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.

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

References in corpus (20)

• "Deconfined" quantum critical points
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum Criticality
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Algebraic charge liquids
• Fluctuating spin density waves in metals
• Instabilities near the onset of spin density wave order in metals
• Magnetic Breakdown in the electron-doped cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$: the reconstructed Fermi surface survives in the strongly overdoped regime
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Destruction of Neel order in the cuprates by electron-doping
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories

Cited by in corpus (12)

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• Density-wave instabilities of fractionalized Fermi liquids
• Structural and Correlation Effects in the Itinerant Insulating Antiferromagnetic Perovskite NaOsO3
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• ${\mathbb{Z}}_2$ 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
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Two-carrier Magnetoresistance: Applications to Ca${}_3$Ru${}_2$O${}_7$
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• 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