Quasiparticle pseudo-Hamiltonian of an infinitesimally polarized Fermi liquid

Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

“…Equivalent results were later obtained by Yarlagadda and Giuliani 24,28 by means of the RHA. These authors also took into account an infinitesimal degree of spin polarization, which allowed them to properly carry out Rice's program of calculating the Landau Fermi-liquid parameters.…”

“…Ultimately this approximation leads to a number of serious problems that only the physically sound inclusion of the latter can resolve. 24 A more detailed analysis, which accounts for the vertex corrections associated with both types of fluctuations, was carried out for an unpolarized EG in Refs. [25][26][27][28], where Kukkonen-Overhauser-like 29 effective interactions were obtained by different approaches.…”

“…24 A more detailed analysis, which accounts for the vertex corrections associated with both types of fluctuations, was carried out for an unpolarized EG in Refs. [25][26][27][28], where Kukkonen-Overhauser-like 29 effective interactions were obtained by different approaches. In particular, Yarlagadda and Giuliani 27,28 adopted a physically transparent approach termed the renormalized Hamiltonian approach ͑RHA͒, which consisted of a generalization of the RPA-based elegant pioneering theory of Hamann and Overhauser.…”

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

“…This procedure was pioneered by Hamann and Overhauser and later fully exploited by Yarlagadda and Giuliani to develop a renormalization based picture of the Fermi liquid. 1,16,37,38 The approach is based on the distinction between "test electrons" ͑which will ultimately become the quasiparticles͒ and the remaining electronic degrees of freedom that are treated as a screening medium capable of both charge and spin fluctuations. 39 From a formal point of view, the fully interacting Hamiltonian describing the whole set of degrees of freedom of the original system is at first separated into a test-electron part, a dielectric medium part, and a term coupling the test electrons with the medium,…”

“…20,21 The many-body local field factor method was more recently rid of serious problems and further developed by Yarlagadda and Giuliani who also provided a modern derivation by making use of the renormalized Hamiltonian approach. 16,22 A direct application of the technique was provided for the two-dimensional case. 23 Very recently, a more accurate analysis of the latter was reported in Ref.…”