Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation II

TL;DR

This paper clarifies foundational aspects of local Fermi Liquid theory and addresses misconceptions related to its robustness against ferromagnetism and phase separation, responding to recent critiques.

Contribution

It provides a detailed clarification of the microscopic foundations of local Fermi Liquid theory and defends its stability against certain phase transitions.

Findings

Reinforces the stability of local Fermi Liquids against ferromagnetism

Addresses misconceptions in recent literature

Clarifies the microscopic basis of Fermi Liquid theory

Abstract

This is a response to a recent paper by van Dongen, Uhrig, and E. M\"uller-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.