A Theory for the High-T_c Cuprates: Anomalous Normal-State and Spectroscopic Properties, Phase Diagram, and Pairing

Abstract

A theory of highly correlated layered superconducting materials isapplied for the cuprates. Differently from an independent-electron approximation, their low-energy excitations are approached in terms of auxiliary particles representing combinations of atomic-like electron configurations, where the introduction of a Lagrange Bose field enables treating them as bosons or fermions. The energy spectrum of this field accounts for the tendency of hole-doped cuprates to form stripe-like inhomogeneities. Consequently, it induces a different analytical behavior for auxiliary particles corresponding to "antinodal" and "nodal" electrons, enabling the existence of different pairing temperatures at T^* and T_c. This theory correctly describes the observed phase diagram of the cuprates, including the non-Fermi-liquid to FL crossover in the normal state, the existence of Fermi arcs below T^* and of a "marginal-FL" critical behavior above it. The qualitative anomalous behavior of numerous physical quantities is accounted for, including kink- and waterfall-like spectral features, the drop in the scattering rates below T^* and more radically below T_c, and an effective increase in the density of carriers with T and ω, reflected in transport, optical and other properties. Also is explained the correspondence between T_c, the resonance-mode energy, and the "nodal gap".

28 pages, 7 figures

References in corpus (21)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Two Gaps Make a High Temperature Superconductor?
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Electron-lattice interaction and its impact on high Tc superconductivity
• High-energy scale revival and giant kink in the dispersion of a cuprate superconductor
• Optical determination of the relation between the electron-boson coupling function and the critical temperature in high T${}_c$ cuprates
• Electronic structure near the 1/8-anomaly in La-based cuprates
• Unified electronic phase diagram for hole-doped high-Tc cuprates
• Evolution of a pairing-induced pseudogap from the superconducting gap of (Bi,Pb)2Sr2CuO6
• Imaging the essential role of spin-fluctuations in high-Tc superconductivity
• The nodal gap component as a good candidate for the superconducting order parameter in cuprates
• Scaling analysis of normal state properties of high-temperature superconductors
• Extracting the spectral function of the cuprates by a full two-dimensional analysis: Angle-resolved photoemission spectra of Bi2Sr2CuO6
• Shadow bands in single-layered Bi_2Sr_2CuO_6 studied by angle-resolved photoemission spectroscopy
• Origins of large critical temperature variations in single layer cuprates

Cited by in corpus (5)

• Equivalent dynamical complexity in a many-body quantum and collective human system
• Topological structures in unconventional scenario for 2D cuprates
• Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
• Influence of annealing on the electrical resistance of YBCO single crystals
• Annealing effects on the normal-state resistive properties of underdoped cuprates