Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation

Takeo Izuyama

Takeo Izuyama

Tai Kai Ng

P. G. J. van Dongen, Götz Silvester Uhrig, E. Müller‐Hartmann

In this paper we comment on the "Local Fermi Liquid Theory", proposed by Engelbrecht and Bedell [1]. We emphasize several important properties of the limit of infinite dimensions, in particular the k-dependence of the irreducible vertex function, the anisotropy of the Fermi surface and the necessary conditions for phase separation. It appears that these issues have not been fully appreciated in Ref. [1].

Qimiao Si A

K. S. Bedell, Jan-At Engelbrecht, Krastan B. Blagoev

This is a response to a recent paper by van Dongen, Uhrig, and E. Müller-Hartmann. We clarify the issues, which the above authors apparently did not fully appreciate, by referring to the microscopic foundations of Landau's Fermi Liquid Theory, its general application to the theory of metals and the theory of local Fermi Liquids.