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

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.

29 pages. Lecture notes for Autumn School on Correlated Electrons: Many-Body Physics: From Kondo to Hubbard. Julich 21-25 Sept, 2015

Cited by in corpus (20)

• Emulating heavy fermions in twisted trilayer graphene
• Kondo physics in antiferromagnetic Weyl semimetal Mn3+xSn1-x films
• Entanglement Entropy in a Holographic Kondo Model
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Coincidence angle-resolved photoemission spectroscopy: Proposal for detection of two-particle correlations
• Hall anomaly, Quantum Oscillations and Possible Lifshitz Transitions in Kondo Insulator YbB${}_{12}$: Evidence for Unconventional Charge Transport
• Possible multi-orbital ground state in CeCu${}_2$Si${}_2$
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• Nature of the unconventional heavy fermion Kondo state in monolayer CeSiI
• Kondo-lattice-mediated interactions in flat band systems
• Robust surface states and coherence phenomena in magnetically alloyed SmB6
• Contrasting pressure evolutions of $f$ electron hybridized states in CeRhIn${}_5$ and YbNi${}_3$Ga${}_9$: an optical conductivity study
• Unified description of resistivity and thermopower of Pr${}_2$Ir${}_2$O${}_7$: possible influence of crystal field excitation in a Kondo lattice
• Quantitative investigation of the 4$f$ occupation in the quasikagome Kondo lattice CeRh${}_{1-x}$Pd${}_x$Sn
• A Holographic Two-Impurity Kondo Model
• f-electron charge densities probed using core level non-resonant inelastic x-ray scattering
• Gate-defined Kondo lattices with valley-helical quantum dot arrays
• Fermionic Order by Disorder in a van der Waals Antiferromagnet
• Magnetic order and transport in a spin-fermion model on a superlattice
• Intrinsic one-dimensional conducting channels in the Kondo insulator SmB6