Heavy Fermions and the Kondo Lattice: a 21st Century Perspective

TL;DR

This paper provides a comprehensive overview of heavy fermion physics, focusing on modern developments such as Kondo insulators, topological Kondo insulators, and the coexistence of magnetism and the Kondo effect.

Contribution

It offers a modern perspective on heavy fermions, including advanced theoretical approaches like the large N expansion and symplectic N method, and discusses recent topics like topological Kondo insulators.

Findings

Introduction to Kondo effect and heavy fermion phenomenology

Discussion of Kondo insulators and topological Kondo insulators

Analysis of magnetism and Kondo effect coexistence

Abstract

These lecture notes give a brief introduction to heavy fermion physics, emphasizing aspects of particular modern interest. Following an introduction to the Kondo effect and the phenomenology of heavy fermions, the article introduces Kondo insulators, the simplest heavy fermions; the large N expansion for the Kondo lattice; heavy fermion superconductivity including the symplectic N approach; topological Kondo insulators and finally a discussion of the challenge of understanding the co-existence of magnetism and the Kondo effect.