Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials

Abstract

The critical theory of the onset of antiferromagnetism in metals, with concomitant Fermi surface reconstruction, has recently been shown to be strongly coupled in two spatial dimensions. The onset of unconventional superconductivity near this critical point is reviewed: it involves a subtle interplay between the breakdown of fermionic quasiparticle excitations on the Fermi surface, and the strong pairing glue provided by the antiferromagnetic fluctuations. The net result is a logarithm-squared enhancement of the pairing vertex for generic Fermi surfaces, with a universal dimensionless co-efficient independent of the strength of interactions, which is expected to lead to superconductivity at the scale of the Fermi energy. We also discuss the possibility that the antiferromagnetic critical point can be replaced by an intermediate `fractionalized Fermi liquid' phase, in which there is Fermi surface reconstruction but no long-range antiferromagnetic order. We discuss the relevance of this phase to the underdoped cuprates and the heavy-fermion materials.

arXiv commentTalk at SCES 2011; 19 pages, 12 figures; (v2) corrected typos

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• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Evolution of the nematic susceptibility in LaFe${}_{1-x}$Co${}_x$AsO
• Holographic Fermions in Striped Phases
• Non-Fermi liquid at the FFLO quantum critical point
• Ultrafast dynamics in the presence of antiferromagnetic correlations in electron-doped cuprate La${}_{2-x}$Ce${}_x$CuO${}_{4\pm \delta }$
• Exotic Superconductivity Through Bosons in a Dynamical Cluster Approximation
• Dynamical susceptibility of a near-critical non-conserved order parameter and B2g Raman response in Fe-based superconductors
• ${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Neutron Scattering Studies of Spin-Phonon Hybridization and Superconducting Spin-Gaps in High Temperature Superconductor $L{a}_{2-x}(Sr,Ba{)}_{x}Cu{O}_4$
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Topological nature of Hubbard bands in strongly correlated systems
• Studying angle-dependent magnetoresistance oscillations of cuprate superconductors in a model with antiferromagnetic reconstruction and magnetic breakdown
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• Two-carrier Magnetoresistance: Applications to Ca${}_3$Ru${}_2$O${}_7$
• An emerging global picture of heavy fermion physics
• Fractionalized Fermi liquids and the cuprate phase diagram
• Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation