onto the adiabatic transport of quasi-particles, i.e. the hermitian (real) part of the self-energy, is taken into account in an unbiased manner.

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