Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors

Abstract

We present a detailed review of scaling behavior in the magnetically underdoped cuprate superconductors (hole dopings less than 0.20) and show that it reflects the presence of two coupled components throughout this doping regime: a non-Landau Fermi liquid and a spin liquid whose behavior maps onto the theoretical Monte Carlo calculations of the 2D Heisenberg model of localized Cu spins for most of its temperature domain. We use this mapping to extract the doping dependence of the strength, $f(x)$ of the spin liquid component and the effective interaction, J_eff(x) between the remnant localized spins that compose it; we find both decrease linearly with x as the doping level increases. We discuss the physical origin of pseudogap behavior and conclude that it is consistent with scenarios in which the both the large energy gaps found in the normal state and their subsequent superconductivity are brought about by the coupling between the Fermi liquid quasiparticles and the spin liquid excitations, and that differences in this coupling between the 1-2-3 and 2-1-4 materials can explain the measured differences in their superconducting transition temperatures and other properties.

80 pages, 43 figures

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• Superconductivity in Iron Compounds
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Two-Fluid Model for Heavy Electron Physics
• Theoretical study of insulating mechanism in multi-orbital Hubbard models with a large spin-orbit coupling: Slater versus Mott scenario in Sr${}_2$IrO${}_4$
• Nature of strong hole pairing in doped Mott antiferromagnets
• Superconducting ground state of a doped Mott insulator
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Two Ising-like magnetic excitations in a single-layer cuprate superconductor
• Two-component uniform spin susceptibility in superconducting HgBa${}_2$CuO${}_{4+\delta }$ single crystals determined with ${}^{63}$Cu and ${}^{199}$Hg NMR
• Finding New Superconductors: The Spin-Fluctuation Gateway to High Tc and Possible Room Temperature Superconductivity
• Quasiparticle self-consistent GW study of cuprates: electronic structure, model parameters, and the two-band theory for Tc
• Toward a New Microscopic Framework for Kondo Lattice Materials
• Magnetic excitations in Kondo liquid: Superconductivity and Hidden Magnetic Quantum Critical Fluctuations
• Leading theories of the cuprate superconductivity: a critique
• The Valence Transition Model of Pseudogap, Charge-Order and Superconductivity in Electron- and Hole-Doped Copper Oxides
• Low-Temperature Pseudogap Phenomenon: Precursor of High-$T_c$ Superconductivity
• NMR Studies of pseudogap and electronic inhomogeneity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Evidence for two electronic components in high-temperature superconductivity from NMR
• Electronic spin susceptibilities and superconductivity in HgBa${}_2$CuO${}_{4+\delta }$ from nuclear magnetic resonance
• Anomalous Hall effect in heavy electron materials
• Contrasting Phenomenology of NMR Shifts in Cuprate Superconductors
• Interplay of localized and itinerant behavior in the one-dimensional Kondo-Heisenberg model
• Quantum critical scaling and superconductivity in heavy electron materials
• Charge 2e Boson Underlies Two - Fluid Model of the Pseudogap in Cuprate Superconductors
• Theory of dual fermion superconductivity in hole-doped cuprates
• Navigating the trends in the proximity to magnetic quantum critical point and superconductivity for Ce-based heavy-fermion compounds
• Observation of gapless collective charge fluctuations in an Anderson insulating state
• On properly integrating the electronic Raman and optical infra-red spectra of HTSC cuprate materials