Fermi liquids and non--Fermi liquids

TL;DR

This paper reviews the theoretical framework of Fermi liquids and non-Fermi liquids, discussing renormalization group techniques, Luttinger liquids, transport properties, and the Bethe ansatz, providing a comprehensive overview of interacting fermion systems.

Contribution

It offers a detailed synthesis of the key concepts, methods, and recent developments in understanding Fermi and non-Fermi liquids, including analytical approaches like the Bethe ansatz.

Findings

Clarifies the distinction between Fermi and non-Fermi liquids

Explains the renormalization group approach to interacting fermions

Discusses transport phenomena in Luttinger liquids

Abstract

Contents I. Introduction II. Fermi Liquids III. Renormalization group for interacting fermions IV. Luttinger liquids V. Transport in a Luttinger liquid VI. The Bethe ansatz: a pedestrian introduction VII. Conclusion and outlook