Approaching Pomeranchuk Instabilities from Ordered Phase: A Crossing-symmetric Equation Method

TL;DR

This paper investigates the behavior of a three-dimensional Fermi liquid near Pomeranchuk instabilities using a crossing symmetric equation approach, revealing the sequence of instabilities and quantum multi-critical phenomena.

Contribution

It introduces a crossing symmetric equation method to analyze Pomeranchuk instabilities from the ordered phase, highlighting the sequence of charge nematic and other instabilities.

Findings

Charge nematic instability precedes others

Approach reveals quantum multi-criticality near ferromagnetic instability

Instabilities in spin and density channels are interconnected

Abstract

We explore features of a 3D Fermi liquid near generalized Pomeranchuk instabilities using a tractable crossing symmetric equation method. We approach the instabilities from the ordered ferromagnetic phase. We find quantum multi-criticality as approach to the ferromagnetic instability drives instability in other channel(s). It is found that a charge nematic instability precedes and is driven by Pomeranchuk instabilities in both the l = 0 spin and density channels.