Stability of the Landau–Fermi Liquid Theory

Autor:	M. Arvani, M. Aghajanloo, H. Gholizade
Rok vydání:	2011
Předmět:	Physics Effective mass (solid-state physics) Physics and Astronomy (miscellaneous) General Mathematics Quantum mechanics Quantum electrodynamics Propagator Fermi surface Fermi liquid theory Quantum field theory Fermi gas Legendre polynomials Boson
Zdroj:	International Journal of Theoretical Physics. 51:1379-1385
ISSN:	1572-9575 0020-7748
DOI:	10.1007/s10773-011-1013-6
Popis:	The stability of the Landau–Fermi liquid theory is investigated. It has been shown that if the interaction function of the Fermi system is a finite function of the angle between the momenta of two particles at the Fermi surface, then the liquid can be stable. We have shown that the absolute value of the expansion coefficients of the interaction functions in Legendre polynomials are decreasing function of the coefficients indices. We solve the stability condition for one photon exchange (OPE) in an electron gas. The results show that we must use the massive boson propagator (higher order corrections to the photon propagator). Similar to previous works (Abrikosov et al. in Method of Quantum Field Theory in Statistical Physics, Pergamon, Elmsford, 1965), our result is proportional to g2. The density and temperature dependence of results is occulted in the effective mass of the system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1904827548d80cc2ac94721a820f974f https://doi.org/10.1007/s10773-011-1013-6 Zobrazit plný text záznamu Full text from SpringerLink