Fermi Liquid instabilities in two-dimensional lattice models

TL;DR

This paper introduces a general method to detect Fermi liquid instabilities in two-dimensional lattice models, enabling the exploration of exotic phases in condensed matter systems.

Contribution

It extends Pomeranchuk's analysis to lattice systems, providing a straightforward and versatile tool for identifying instabilities and potential phase transitions.

Findings

Successfully applied to a lattice electron model with s and d-wave instabilities

Demonstrates the method's effectiveness in detecting Fermi liquid instabilities

Provides a new approach for exploring exotic phases in 2D materials

Abstract

We develop a procedure for detecting Fermi liquid instabilities by extending the analysis of Pomeranchuk to two-dimensional lattice systems. The method is very general and straightforward to apply, thus providing a powerful tool for the search of exotic phases. We test it by applying it to a lattice electron model with interactions leading to $s$ and d-wave instabilities.