Landau theory of phase separation in cuprates

TL;DR

This paper applies Landau theory to analyze phase separation in cuprates, deriving analytic results for unstable region growth rates and sizes considering Coulomb interactions, applicable across various Landau parameter strengths.

Contribution

It provides a theoretical framework for understanding phase separation in cuprates using Landau Fermi liquid theory with analytic expressions.

Findings

Derived growth rates of unstable regions in hydrodynamic and collisionless limits.

Calculated size of unstable regions considering Coulomb interactions.

Results are valid for any Landau parameter strength.

Abstract

I discuss the problem of phase separation in cuprates from the point of view of the Landau theory of Fermi liquids. I calculate the rate of growth of unstable regions for the hydrodymanics and collisionless limit and, in presence of long range Coulomb interactions, the size of these regions. These are analytic results valid for any strength of the Landau parameters.